t_test_symulacje.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import statsmodels.formula.api as smf\n",
    "import statsmodels.stats.api as sms\n",
    "import statsmodels.stats.power as smp\n",
    "from scipy.stats import t, norm, ttest_ind\n",
    "import decimal\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_normal_sample(n,mean,sd):\n",
    "    return np.random.normal(loc=mean,scale=sd,size=n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 172,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.743736060175053"
      ]
     },
     "execution_count": 172,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "smpl = get_normal_sample(30,13,2)\n",
    "(smpl.mean() - 10)/smpl.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [],
   "source": [
    "def conf_int_one_sample(x,alfa):\n",
    "    mean = np.mean(x)\n",
    "    se = np.std(x,ddof=1)/np.sqrt(len(x))\n",
    "    return mean - t.ppf(1-alfa,df=len(x)-1)*se\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {},
   "outputs": [],
   "source": [
    "def porownanie(pop_mean,smpl_mean,diff):\n",
    "    podsumowanie = []\n",
    "    moc = []\n",
    "    a=0\n",
    "    for j in range(10):\n",
    "        samples_downs = []\n",
    "        for i in range(1,501):\n",
    "            i =i*0.001\n",
    "            #size = (smp.ttest_power((smpl_mean-10)/np.std(2,ddof=1),i,alternative='larger'))\n",
    "            #size = (smp.TTestIndPower().solve_power(effect_size = (2)/np.std(2,ddof=1) , power=0.80,alpha=i))\n",
    "            size = smp.tt_ind_solve_power(effect_size=(smpl_mean-10)/2,alpha=i,power=0.8,alternative = \"larger\")\n",
    "            size = int(size)\n",
    "            sample = get_normal_sample(size,smpl_mean,2)\n",
    "            down = conf_int_one_sample(sample,i)\n",
    "            samples_downs.append(down)\n",
    "\n",
    "        g1 = np.array(samples_downs) - pop_mean \n",
    "        sample_mean = smpl_mean - pop_mean\n",
    "        cent_diff = diff - pop_mean\n",
    "        \n",
    "        diff_01 = len([i for i in g1 if i>0 and sample_mean>0])\n",
    "        diff_non_01 = len([i for i in g1 if i>cent_diff and sample_mean>cent_diff])\n",
    "\n",
    "        diff_02 = len([i for i in g1 if i<0 and sample_mean<0])\n",
    "        diff_non_02 = len([i for i in g1 if i<cent_diff and sample_mean<cent_diff])\n",
    "\n",
    "        diff_03 = len([i for i in g1 if i<0 and sample_mean>0])\n",
    "        diff_non_03 = len([i for i in g1 if i<cent_diff and sample_mean>cent_diff])\n",
    "\n",
    "        diff_04 = len([i for i in g1 if i>0 and sample_mean<0])\n",
    "        diff_non_04 = len([i for i in g1 if i>cent_diff and sample_mean<cent_diff])\n",
    "\n",
    "        podsumowanie.append([diff_01,diff_non_01,diff_02,diff_non_02,diff_03,diff_non_03,diff_04,diff_non_04])\n",
    "\n",
    "    ile_wszystkich = sum([sum(i) for i in podsumowanie])/2\n",
    "\n",
    "    for i in range(len(podsumowanie)):\n",
    "        pop_dobrze = sum([i[0] for i in podsumowanie])\n",
    "        nwd_dobrze = sum([i[2] for i in podsumowanie])\n",
    "        nwd_zle = sum([i[4] for i in podsumowanie])\n",
    "        pop_zle = sum([i[6] for i in podsumowanie])\n",
    "        alt_pop_dobrze = sum([i[1] for i in podsumowanie])\n",
    "        alt_nwd_dobrze = sum([i[3] for i in podsumowanie])\n",
    "        alt_nwd_zle = sum([i[5] for i in podsumowanie])\n",
    "        alt_pop_zle = sum([i[7] for i in podsumowanie])\n",
    "\n",
    "    print(np.median(moc))\n",
    "    print('test, ocena testu')\n",
    "\n",
    "    print('pozytywny, dobrze', '\\n' , 'dla klasycznego: ', pop_dobrze,'\\n', 'dla alternatywnego: ', alt_pop_dobrze,' ')\n",
    "\n",
    "    print('\\n','pozytywny, źle', '\\n' , 'dla klasycznego: ', pop_zle,'\\n', 'dla alternatywnego: ', alt_pop_zle)\n",
    "\n",
    "    print('\\n','nie wiadomo, dobrze', '\\n' , 'dla klasycznego: ', nwd_dobrze,'\\n', 'dla alternatywnego: ', alt_nwd_dobrze)\n",
    "\n",
    "    print('\\n','nie wiadomo, źle', '\\n' , 'dla klasycznego: ', nwd_zle,'\\n', 'dla alternatywnego: ', alt_nwd_zle)\n",
    "\n",
    "    print('\\n','poprawnie', '\\n' , 'dla klasycznego: ', (pop_dobrze+nwd_dobrze)/ile_wszystkich ,'\\n', 'dla alternatywnego: ', (alt_pop_dobrze+alt_nwd_dobrze)/ile_wszystkich)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nan\n",
      "test, ocena testu\n",
      "pozytywny, dobrze \n",
      " dla klasycznego:  4614 \n",
      " dla alternatywnego:  0  \n",
      "\n",
      " pozytywny, źle \n",
      " dla klasycznego:  0 \n",
      " dla alternatywnego:  105\n",
      "\n",
      " nie wiadomo, dobrze \n",
      " dla klasycznego:  0 \n",
      " dla alternatywnego:  4895\n",
      "\n",
      " nie wiadomo, źle \n",
      " dla klasycznego:  386 \n",
      " dla alternatywnego:  0\n",
      "\n",
      " poprawnie \n",
      " dla klasycznego:  0.9228 \n",
      " dla alternatywnego:  0.979\n"
     ]
    }
   ],
   "source": [
    "porownanie(10,11,12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n"
     ]
    },
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-192-6b9518777fa9>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mporownanie\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m10\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m13\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m12\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;32m<ipython-input-191-fee7d62f297b>\u001b[0m in \u001b[0;36mporownanie\u001b[1;34m(pop_mean, smpl_mean, diff)\u001b[0m\n\u001b[0;32m      9\u001b[0m             \u001b[1;31m#size = (smp.ttest_power((smpl_mean-10)/np.std(2,ddof=1),i,alternative='larger'))\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     10\u001b[0m             \u001b[1;31m#size = (smp.TTestIndPower().solve_power(effect_size = (2)/np.std(2,ddof=1) , power=0.80,alpha=i))\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 11\u001b[1;33m             \u001b[0msize\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msmp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtt_ind_solve_power\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0meffect_size\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0msmpl_mean\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m10\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m/\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0malpha\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mpower\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0.8\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0malternative\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;34m\"larger\"\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     12\u001b[0m             \u001b[0msize\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0msize\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     13\u001b[0m             \u001b[0msample\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mget_normal_sample\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0msize\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0msmpl_mean\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py\u001b[0m in \u001b[0;36msolve_power\u001b[1;34m(self, effect_size, nobs1, alpha, power, ratio, alternative)\u001b[0m\n\u001b[0;32m    612\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    613\u001b[0m         '''\n\u001b[1;32m--> 614\u001b[1;33m         return super(TTestIndPower, self).solve_power(effect_size=effect_size,\n\u001b[0m\u001b[0;32m    615\u001b[0m                                                       \u001b[0mnobs1\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnobs1\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    616\u001b[0m                                                       \u001b[0malpha\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0malpha\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py\u001b[0m in \u001b[0;36msolve_power\u001b[1;34m(self, **kwds)\u001b[0m\n\u001b[0;32m    272\u001b[0m             \u001b[1;31m# TODO: check more cases to make this robust\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    273\u001b[0m             \u001b[1;32mif\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0misnan\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mstart_value\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 274\u001b[1;33m                 val, infodict, ier, msg = optimize.fsolve(func, start_value,\n\u001b[0m\u001b[0;32m    275\u001b[0m                                                           full_output=True) #scalar\n\u001b[0;32m    276\u001b[0m                 \u001b[1;31m#val = optimize.newton(func, start_value) #scalar\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\scipy\\optimize\\minpack.py\u001b[0m in \u001b[0;36mfsolve\u001b[1;34m(func, x0, args, fprime, full_output, col_deriv, xtol, maxfev, band, epsfcn, factor, diag)\u001b[0m\n\u001b[0;32m    158\u001b[0m                'diag': diag}\n\u001b[0;32m    159\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 160\u001b[1;33m     \u001b[0mres\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0m_root_hybr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfunc\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mx0\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mjac\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mfprime\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0moptions\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    161\u001b[0m     \u001b[1;32mif\u001b[0m \u001b[0mfull_output\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    162\u001b[0m         \u001b[0mx\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mres\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'x'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\scipy\\optimize\\minpack.py\u001b[0m in \u001b[0;36m_root_hybr\u001b[1;34m(func, x0, args, jac, col_deriv, xtol, maxfev, band, eps, factor, diag, **unknown_options)\u001b[0m\n\u001b[0;32m    235\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mmaxfev\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;36m0\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    236\u001b[0m             \u001b[0mmaxfev\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;36m200\u001b[0m \u001b[1;33m*\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mn\u001b[0m \u001b[1;33m+\u001b[0m \u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 237\u001b[1;33m         retval = _minpack._hybrd(func, x0, args, 1, xtol, maxfev,\n\u001b[0m\u001b[0;32m    238\u001b[0m                                  ml, mu, epsfcn, factor, diag)\n\u001b[0;32m    239\u001b[0m     \u001b[1;32melse\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py\u001b[0m in \u001b[0;36mfunc\u001b[1;34m(x)\u001b[0m\n\u001b[0;32m    235\u001b[0m         \u001b[1;32mdef\u001b[0m \u001b[0mfunc\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    236\u001b[0m             \u001b[0mkwds\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mkey\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mx\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 237\u001b[1;33m             \u001b[0mfval\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_power_identity\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m**\u001b[0m\u001b[0mkwds\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    238\u001b[0m             \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_counter\u001b[0m \u001b[1;33m+=\u001b[0m \u001b[1;36m1\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    239\u001b[0m             \u001b[1;31m#print self._counter,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py\u001b[0m in \u001b[0;36m_power_identity\u001b[1;34m(self, *args, **kwds)\u001b[0m\n\u001b[0;32m    185\u001b[0m     \u001b[1;32mdef\u001b[0m \u001b[0m_power_identity\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m*\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwds\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    186\u001b[0m         \u001b[0mpower_\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mkwds\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpop\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'power'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 187\u001b[1;33m         \u001b[1;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpower\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwds\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m-\u001b[0m \u001b[0mpower_\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    188\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    189\u001b[0m     \u001b[1;32mdef\u001b[0m \u001b[0msolve_power\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwds\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py\u001b[0m in \u001b[0;36mpower\u001b[1;34m(self, effect_size, nobs1, alpha, ratio, df, alternative)\u001b[0m\n\u001b[0;32m    557\u001b[0m         \u001b[0mnobs\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;36m1.\u001b[0m\u001b[1;33m/\u001b[0m \u001b[1;33m(\u001b[0m\u001b[1;36m1.\u001b[0m \u001b[1;33m/\u001b[0m \u001b[0mnobs1\u001b[0m \u001b[1;33m+\u001b[0m \u001b[1;36m1.\u001b[0m \u001b[1;33m/\u001b[0m \u001b[0mnobs2\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    558\u001b[0m         \u001b[1;31m#print 'calling ttest power with', (effect_size, nobs, alpha, df, alternative)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 559\u001b[1;33m         \u001b[1;32mreturn\u001b[0m \u001b[0mttest_power\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0meffect_size\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mnobs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0malpha\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdf\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mdf\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0malternative\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0malternative\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    560\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    561\u001b[0m     \u001b[1;31m#method is only added to have explicit keywords and docstring\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py\u001b[0m in \u001b[0;36mttest_power\u001b[1;34m(effect_size, nobs, alpha, df, alternative)\u001b[0m\n\u001b[0;32m     53\u001b[0m     \u001b[0mpow_\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;36m0\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     54\u001b[0m     \u001b[1;32mif\u001b[0m \u001b[0malternative\u001b[0m \u001b[1;32min\u001b[0m \u001b[1;33m[\u001b[0m\u001b[1;34m'two-sided'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'2s'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'larger'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 55\u001b[1;33m         \u001b[0mcrit_upp\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mstats\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0misf\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0malpha_\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdf\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     56\u001b[0m         \u001b[1;31m#print crit_upp, df, d*np.sqrt(nobs)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     57\u001b[0m         \u001b[1;31m# use private methods, generic methods return nan with negative d\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\scipy\\stats\\_distn_infrastructure.py\u001b[0m in \u001b[0;36misf\u001b[1;34m(self, q, *args, **kwds)\u001b[0m\n\u001b[0;32m   2073\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   2074\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0many\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mcond\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 2075\u001b[1;33m             \u001b[0mgoodargs\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0margsreduce\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mcond\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m*\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mq\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m+\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mscale\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mloc\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   2076\u001b[0m             \u001b[0mscale\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mloc\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mgoodargs\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mgoodargs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mgoodargs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mgoodargs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   2077\u001b[0m             \u001b[0mplace\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0moutput\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcond\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_isf\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0mgoodargs\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mscale\u001b[0m \u001b[1;33m+\u001b[0m \u001b[0mloc\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\scipy\\stats\\_distn_infrastructure.py\u001b[0m in \u001b[0;36margsreduce\u001b[1;34m(cond, *args)\u001b[0m\n\u001b[0;32m    536\u001b[0m         \u001b[0mnewargs\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[0mnewargs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    537\u001b[0m     \u001b[0mexpand_arr\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mcond\u001b[0m \u001b[1;33m==\u001b[0m \u001b[0mcond\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 538\u001b[1;33m     \u001b[1;32mreturn\u001b[0m \u001b[1;33m[\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mextract\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mcond\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0marr1\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mexpand_arr\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0marr1\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mnewargs\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    539\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    540\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Anaconda\\lib\\site-packages\\scipy\\stats\\_distn_infrastructure.py\u001b[0m in \u001b[0;36m<listcomp>\u001b[1;34m(.0)\u001b[0m\n\u001b[0;32m    536\u001b[0m         \u001b[0mnewargs\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[0mnewargs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    537\u001b[0m     \u001b[0mexpand_arr\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mcond\u001b[0m \u001b[1;33m==\u001b[0m \u001b[0mcond\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 538\u001b[1;33m     \u001b[1;32mreturn\u001b[0m \u001b[1;33m[\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mextract\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mcond\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0marr1\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mexpand_arr\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0marr1\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mnewargs\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    539\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    540\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
    "porownanie(10,13,12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9999999999982602\n",
      "test, ocena testu\n",
      "pozytywny, dobrze \n",
      " dla klasycznego:  5000 \n",
      " dla alternatywnego:  5000  \n",
      "\n",
      " pozytywny, źle \n",
      " dla klasycznego:  0 \n",
      " dla alternatywnego:  0\n",
      "\n",
      " nie wiadomo, dobrze \n",
      " dla klasycznego:  0 \n",
      " dla alternatywnego:  0\n",
      "\n",
      " nie wiadomo, źle \n",
      " dla klasycznego:  0 \n",
      " dla alternatywnego:  0\n",
      "\n",
      " poprawnie \n",
      " dla klasycznego:  1.0 \n",
      " dla alternatywnego:  1.0\n"
     ]
    }
   ],
   "source": [
    "porownanie(10,15,12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [],
   "source": [
    "def conf_dist(sample_mean,diff):\n",
    "    sample = get_normal_sample(70,sample_mean,2)\n",
    "    downs = []\n",
    "    ups= []\n",
    "    alfas = []\n",
    "    for i in range(1,501):\n",
    "        alfa = i*0.01\n",
    "        down = conf_int_one_sample(sample,alfa)\n",
    "        downs.append(down)\n",
    "        alfas.append(alfa)\n",
    "\n",
    "    dwns = np.array(downs)-(diff-10)\n",
    "    np.mean(sample)\n",
    "\n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_subplot(1,1,1)\n",
    "    ax.plot(downs,alfas,color='blue')\n",
    "    ax.plot(dwns,alfas,color='red')\n",
    "    ax.axvline(x=diff)\n",
    "    ax.set_xlabel('wartość dolnej granicy')\n",
    "    ax.set_ylabel('alfa')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "conf_dist(12,12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wZ476ypJ5//wnfPSRmnpDqRBkWWUlNGsGvXunTiISVVVVOEGs1Vcbpk7n1s2sE/A7oDOwUfX97r5zpFzSGKqq4PDDw9BRkYyqXpLyiCNgq61SpylNde0RDAbuAlYBRwD3AkNjhZJG8Oab4Uszb0nGvfEGvP22mvr6qGsh2NjdJwHm7u+7+6+BI+PFkvVWWRn+1btDMq567YETai57JXVW18sulpnZBsC/chPJfQhoWcliVlUFXbpAu3apk4hEVVkJBxwAbWsueyV1VtcewU+ATYAfExaSOQv4YaxQsp4+/DAMo1BvQDJu1qwwOE5Nff2stUdgZkPd/WzgYHd/EfgCOK9JkknDaZ0+KROPPBL+VVNfP+vqEexnZjsB55vZVma2df5XUwSUBqiqgl12gV13TZ1EJKrKytDMd9kldZLStq5zBAOACcDOwFS+uQ6x5+6XYvLpp2HSlZ//PHUSkagWLgxTaV1xReokpW+tPQJ3v93ddyWsLrazu3fM+1IRKEaPPgqrVqmvLJk3diysXq2m3hjWdY6g+vDP1YUOBbn7wiippOEqK2GHHcKIIZEMq6wMI4X22y91ktK3rkNDUwmHgODrw0Ke+16HhorNl1+GJZp++EPYQLOHSHYtXRoW3jv/fDX1xrDWQuDuHau/z/UIOpE3xYQUmccfD+8Q9ZUl4x57LHzuUVNvHHWda+gC4DKgHTANOBB4DjgqXjSpt8pKaNUKunVLnUQkqsrKMK/QYYelTpINde1UXQZ0Ad539yOAfYD50VJJ/a1aBWPGwPe/Dy1bpk4jEk1+U2/RInWabKhrIVjm7ssAzGxDd38T0MjdYjJ5MixYoL6yZN4zz4RR0mrqjaeucw3NNrMtgSrgcTP7FJgTL5bUW2UlbLgh9OiROolIVJWVsNFGcMwxqZNkR50KgbtX195fm9lTQCvChWZSDNzD1cTHHAObbZY6jUg01U29R4+wPrE0jnoPvHL3p919tLuviBFIGuDll+GDDzTzlmTe1Kkwe7aaemPTCNwsqKwMg6mPOy51EpGoqldfVVNvXCoEWVBVBV27Qps2qZOIRFVVFYaMtm6dOkm2qBCUupkz4bXX1FeWzHv7bXj9dTX1GFQISl312gN6d0jGqanHo0JQ6kaNgr33hg4dUicRiWrUKNh3X/jOd1InyZ6ohcDMeprZW2Y208yuXMt2XcxstZn1iZknc+bMgeefh1NOSZ1EJKrZs+GFF9TUY4lWCMysGXAn0AvoDPQ1s861bHcTMDFWlsyq7ivr3SEZp6YeV8wewf7ATHd/N3fNwUjghALbXQo8DHwSMUs2PfwwfO97WpJSMu/hh6FzZy1JGUvMQtAWmJV3e3buvq+YWVvgJMKSmLUys35mNsXMpsybN6/Rg5ak+fPDOn0nn5w6iUhU8+aF+YXU1OOJWQiswH1e4/atwH+6++q1vZC7D3T3CnevaKOx8sGYMWGdPvWVJeNGj4Y1a9TUY6rrpHMNMRton3e7Hd+eqK4CGGlmANsAx5rZKnevipgrG0aNgp12gn32SZ1EJKpRo6BjR9hrr9RJsitmj+BFoJOZdTSzlsAZwOj8Ddy9o7t3cPcOwEPAf6gI1MHixWGJppNPBivU8RLJhkWLwsJ7aupxResRuPsqM7uEMBqoGTDI3WeYWf/c42s9LyBrMW4crFihvrJk3qOPwsqVauqxxTw0hLuPA8bVuK9gAXD3c2NmyZRRo2D77eGgg1InEYlq1CjYYQc44IDUSbJNVxaXmi+/DD2CE08MM46KZNTSpTB+fFiJTE09Lu3eUvPYY7BkifrKknkTJ4ZioKYenwpBqRk1CrbaCrp1S51EJKpRo2DrrcO00xKXCkEpWbkyDKo+/nho0SJ1GpFoVqwIl8qccAI0j3omU0CFoLRMmgSffaa+smTeE0+EoaNq6k1DhaCU3H8/tGoVFqkXybD774ctt4Tu3VMnKQ8qBKVi+fKwYOtJJ8GGG6ZOIxLNsmWhqZ98MrRsmTpNeVAhKBUTJ4a+8hlnpE4iEtWECfD552rqTUmFoFSMHBlW7D7yyNRJRKIaORLatIEjjkidpHyoEJSCpUvDaKE+fTRaSDJtyZIwWqhPH40WakoqBKXg0UfDO+T001MnEYlq7NjwuUdNvWmpEJSCkSPD3EK6skYybuRI2HFHOPTQ1EnKiwpBsVu8OMwtdOqp0KxZ6jQi0SxaFOYWUlNveioExW706DCeTkMoJOMeeSSMklZTb3oqBMVu+HBo3x4OPDB1EpGohg8Pi+5pyummp0JQzD7+OMw2etZZmodXMu2jj8JKZGedpZXIUtBfl2I2YkRYoP7ss1MnEYlq+PCwQL2aehoqBMVs6FCoqIBdd02dRCSqoUNh//1hl11SJylPKgTF6tVX4eWX4ZxzUicRiWr69PClpp6OCkGxGjo0XFqpIRSScdVNXReRpaNCUIxWr4Zhw6BXrzDpikhGrVoVmnrv3rDNNqnTlC8VgmL05JMwZ476ypJ5kyaFwXFq6mmpEBSjIUPCAjTf/37qJCJRDRkSluDu3Tt1kvKmQlBsFiyAhx4K4+g22ih1GpFo5s8PC9SffbbWWkpNhaDYDB0aVu7u1y91EpGo7r03NPULL0ydRFQIiok7DBwYrrHfY4/UaUSiqW7qBx0Eu++eOo1o6Ydi8txz8MYbcM89qZOIRDV5Mrz1FgwenDqJgHoExWXgQNh8cw2olswbOBC22CJMOS3pqRAUi08/hQceCLNubbpp6jQi0SxcCA8+qKZeTFQIisWwYWHdAZ05k4y7776w7oCaevFQISgG7jBgAOy3H+yzT+o0ItFUN/WKCth779RppFrUQmBmPc3sLTObaWZXFnj8TDN7Jff1nJntFTNP0Zo0CWbMgEsvTZ1EJKrHHw/jIdTUi0u0QmBmzYA7gV5AZ6CvmXWusdn/Ad3cfU/gBmBgrDxF7bbbYNttNcGcZN5tt8F222k8RLGJ2SPYH5jp7u+6+wpgJHBC/gbu/py7f5q7+Q+gXcQ8xelf/4KxY6F/f11eKZn21lswbhxcfLGaerGJWQjaArPybs/O3VebfwfGR8xTnO64A1q0CO8OkQy74w5o2TJ85pHiEvOCskIrj3rBDc2OIBSCQ2t5vB/QD+A73/lOY+VLb9GicEXNGWfA9tunTiMSzWefhQnm+vYNh4akuMTsEcwG2ufdbgfMqbmRme0J3A2c4O4LCr2Quw909wp3r2iTpfn5//pX+OILuOyy1ElEoho4EJYsUVMvVjELwYtAJzPraGYtgTOA0fkbmNl3gFHA2e7+dsQsxWfZMvjTn+DII8OwUZGM+vJLuPlmOPpojY4uVtEODbn7KjO7BJgINAMGufsMM+ufe3wAcB3QGvgfMwNY5e4VsTIVlUGDwoocw4enTiIS1T33wNy5cP/9qZNIbaJOOufu44BxNe4bkPf9BcAFMTMUpZUr4fe/D1MvHn546jQi0axYEZr6IYfAYYelTiO10eyjKQwbBu+/D3feCVbonLpINtx3H8yaBX/5i5p6MdMUE01t9Wr43e/C9fXHHps6jUg0q1fDjTfCvvtCz56p08jaqEfQ1B54AN5+O/yrj0iSYSNHhuslH3pITb3YqUfQlFasgGuvhT33hFNOSZ1GJJoVK+C660LH96STUqeRdVGPoCndcw+88w48+ihsoBos2fXXv8K778L48WrqpUD/RU1lyRK4/nro2hV69UqdRiSaL74ITb1bN+jRI3UaqQv1CJrKn/4Urht4+GEdMJVM++Mf4ZNP4JFH1NRLhXoETeGDD8LwiT594OCDU6cRieb99+Gmm+C00+DAA1OnkbpSIWgKl18e/v3jH9PmEIns5z8PvQA19dKiQhDbU0+FlbqvvBJ22il1GpFoJk0KRz6vugrat1/39lI8VAhiWr4cLrkEOnSAX/widRqRaJYtC8tP7rzz1x1gKR06WRzTDTfA66+H4aIbb5w6jUg0118f1iIePx422ih1Gqkv9QhimTo1nCA+91xNJSGZ9uKL4QTx+edrKolSpUIQw4oVoQBstx3cckvqNCLRLF8O550HO+wQRkhLadKhoRiuvRZeey0sSr/llqnTiERzzTUwY0ZYlF5NvXSpR9DYHnkkTMB+0UXQu3fqNCLRVFaGYaIXX6yL5UudCkFjeucd+OEPw9KTt96aOo1INP/6Vzj62aWLjn5mgQpBY/nyyzCj6AYbhHl3NXRCMmrp0nCRfPPm4RKZDTdMnUjWl84RNAZ3uPBCmD49DBXt0CF1IpEo1qyBCy6AV18N5wV0jWQ2qBA0hquvDstP/va3GioqmXbVVTBiBPz3f2uoaJbo0ND6uvXWsPRkv37hXSKSUTffHK4X6N8/zJgi2aFCsD5uvx1++lM4+WQtRC+ZduutYUK5Pn3gjjvU1LNGhaAh3MMQ0csuC+vwjRwZzpyJZIx76AVUf94ZPlxNPYv0X1pfq1eHAnDnnWHS9aFDoUWL1KlEGt3q1WEiubvugjPOgHvvVVPPKvUI6mPBAjj++FAELr88nDVr2TJ1KpFGN38+HHdcKAK/+EUYC6EikF3qEdTVc8+Fj0Vz54Z3R//+qROJRDF5MvTtG5abVFMvD+oRrMvSpWF46GGHhY9Ezz2nd4Zk0pIlYeDb4YeHi8Sef15NvVyoENTGPcwb1LlzGDR95pnw0kth+giRDHGHqqrQ1H/3Ozj77NDU9903dTJpKioENbnDY49B9+5w4omw+ebw9NPwv/8LrVqlTifSaNxh4kQ4+ugw+K1VK3jmGRg8GLbYInU6aUoqBNVWrAh/7PfaC3r0CCuL3XJL+Gh02GGp04k0muXLYciQ0NR79gwri916a2jqXbumTicplPfJ4s8/DytuT5gQDgN9/DHsvnv4SNS3r2bTksxYvBiefDIsJTl69NdNfciQ0NQ1+K28lVchcA8LxowfH/74T54MK1fCZpuF/nH//nDMMbpsUkpeflMfPz409VWrQlPv3j009e7d1dQliFoIzKwncBvQDLjb3W+s8bjlHj8WWAqc6+4vRQnz6KOh9c+eHW7vsUe4XLJnTzjkEH0kkswYMyYsFvPhh+H2HnvAz34WFo85+GA1dfm2aIXAzJoBdwLdgdnAi2Y22t1fz9usF9Ap93UAcFfu38bXrh0ccAD86lfhj3+7dlF+jEhq7drBgQeGP/w9e0LbtqkTSbGL2SPYH5jp7u8CmNlI4AQgvxCcANzr7g78w8y2NLMd3P2jRk+z115hwRiRjNtnHzV1qZ+Yo4baArPybs/O3VffbTCzfmY2xcymzJs3r9GDioiUs5iFoNBpKG/ANrj7QHevcPeKNm3aNEo4EREJYhaC2UD7vNvtgDkN2EZERCKKWQheBDqZWUczawmcAYyusc1o4BwLDgQWRTk/ICIitYp2stjdV5nZJcBEwvDRQe4+w8z65x4fAIwjDB2dSRg+el6sPCIiUljU6wjcfRzhj33+fQPyvnfgRzEziIjI2mmuIRGRMqdCICJS5iwcnSkdZjYPeD91jjraBpifOkQDlWr2Us0Nyp5KqWavb+6d3L3g+PuSKwSlxMymuHtF6hwNUarZSzU3KHsqpZq9MXPr0JCISJlTIRARKXMqBHENTB1gPZRq9lLNDcqeSqlmb7TcOkcgIlLm1CMQESlzKgQiImVOhaABzGyQmX1iZq/l3Xeqmc0wszVmVuuQLjPraWZvmdlMM7uyaRJ/4+evT/b3zOxVM5tmZlOaJvFXP7tQ7j+Y2Ztm9oqZVZrZlrU8txj3eV2zJ9vnuZ9fKPsNudzTzOwxM9uxlucW436va/aiaut5j11uZm5m29Ty3Ibtc3fXVz2/gMOAfYHX8u7bFdgF+BtQUcvzmgHvADsDLYHpQOdSyJ7b7j1gmyLa58cAzXPf3wTcVEL7fJ3ZU+/ztWTfIu/7HwMDSmi/rzN76v1eKHfu/vaESTzfL5Rtffa5egQN4O7PAAtr3PeGu7+1jqd+tXynu68AqpfvbDLrkT2pWnI/5u6rcjf/QVjPoqZi3ed1yZ5cLdkX593clAKLSVG8+70u2ZMqlDvnFuAKas/c4H2uQtC06rQ0ZxFz4DEzm2pm/VKHqeF8YHyB+0thn9eWHYp0n5vZf5nZLOBM4LoCmxTtfuK9kdIAAAaESURBVK9Ddiiy/W5mxwMfuvv0tWzW4H2uQtC06rQ0ZxE7xN33BXoBPzKzw1IHAjCzq4FVwLBCDxe4r2j2+TqyQ5Huc3e/2t3bE3JfUmCTot3vdcgORbTfzWwT4GpqL1pfbVrgvjrtcxWCplXSS3O6+5zcv58AlYSuaFJm9kPg+8CZnjtQWkPR7vM6ZC/KfV7DcOCUAvcX7X7PU1v2Ytvv/wZ0BKab2XuEffmSmW1fY7sG73MVgqZVl+U7i5KZbWpmm1d/TzjZ+a1RDU2cqSfwn8Dx7r60ls2Kcp/XJXsx7vNclk55N48H3iywWbHu93VmL7b97u6vuvu27t7B3TsQ/uDv6+4f19i04fs8xVnxUv8CRgAfAStz/yn/DpyU+345MBeYmNt2R2Bc3nOPBd4mnN2/ulSyE0YiTM99zWjq7LXknkk4Jjot9zWghPb5OrOn3udryf4w4Q/jK8AYoG0J7fd1Zk+93wvlrvH4e+RGDTXWPtcUEyIiZU6HhkREypwKgYhImVMhEBEpcyoEIiJlToVARKTMqRBIWTCz282sb437mpnZj8xso1S5RIqBCoGUJDM7t7YphAts2w1Y7u4jajz0J2CGuy+rw8/68zq2+bWZXV6XPAWeu6OZPdSQ5zZUip8pxat56gAi9WVmzYBzCRcGrfMSend/Gni6wP0/afRwDeBhOoM+DX2+mTVz99VN+TMlW9QjkCZjZleY2Y9z399iZk/mvj/KzO7LfX+XmU2xsFDOb/Ke+56ZXWdmk4G+QAUwLLdwyMa513g5t5jIIDPbMPe8G83s9dxiJH/M3bedhcVgpue+Di6Q9Twze9vMngYOybt/JzOblHu9SWb2nQLP/ZuZ3WRm/8y9Rtfc/c0sLEjzYu75F+Xu71DLIiQbmNn/5PbFWDMbZ2Z9CuyPU83swtzrTjezh3MTlWFmQ3KHxZ4zs3fznv/Vz8zl+mNu371iZpfm9mdlXpbuZjaqHv/dUkJUCKQpPQN0zX1fAWxmZi2AQ4Fnc/df7e4VwJ5ANzPbM+/5y9z9UHe/D5hCmKxtb8IMi0OA0919D0JP92Iz25owfcZu7r4n8Nvc69wOPO3uexEWAJmRH9LMdgB+QygA3YHOeQ//Gbg393rDcq9VSHN33x/4CfCr3H3/Dixy9y5AF+BCM+u4lv11MtAB2AO4ADioxuPV+2MkMMrdu+R+pzdyP6vaDoR9/H3gxgI/px9hUrN98n6vJ4FdzaxNbpvzgMFrySolTIVAmtJUYL/chF7LgecJBaErXxeC08zsJeBlYDe++Uf4/lpedxfg/9z97dzt/yWs8rQYWAbcbWYnA9WTux0J3AXg7qvdfVGN1zsA+Ju7z/OwwEf+zz2IMGslwFDCH9hCqj89TyX8MYcwedk5ZjYNeAFoDXT69lO/cijwoLuv8TDB2FM1Hs/PtbuZPWtmrxLm2d8t77Gq3Gu8DmxX4OccTZjraBWAuy/0MPfMUOAsC8toHkTtayZIidM5Amky7r7SwjS65wHPESb+OoIwze4buU/HlwNd3P1TMxsC5I/oWVLLSxeahx13X2Vm+wNHEWZivIRQBOoUdz23W577dzVfv88MuNTdJ+ZvaGYdanmNgr9Xnvz9MQQ40d2nm9m5wOEFstT2mkbh32MwYWK2ZYSCtKrANpIB6hFIU3uG8Mf+GUIvoD8wLfcJdAvCH7dFZrYdYVGQ2nwObJ77/k2gg5n9v9zts4GnzWwzoJW7jyMcotk79/gk4GL46vj4FjVe+wXgcDNrnTt0dWreY88RigqET96T6/ybh/VmL869Jmb2XQvTHNdmMnBK7lzBdnzzj3tNmwMf5V77zHpkAngM6G9mzXO5toavTijPAa4hFBrJKBUCaWrPEo5ZP+/ucwmfNp8F8LAM38uEY/aDgL+v5XWGAANyh1mM0Mt4MHdoZA0wgPDHcayZvUIYNfTT3HMvA47IbTuVbx5Gwd0/An5NOHT1BPBS3sM/Bs7LvebZudeqq7uB1wmLirwG/IWvewuFPpE/TJiGuHrbF4Cah7GqXZt7/HEKrw+wrlwfAK+Y2XTgB3mPDQNm5Q4rSUZpGmqRxMxsP+Bmd+9W4LHN3P0LM2sN/JOwhGLNBUliZvsz8LK739NUP1Oans4RiCRkZhWEk89X1rLJ2NzJ2pbADU1cBKYSDtX9vKl+pqShHoGISJnTOQIRkTKnQiAiUuZUCEREypwKgYhImVMhEBEpc/8frY4dqhz1/a8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "conf_dist(13,12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "conf_dist(14,12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "conf_dist(15,12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 200,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n",
      "D:\\Anaconda\\lib\\site-packages\\statsmodels\\stats\\power.py:300: ConvergenceWarning: \n",
      "Failed to converge on a solution.\n",
      "\n",
      "  warnings.warn(convergence_doc, ConvergenceWarning)\n"
     ]
    }
   ],
   "source": [
    " for i in range(1,501):\n",
    "        i =i*0.001\n",
    "        #size = (smp.ttest_power((smpl_mean-10)/np.std(2,ddof=1),i,alternative='larger'))\n",
    "        #size = (smp.TTestIndPower().solve_power(effect_size = (2)/np.std(2,ddof=1) , power=0.80,alpha=i))\n",
    "        size = smp.tt_ind_solve_power(effect_size=(4)/3,alpha=i,power=0.8,alternative = \"larger\")\n",
    "        size = int(size)\n",
    "        #sample = get_normal_sample(size,13,2)\n",
    "        #down = conf_int_one_sample(sample,i)\n",
    "        #samples_downs.append(down)\n",
    "        print(size)"
   ]
  }
 ],
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