From 9dbb499a93f45c1730ea057ddf6353f4e9d2d190 Mon Sep 17 00:00:00 2001 From: ChristianGoueguel Date: Sat, 4 Jan 2025 05:24:38 -0500 Subject: [PATCH] Update: Refined PCA scores scatterplot --- HotellingEllipse.Rproj | 1 + README.Rmd | 33 +++++++++++-- README.md | 45 ++++++++++++------ man/figures/README-unnamed-chunk-16-1.png | Bin 211964 -> 169062 bytes man/figures/README-unnamed-chunk-17-1.png | Bin 144212 -> 213141 bytes .../README-unnamed-chunk-22-1.-rgl.png | Bin 0 -> 43739 bytes man/figures/README-unnamed-chunk-25-1.png | Bin 0 -> 127195 bytes 7 files changed, 60 insertions(+), 19 deletions(-) create mode 100644 man/figures/README-unnamed-chunk-22-1.-rgl.png create mode 100644 man/figures/README-unnamed-chunk-25-1.png diff --git a/HotellingEllipse.Rproj b/HotellingEllipse.Rproj index 69fafd4..57d17ae 100644 --- a/HotellingEllipse.Rproj +++ b/HotellingEllipse.Rproj @@ -1,4 +1,5 @@ Version: 1.0 +ProjectId: 7d488f18-7007-4b1f-9fe4-2402468d956e RestoreWorkspace: No SaveWorkspace: No diff --git a/README.Rmd b/README.Rmd index 3d0e68e..e118e92 100644 --- a/README.Rmd +++ b/README.Rmd @@ -85,6 +85,7 @@ devtools::load_all() ```{r message=FALSE, warning=FALSE, include=FALSE} library(FactoMineR) +library(glue) library(dplyr) library(purrr) library(tibble) @@ -177,6 +178,12 @@ str(coord_2PCs_99) Hotelling ellipse. Points inside the two elliptical regions are within the 99% and 95% confidence intervals for the Hotelling’s T-squared. +```{r} +t1 <- round(as.numeric(pca_mod$eig[1,2]), 2) +t2 <- round(as.numeric(pca_mod$eig[2,2]), 2) +t3 <- round(as.numeric(pca_mod$eig[3,2]), 2) +``` + ```{r message=FALSE, warning=FALSE} pca_scores %>% ggplot(aes(x = Dim.1, y = Dim.2)) + @@ -186,8 +193,16 @@ pca_scores %>% scale_fill_viridis_c(option = "viridis") + geom_hline(yintercept = 0, linetype = "solid", color = "black", linewidth = .2) + geom_vline(xintercept = 0, linetype = "solid", color = "black", linewidth = .2) + - labs(title = "Scatterplot of PCA scores", subtitle = "PC1 vs. PC2", x = "PC1", y = "PC2", fill = "T2", caption = "Figure 1: Hotelling’s T2 ellipse obtained\n using the ellipseParam function") + - theme_grey() + labs(title = "Scatterplot of PCA scores", subtitle = "PC1 vs. PC2", x = glue("PC1 [{t1}%]"), y = glue("PC2 [{t2}%]"), fill = "T2", caption = "Figure 1: Hotelling’s T2 ellipse obtained\n using the ellipseParam function") + + theme_grey() + + theme( + aspect.ratio = .7, + panel.grid = element_blank(), + panel.background = element_rect( + colour = "black", + linewidth = .3 + ) + ) ``` Or in the PC1-PC3 subspace at the confidence intervals set at 99, 95 and @@ -202,8 +217,16 @@ ggplot() + scale_fill_viridis_c(option = "viridis") + geom_hline(yintercept = 0, linetype = "solid", color = "black", linewidth = .2) + geom_vline(xintercept = 0, linetype = "solid", color = "black", linewidth = .2) + - labs(title = "Scatterplot of PCA scores", subtitle = "PC1 vs. PC3", x = "PC1", y = "PC3", fill = "T2", caption = "Figure 2: Hotelling’s T2 ellipse obtained\n using the ellipseCoord function") + - theme_grey() + labs(title = "Scatterplot of PCA scores", subtitle = "PC1 vs. PC3", x = glue("PC1 [{t1}%]"), y = glue("PC3 [{t3}%]"), fill = "T2", caption = "Figure 2: Hotelling’s T2 ellipse obtained\n using the ellipseCoord function") + + theme_grey() + + theme( + aspect.ratio = .7, + panel.grid = element_blank(), + panel.background = element_rect( + colour = "black", + linewidth = .3 + ) + ) ``` @@ -285,7 +308,7 @@ tibble( ) %>% ggplot() + geom_point(aes(x = obs, y = T2, fill = T2), shape = 21, size = 3, color = "black") + - geom_segment(aes(x = obs, y = T2, xend = obs, yend = 0), size = .5) + + geom_segment(aes(x = obs, y = T2, xend = obs, yend = 0), linewidth = .5) + scale_fill_gradient(low = "black", high = "red", guide = "none") + geom_hline(yintercept = pluck(df, "cutoff.99pct"), linetype = "dashed", color = "darkred", linewidth = .5) + geom_hline(yintercept = pluck(df, "cutoff.95pct"), linetype = "dashed", color = "darkblue", linewidth = .5) + diff --git a/README.md b/README.md index 2dd70d5..34f6bf0 100644 --- a/README.md +++ b/README.md @@ -184,6 +184,12 @@ str(coord_2PCs_99) Hotelling ellipse. Points inside the two elliptical regions are within the 99% and 95% confidence intervals for the Hotelling’s T-squared. +``` r +t1 <- round(as.numeric(pca_mod$eig[1,2]), 2) +t2 <- round(as.numeric(pca_mod$eig[2,2]), 2) +t3 <- round(as.numeric(pca_mod$eig[3,2]), 2) +``` + ``` r pca_scores %>% ggplot(aes(x = Dim.1, y = Dim.2)) + @@ -193,11 +199,19 @@ pca_scores %>% scale_fill_viridis_c(option = "viridis") + geom_hline(yintercept = 0, linetype = "solid", color = "black", linewidth = .2) + geom_vline(xintercept = 0, linetype = "solid", color = "black", linewidth = .2) + - labs(title = "Scatterplot of PCA scores", subtitle = "PC1 vs. PC2", x = "PC1", y = "PC2", fill = "T2", caption = "Figure 1: Hotelling’s T2 ellipse obtained\n using the ellipseParam function") + - theme_grey() + labs(title = "Scatterplot of PCA scores", subtitle = "PC1 vs. PC2", x = glue("PC1 [{t1}%]"), y = glue("PC2 [{t2}%]"), fill = "T2", caption = "Figure 1: Hotelling’s T2 ellipse obtained\n using the ellipseParam function") + + theme_grey() + + theme( + aspect.ratio = .7, + panel.grid = element_blank(), + panel.background = element_rect( + colour = "black", + linewidth = .3 + ) + ) ``` - + Or in the PC1-PC3 subspace at the confidence intervals set at 99, 95 and 90%. @@ -211,11 +225,19 @@ ggplot() + scale_fill_viridis_c(option = "viridis") + geom_hline(yintercept = 0, linetype = "solid", color = "black", linewidth = .2) + geom_vline(xintercept = 0, linetype = "solid", color = "black", linewidth = .2) + - labs(title = "Scatterplot of PCA scores", subtitle = "PC1 vs. PC3", x = "PC1", y = "PC3", fill = "T2", caption = "Figure 2: Hotelling’s T2 ellipse obtained\n using the ellipseCoord function") + - theme_grey() + labs(title = "Scatterplot of PCA scores", subtitle = "PC1 vs. PC3", x = glue("PC1 [{t1}%]"), y = glue("PC3 [{t3}%]"), fill = "T2", caption = "Figure 2: Hotelling’s T2 ellipse obtained\n using the ellipseCoord function") + + theme_grey() + + theme( + aspect.ratio = .7, + panel.grid = element_blank(), + panel.background = element_rect( + colour = "black", + linewidth = .3 + ) + ) ``` - + **Note 1: Hotelling’s T-squared Ellipsoid - Visualizing Multivariate Data in 3D Space.** @@ -285,7 +307,7 @@ rgl::bgplot3d({ rgl::view3d(theta = 30, phi = 25, zoom = .8) ``` - + **Note 2: Analysis of Hotelling’s T-squared Using Multiple Components.** @@ -323,7 +345,7 @@ tibble( ) %>% ggplot() + geom_point(aes(x = obs, y = T2, fill = T2), shape = 21, size = 3, color = "black") + - geom_segment(aes(x = obs, y = T2, xend = obs, yend = 0), size = .5) + + geom_segment(aes(x = obs, y = T2, xend = obs, yend = 0), linewidth = .5) + scale_fill_gradient(low = "black", high = "red", guide = "none") + geom_hline(yintercept = pluck(df, "cutoff.99pct"), linetype = "dashed", color = "darkred", linewidth = .5) + geom_hline(yintercept = pluck(df, "cutoff.95pct"), linetype = "dashed", color = "darkblue", linewidth = .5) + @@ -331,11 +353,6 @@ tibble( annotate("text", x = 80, y = 9, label = "95% limit", color = "darkblue") + labs(x = "Observations", y = "Hotelling’s T-squared (4 PCs)", fill = "T2 stats", caption = "Figure 4: Hotelling’s T-squared vs. Observations") + theme_bw() -#> Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0. -#> ℹ Please use `linewidth` instead. -#> This warning is displayed once every 8 hours. -#> Call `lifecycle::last_lifecycle_warnings()` to see where this warning was -#> generated. ``` - + diff --git a/man/figures/README-unnamed-chunk-16-1.png b/man/figures/README-unnamed-chunk-16-1.png index 24af01fce4a25e14dd6bd9fb5409a2e865a46329..db86e1a1f8978125d7b9617e5508daa2d9cbc76c 100644 GIT binary patch literal 169062 zcmeFZWmuG3`!+rxqX>#9rJ%r8K|)Y+KpI4(8)QhOq!Adpu>c9_4(aY1Km-+#knZjn z8tHo1&EC2npS}P8->3J(dmO(HdT@wy&$`#T>O8OWTHbOpVi)nq@nA66Me)ZE6<{#9 zAPjcq6Yg2?FFy>r24FB80wWO-ITH~v5eribD@Dtvy82@J=K5Afx(Z^#Fc_DgpR(rj z>&nFZ(G^9Ex4(OJr=|uG9CL&en<{j?9GpMaFESgx8*ExE6!>jvB-V(QZR#-Dh@PKV 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