Keywords: Correlation examples2.svg en redesign File Correlation_examples png using vector graphics SVG file own original uploader was Imagecreator DenisBoigelot original uploader was Imagecreator 2011-05-09 Released into the public domain by the authors CovrarianceCorrelation svg File Correlation_examples png <pre> Title An example of the correlation of x and y for various distributions of x y pairs Tags Mathematics; Statistics; Correlation Author Denis Boigelot Packets needed mvtnorm rmvnorm RSVGTipsDevice devSVGTips How to use output This is an translated version in R of an Matematica 6 code by Imagecreator library mvtnorm library RSVGTipsDevice MyPlot <- function xy xlim c -4 4 ylim c -4 4 eps 1e-15 title round cor xy 1 xy 2 1 if sd xy 2 < eps title corr coeff is undefined plot xy main title xlab ylab col darkblue pch 16 cex 0 2 xaxt n yaxt n bty n xlim xlim ylim ylim MvNormal <- function n 1000 cor 0 8 for i in cor sd matrix c 1 i i 1 ncol 2 x rmvnorm n c 0 0 sd MyPlot x rotation <- function t X return X matrix c cos t sin t -sin t cos t ncol 2 RotNormal <- function n 1000 t pi/2 sd matrix c 1 1 1 1 ncol 2 x rmvnorm n c 0 0 sd for i in t MyPlot rotation i x Others <- function n 1000 x runif n -1 1 y 4 x 2 - 1/2 2 + runif n -1 1 /3 MyPlot cbind x y xlim c -1 1 ylim c -1/3 1+1/3 y runif n -1 1 xy rotation -pi/8 cbind x y lim sqrt 2+sqrt 2 / sqrt 2 MyPlot xy xlim c -lim lim ylim c -lim lim xy rotation -pi/8 xy MyPlot xy xlim c -sqrt 2 sqrt 2 ylim c -sqrt 2 sqrt 2 y 2 x 2 + runif n -1 1 MyPlot cbind x y xlim c -1 1 ylim c -1 3 y x 2 + runif n 0 1/2 sample seq -1 1 2 n replace TRUE MyPlot cbind x y xlim c -1 5 1 5 ylim c -1 5 1 5 y cos x pi + rnorm n 0 1/8 x sin x pi + rnorm n 0 1/8 MyPlot cbind x y xlim c -1 5 1 5 ylim c -1 5 1 5 xy1 rmvnorm n/4 c 3 3 xy2 rmvnorm n/4 c -3 3 xy3 rmvnorm n/4 c -3 -3 xy4 rmvnorm n/4 c 3 -3 MyPlot rbind xy1 xy2 xy3 xy4 xlim c -3-4 3+4 ylim c -3-4 3+4 output <- function devSVGTips width 7 height 3 2 remove first and last line for no svg exporting par mfrow c 3 7 oma c 0 0 0 0 mar c 2 2 2 0 MvNormal 800 c 1 0 0 8 0 4 0 0 -0 4 -0 8 -1 0 ; RotNormal 200 c 0 pi/12 pi/6 pi/4 pi/2-pi/6 pi/2-pi/12 pi/2 ; Others 800 dev off remove first and last line for no svg exporting </pre> Cc-zero Correlation |