File:Simpsons-vector.svg

Uploaded by JoKalliauer
Upload date 2018-06-10T18:01:17Z
MIME type image/svg+xml
Dimensions 430 × 430 px
File size 5.1 KB

Summary

Description Illustration of Simpson's paradox applied to vectors
Date
Source Own work
Author Schutz
SVG development
InfoField
 The SVG code is valid.
 This diagram was created with R.
Source code
InfoField

R code

success1 <- c( 8, 1)
  total1   <- c(10,10)
  success2 <- c( 6, 3)
  total2   <- c( 6,17)
  
  printaddvec <- function( vec1, vec2, ...) {
    segments( vec1[1], vec1[2], vec1[1]+vec2[1], vec1[2]+vec2[2], lty=3, ... )
    segments( vec2[1], vec2[2], vec1[1]+vec2[1], vec1[2]+vec2[2], lty=3, ... )
  
    arrows(0,0, vec1[1], vec1[2], angle=20, code=2, lwd=2, ...)
    arrows(0,0, vec2[1], vec2[2], angle=20, code=2, lwd=2, ...)
    arrows(0,0, vec1[1]+vec2[1], vec1[2]+vec2[2], angle=20, code=2,
           lwd=2, lty=2, ...)
  
    # Redraw the end of the arrows
    arrows(0.99*(vec1[1]+vec2[1]), 0.99*(vec1[2]+vec2[2]),
           vec1[1]+vec2[1], vec1[2]+vec2[2], code=2, lwd=2, angle=20, ...)
  }
  
  postscript("simpsons-vector.eps", paper="special", height=5, width=5,
             horizontal=F)
  par(xaxs="i")
  par(yaxs="i")
  par(cex=1.2)
  par(las=1)
  par(mgp=c(2.5 ,1 ,0))
  par(mar=c(4.1, 4.1, 0.6, 0.6))
  
  plot(0, type="n", xlim=c(0,25), ylim=c(0,10), pty="s", xlab="Total", ylab="Successes")
  
  printaddvec( c(total1[1], success1[1]), c(total1[2], success1[2]), col="blue")
  printaddvec( c(total2[1], success2[1]), c(total2[2], success2[2]), col="red")
  
  text(total1[2], success1[2]+0.0, "1", pos=4, col="blue", cex=1.2)
  text(total2[2], success2[2]+0.0, "1", pos=4, col="red",  cex=1.2)
  text(total1[1]+0.0, success1[1], "2", pos=3, col="blue", cex=1.2)
  text(total2[1]+0.0, success2[1], "2", pos=3, col="red",  cex=1.2)
  text(sum(total1), sum(success1)+0.0, "+", pos=3, col="blue", cex=1.2)
  text(sum(total2), sum(success2)+0.0, "+", pos=3, col="red", cex=1.2)
  
  dev.off()

The graphic was created by User:Schutz for Wikipedia on 26 August 2007, using the R statistical project. The program that generated and exported the graphic is given above; the uploaded version was generated by converting the EPS file generated by R to SVG format using pstoedit command. The layout was slightly modified using Inkscape before upload.

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported, 2.5 Generic, 2.0 Generic and 1.0 Generic license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.

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26 August 2007

Category:CC-BY-SA-3.0,2.5,2.0,1.0 Category:Files by User:Schutz Category:GFDL Category:License migration redundant Category:Pictures showing a librsvg bug (overwritten with a workaround) Category:Self-published work Category:Simpson's paradox Category:Valid SVG created with R code