File:Simpson's paradox continuous.svg

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Original file(SVG file, nominally 390 × 260 pixels, file size: 18 KB)

Captions

Captions

Simpson's paradox for quantitative data: a positive trend appears for two separate groups, whereas a negative trend appears when the groups are combined.
 
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Summary[edit]

Description
English: Illustration of the quantitative version of en:Simpson's paradox: a positive trend appears for two separate groups (blue and red), whereas a negative trend (black, dashed) appears when the groups are combined.
Date
Source Own work
Author Schutz

Example of the quantitative version of w:Simpson's paradox.

The graphic was created by User:Schutz for Wikipedia on 14 June 2007, using the R statistical project. The program that generated and exported the graphic is given below; the uploaded version was generated slightly differently to workaround a bug during the PS to SVG conversion with pstoedit command. The layout was slightly modified using Inkscape before upload.

 
  x1 <- c(1,2,3,4)
  y1 <- x1 + 5
  
  x2 <- x1 + 7
  y2 <- x2 - 7
  
  x <- c(x1,x2)
  y <- c(y1,y2)
  
  postscript("simpson.eps", paper="special", width=4.5, height=3)
  
  par(las=1)
  par(mar=c(3,3,0.5,0.5))
  par(mgp=c(2,1,0))
  
  plot(x,y, cex=2, pch=21,
       col=rep(c("blue", "red"), each=4), bg=rep(c("lightblue", "pink"), each=4),
       xlim=range(x)+c(-2,2), ylim=range(y)+c(-2,2))
  abline(lm(y1 ~ x1), col="blue", lwd=2)
  abline(lm(y2 ~ x2), col="red", lwd=2)
  abline(lm(y  ~ x), lwd=2, lty=2)
  
  dev.off()
  
 
This W3C-unspecified chart was created with R.

Licensing[edit]

Public domain This work has been released into the public domain by its author, I, Schutz. This applies worldwide.
In some countries this may not be legally possible; if so:
I, Schutz grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
 
This W3C-unspecified chart was created with R.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current23:15, 13 June 2007Thumbnail for version as of 23:15, 13 June 2007390 × 260 (18 KB)Schutz (talk | contribs){{Information |Description=Illustration of the continuous version of Simpson's paradox |Source=self-made |Date=14 June 2007 |Author=Schutz }} Example of the continuous version of w:Simpson's paradox. The graphic was created by [[User

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