asbio (version 1.0-5)

anscombe: Anscobe's quartet

Description

A set of four bivariate datasets with the same conditional means, conditional variances, linear regressions, and correlations, but with dramatically different forms of association.

Usage

data(anscombe)

source

Anscombe, F. J. 1973. Graphs in statistical analysis. American Statistician 27 (1): 17-21.

Details

Anscombe (1973) used these datasets to demonstrate that summary statsitics are inadequate for describing association.

References

Anscombe, F. J. 1973. Graphs in statistical analysis. American Statistician 27 (1): 17-21.

Examples

dev.new(height=3.5)
par(mfrow=c(1,4),mar=c (0,0,2,3), oma = c(5, 4.2, 0, 0))
with(anscombe, plot(x1, y1, xlab = "", ylab = "", main = bquote(paste(italic(r),
"= ",.(round(cor(x1, y1),2)))))); abline(3,0.5) 
with(anscombe, plot(x2, y2, xlab = "", ylab = "",, main = bquote(paste(italic(r),
"= ",.(round(cor(x2, y2),2)))))); abline(3,0.5) 
with(anscombe, plot(x3, y3, xlab = "", ylab = "",, main = bquote(paste(italic(r),
"= ",.(round(cor(x3, y3),2)))))); abline(3,0.5) 
with(anscombe, plot(x4, y4, xlab = "", ylab = "",, main = bquote(paste(italic(r),
"= ",.(round(cor(x4, y4),2)))))); abline(3,0.5) 
mtext(expression(italic(y[1])),side=1, outer = TRUE, line = 3)
mtext(expression(italic(y[2])),side=2, outer = TRUE, line = 2.6)
mtext("(a)",side=3, at = -42, line = .5)
mtext("(b)",side=3, at = -26, line = .5)
mtext("(c)",side=3, at = -10.3, line = .5)
mtext("(d)",side=3, at = 5.5, line = .5)