Schoolboys were classified according to their clothing and to their teachers rating of "dullness" (lack of intelligence), in a 5 x 7 table originally from Gilby (1911). Anscombe (1981) presents a slightly collapsed 4 x 6 table, used here, where the last two categories of clothing were pooled as were the first two categories of dullness due to small counts.
Both Dullnes
and Clothing
are ordered categories, so models and methods
that examine their association in terms of ordinal categories are profitable.
data(Gilby)
A 2-dimensional array resulting from cross-tabulating 2 variables for 1725 observations. The variable names and their levels are:
No | Name | Levels |
1 | Dullness |
"Ment. defective", "Slow", "Slow Intell", "Fairly Intell", "Capable", "V.Able" |
2 | Clothing |
"V.Well clad", "Well clad", "Passable", "Insufficient" |
Gilby, W. H. (1911). On the significance of the teacher's appreciation of general intelligence. Biometrika, 8, 93-108 (esp. p. 94). [Quoted by Kendall (1943,..., 1953) Table 13.1, p 320.]
# NOT RUN {
data(Gilby)
mosaic(Gilby, shade=TRUE)
# correspondence analysis to see relations among categories
if(require(ca)){
ca(Gilby)
plot(ca(Gilby))
title(xlab="Dimension 1", ylab="Dimension 2")
}
# }
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