Yule coefficient of correlation

Description

The Yule coefficient of is a correlation coefficient applied to dichotomous data. Given a two x two table of counts | a | b | R1 | | c | d | R1 | |—|—|—-| |C1 | C2| n | or a vector c(a,b,c,d) of frequencies.

Usage

1
Yule(x, Y = FALSE)

Arguments

x

a 1 x 4 vector or a matrix 2 x 2 of frequencies.

Y

if Y is true return Yule's Y coefficient of colligation.

Details

The coefficient of Yule is calculated from (ad - bc)/(ad + bc). This is the number of pairs in agreement (ad) - the number in disagreement (bc) over the total number of paired observations.

Value

the value of the Yule Q coefficient.

References

Yule, G.U. (1912). On the methods of measuring the association between two attributes. Journal of the Royal Statistical Society, 75, 579-652.

Warrens, Matthijs (2008), On Association Coefficients for 2x2 Tables and Properties That Do Not Depend on the Marginal Distributions. Psychometrika, 73, 777-789.

Examples

1
2
#x <- c(12,8,16,9)
#Yule(x)

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