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
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.
Value
the value of the Yule Q coefficient.
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.
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.