Crossings Interaction of Factors
Given two ordered factors in a square, n x n frequency table, Crossings
creates an n-1 column matrix corresponding to different degrees of difficulty
in crossing from one level to the next, as described by Goodman (1972).
Crossings(...)
... |
Two factors |
For two factors of n
levels, returns a binary indicator matrix
of n*n
rows and n-1
columns.
Michael Friendly and Heather Turner
Goodman, L. (1972). Some multiplicative models for the analysis of cross-classified data. In: Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, Berkeley, CA: University of California Press, pp. 649-696.
data(Hauser79) # display table structable(~Father+Son, data=Hauser79) hauser.indep <- gnm(Freq ~ Father + Son, data=Hauser79, family=poisson) hauser.CR <- update(hauser.indep, ~ . + Crossings(Father,Son)) LRstats(hauser.CR) hauser.CRdiag <- update(hauser.indep, ~ . + Crossings(Father,Son) + Diag(Father,Son)) LRstats(hauser.CRdiag)
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