A cumulative link model for an I × J contingency table with a qualitative predictor is a. Show that the residual df=( I -1)( J -2). b. When this model holds, show that independence corresponds to µ 1...

A cumulative link model for anI×Jcontingency table with a qualitative predictor is

a.Show that the residual df=(I-1)(J-2).

b.When this model holds, show that independence corresponds to µ₁=·· ··=µ_I and the test of independence has df=I-1.

c.When this model holds, show that the rows are stochastically ordered onY.