Question: 8.3. Consider the conditional symmetry (CS) model (8.9). (a) Show that this model has the loglinear representation logMiy = Xmjn(;j),max(i,7) + l{i < j), where

8.3. Consider the conditional symmetry (CS) model (8.9).

(a) Show that this model has the loglinear representation logMiy = Xmjn(;j),max(i,7·) + ßl{i < j), where /(·) is an indicator (see also Bishop et al. 1975, pp. 285-286).

(b) Show that conditional symmetry + marginal homogeneity = symmetry.
Explain why G2(S | CS) = G2(S) - G2(CS) tests marginal homogeneity (df = 1). When the model holds, G2(S | CS) is more powerful asymptotically than G2(S | QS). Why?

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