Question: Suppose that all µ ijk > 0. Let η ijk = log µ ijk , and consider model parameters with zero-sum constraints. a. For model

Suppose that all µijk> 0. Let ηijk= log µijk, and consider model parameters with zero-sum constraints.

a. For model (XY, XZ, YZ) with a 2 × 2 × 2 table, show that λ11XY = 1/4 log θ11(k).

b. For (XYZ) with a 2 × 2 × 2 table, show that

XYZ XYZ 11 lo п)/01к


Thus, λijkXYZ = 0 is equivalent to θ11(1) = θ11(2).

XYZ XYZ 11 lo )/01

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