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

a. For model (XY, XZ, YZ) with a 2 × 2 × 2 table, show that λ₁₁^XY = 1/4 log θ_11(k).

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

Thus, λ_ijk^XYZ = 0 is equivalent to θ₁₁₍₁₎ = θ₁₁₍₂₎.

Transcribed Image Text:

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