Consider the loglinear model with symbol (XZ, YZ). a. For fixed k, show that { ijk }

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Consider the loglinear model with symbol (XZ, YZ).

a. For fixed k, show that {µ̂ijk} equal the fitted values for testing independence between X and Y within level k of Z.

b. Show that the Pearson and likelihood-ratio statistics for testing this model’s fit have form X2 = ∑X2k, where X2k, tests independence between X and Y at level k of Z.

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