Question: Refer to the homogeneous linear-by-linear association model (9.10). a. Show that the likelihood equations are, for all i, j, and k, b. Show that residual

Refer to the homogeneous linear-by-linear association model (9.10).

a. Show that the likelihood equations are, for all i, j, and k,

b. Show that residual df = K(I €“ 1) (J €“ 1) €“ 1.

c. When I = J = 2, explain why it is equivalent to (XY, XZ, YZ).

d. Show how the last likelihood equation above changes for heterogeneous linear-by-linear XY association (9.11). Explain why, in each stratum, the fitted XY correlation equals the sample correlation.

+-pn- p, -njks h-- u,,mg+. p-n+k, ik

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