For the substance use data in Table 7.8, consider loglinear model (AC, AM, CM, AG, AR, GM,
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For the substance use data in Table 7.8, consider loglinear model (AC, AM, CM, AG, AR, GM, GR).
a. Explain why the AM conditional odds ratio is unchanged by collapsing over race, but it is not unchanged by collapsing over gender.
b. Suppose we remove the GM term from the model. Construct the independence graph and show that {G, R} are separated from {C,M} by A. Explain why all conditional associations among A, C, and M are then identical to those in model (AC, AM, CM), collapsing over G and R.
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