Refer to Table 7.1 on high school students' use of alcohol, cigarettes, and marijuana. Consider the...

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Refer to Table 7.1 on high school students' use of alcohol, cigarettes, and marijuana. Consider the data as matched triplets. a. Construct the marginal distribution for each substance. Specify a marginal model that can compare them and explain how to interpret its parameters. State the hypothesis of marginal homogeneity in terms of model parameters. b. Specify a corresponding subject-specific model. Explain how parameter interpretation differs from the marginal model. c. Construct a data file to fit the marginal model. (Hint: You could mimic the Abortion data file, ignoring gender.) Use GEE methods to fit the model and to test the hypothesis of marginal homogeneity. Table 7.1 Table 7.1 Alcohol (A), cigarette (C), and marijuana (M) use for high school seniors. Alcohol Use Yes No Cigarette Use Yes No Yes No Marijuana Use Yes 911 44 3 2 No 538 456 43 279 Source: Thanks to Prof. Harry Khamis, Wright State University and United Health Services in Dayton for these data (the Substance data file at the text website). Refer to Table 7.1 on high school students' use of alcohol, cigarettes, and marijuana. Consider the data as matched triplets. a. Construct the marginal distribution for each substance. Specify a marginal model that can compare them and explain how to interpret its parameters. State the hypothesis of marginal homogeneity in terms of model parameters. b. Specify a corresponding subject-specific model. Explain how parameter interpretation differs from the marginal model. c. Construct a data file to fit the marginal model. (Hint: You could mimic the Abortion data file, ignoring gender.) Use GEE methods to fit the model and to test the hypothesis of marginal homogeneity. Table 7.1 Table 7.1 Alcohol (A), cigarette (C), and marijuana (M) use for high school seniors. Alcohol Use Yes No Cigarette Use Yes No Yes No Marijuana Use Yes 911 44 3 2 No 538 456 43 279 Source: Thanks to Prof. Harry Khamis, Wright State University and United Health Services in Dayton for these data (the Substance data file at the text website).

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