For the student survey in Table 9.1, (a) analyze using GLMMs, and (b) compare results and interpretations to those with marginal models in Problem 11.2.

Data from Problem 11.2:

Refer to Table 9.1. Fit a marginal model to describe main effects of race, gender, and substance type (marijuana, alcohol, cigarettes) on whether a subject had used that substance. Summarize effects.

Table 9.1:

Alcohol, Cigarette, and Marijuana Use for High School Seniors Marijuana Use Race = White Female Race = Other Male Yes Male Female Alcohol Cigarette Yes Yes No Yes No No Use Use No Yes Yes 405 13 228 23 30 19 18 453 23 268 218 19 2 No 28 201 17 133 No Yes 1 17 1. 117 12 17 No