Table 7.23 refers to applicants to graduate school at the University of California, Berkeley for the fall 1973 session. Admissions decisions are presented by gender of applicant, for the six largest graduate departments. Denote the three variables by A = whether admitted, G = gender, and D = department. Fit loglinear model (AD, AG, DG).
a. Report the estimated AG conditional odds ratio, and compare it with the AG marginal odds ratio. Why are they so different?
b. Report G2 and df values, and comment on the quality of fit. Conduct a residual analysis. Describe the lack of fit.
c. Deleting the data for Department 1, re-fit the model. Interpret. d. Deleting the data for Department 1 and treating A as the response variable, fit an equivalent logistic model for model (AD, AG, DG) in (c). Show how to use each model to obtain an odds ratio estimate of the effect of G on A,
