Please give a detailed answer for the below problem with easytoread handwriting. 6.5 Refer to Problem 2.11 a. Fit the model with G and D main effects. Using it, estimate the AG conditional odds ratio. Compare to the marginal odds ratio, and explain why they are so different. Test its goodness of fit. b. Fit the model of no G effect, given the department. Use X 2 to test fit. Obtain residuals, and interpret the lack of t. (Each department has a single nonredundant standardized Pearson residual. They satisfy Zip-f2 = X 2, their squares giving six df = 1 components.) c. Fit the two models excluding department A. Again consider lack of fit, and interpret. 2.12 Table 2.10 refers to applicants to graduate school at the University of California at Berkeley. 501' [all 1973. It presents admissions decisions by gender of applicant for the six largest graduate departments. De- note the three variables by A = whether admitted. G = gender, and The reference of problem212 and the table are given below. D = department. Find the sample AG conditional odds ratios and the marginal odds ratio. Interpret. and explain why they give such dierent indications of the AG association. (1 J Tun: 3.10 Data loerlIlen at: Whether Admitted Male Female Department 'l'es No Yes No A 512 313 as I9 B 353 207 1? B c 120 205 m 391 D 138 279 131 244 E 53 I38 9-1 299 F 22 351 24 3|? Total use 1493 55? 12:3 Seams: Data from Freedom :1 II. \"918. pl\" See also 1'. Mel e! .31. 5cm \"1: M [[015]. kI