2.15 Table 2.11 refers to applicants to graduate school at the University of California at Berkeley, for
Question:
2.15 Table 2.11 refers to applicants to graduate school at the University of California at Berkeley, for fall 1973. It presents admissions decisions by gender of applicant for Table 2.11 Data for Exercise 2.15 on Graduate Admissions Whether Admitted Male Female Department Yes No Yes No A
512 313 89 19 B
353 207 17 8
C 120 205 202 391 D
138 279 131 244 E
53 138 94 299 F
22 351 24 317 Total 1198 1493 557 1278 Source: Data from P. Bickel et al., Science 187: 398-403, 1975.
DESCRIBING CONTINGENCY TABLES the six largest graduate departments. Denote the three variables by A = whether admitted, G = gender, and D = department. Find the sample AG conditional odds ratios and the marginal odds ratio. Interpret, and explain why they give such different indications of the AG association.
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