Discern the reasons that Simpson?s paradox occurs for Table 6.7. Table 6.7: Data Relating Admission to Gender

Discern the reasons that Simpson?s paradox occurs for Table 6.7.

Table 6.7:

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Data Relating Admission to Gender and Department for Model with No Gender Effect Females Males Std. Res Females Males Std. Res No Yes 81 No Yes No (Fem, Yes) 10 7 8 Dept Yes (Fem, Yes) Dept Yes ling anth 32 21 -0.76 21 1.37 41 2.87 math 25 18 31 37 1.29 astr phil 3 0 9 6 phys poli 12 43 34 110 -0.27 1.34 chem 0 clas -1.07 10 11 53 1.32 4 25 10 -0.63 25 34 39 49 -0.23 comm 52 149 12 comp engl 1.16 123 41 -2.27 рвус 35 100 30 112 0.94 reli 2 1.26 1 11 3 15 11 2.17 29 13 0.14 geog roma 0.30 geol germ 17 -0.26 soci 16 33 7 17 36 1.89 23 14 -0.01 stat 19 zool 62 54 -1.76 hist 21 -0.18 10 lati 26 25 16 1.65