Question 1 (20 marks] Consider a 2 x 2 contingency table. Decide if the following statements are true or false. Justify

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Question 1 20 Marks Consider A 2 X 2 Contingency Table Decide If The Following Statements Are True Or False Justify 1 (46.57 KiB) Viewed 51 times

Question 1 (20 marks] Consider a 2 x 2 contingency table. Decide if the following statements are true or false. Justify your answers. (a) (5 marks] If the log-linear model log(mij) = Ho + ai + Bj, i, j = 1, 2, aj = B1 = 0 is a good fit for the table, than the two categorical variables X and Y are associated. (b) [5 marks]The odds ratio for the table is defined by u22 (c) (5 marks]The estimated expected cell counts for the saturated model equal the obser- vations. m1221 (d) (5 marks]Consider a product-binomial sampling for the table. Then testing the hypoth- esis of homogeneity is equivalent to testing the odds ratio is equal to 1.