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(b) Consider a 2x2 table for a prospective study. Let n,, ~ Binomial(n, 7, ) and let my ~ Binomial(n,4 , a, ), where my

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(b) Consider a 2x2 table for a prospective study. Let n,, ~ Binomial(n, 7, ) and let my ~ Binomial(n,4 , a, ), where my = P(Y = 1 | X = (), i=1,2. An estimator for w is * = ALL and similarly, an estimator for k, is "2 7, - Y'al . Assume n, and , are independent. Recall, in class, we used the delta method to find an approximation for the - A I.c., the variance for the odds of an event. Denote the odds ratio by J-*1 and let = I-K be an estimator for 8. Note that 1- 12 Cov ( =0. Use the delta method to find an approximation for var (in(0))

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