Construct the log-likelihood function for the model logit[(x)] = + x with independent binomial outcomes of

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Construct the log-likelihood function for the model logit[π(x)] = α + βx with independent binomial outcomes of y0 successes in n1 trials at x = 0 and y1 successes in n1 trials at x = 1. Derive the likelihood equations, and show that β̂ is the sample log odds ratio.

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