Construct the log likelihood function for the model logit (x) x with independent binomial outcomes of y 0 successes in n 1 trials at x 0 and y 1 successes in n 1 trials at x 1 Derive the likelihood equations, and show that is the sample log odds ratio

Question: Construct the log-likelihood function for the model logit[(x)] = + x with independent binomial outcomes of y 0 successes in n 1 trials at

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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