Question: Suppose yi has a Poisson distribution with g(????i) = ????0 + ????1xi, where xi = 1 for i = 1,, nA from group A and

Suppose yi has a Poisson distribution with g(????i) = ????0 + ????1xi, where xi = 1 for i = 1,…, nA from group A and xi = 0 for i = nA + 1, ..., nA + nB from group B, and with all observations being independent. Show that for the log-link function, the GLM likelihood equations imply that the fitted means ̂????A and ̂????B equal the sample means.

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