Suppose that Yi is Poisson with g(μi)= α + βxi,

Suppose that Yi is Poisson with g(μi)= α + βxi, where xi = 1 for i = 1, …, nA from group A and xi = 0 for i = nA + 1, , nA + nB from group B. Show that for any link function g, the likelihood equations (4.22) imply that fitted means  and  equal the sample means.


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