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Suppose that we have k 2 × c contingency tables having c independent binomial populations b(n:ij:, p:ij:). It is proved that the likelihood equation for the parameters of the logit model for p:ij: has the unique solution, if it is “consistent”. The unique solution attains the true maximum of the likelihood and the existence of the solution is provided by the iterative scaling method due to Deming and Stephan (1940) and Ireland and Kullback (1968), The methods of proof are based on Darroch and Ratcliff (1972).
Nariaki Sugiura (Tue,) studied this question.