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Charles L. Odoroff, A Comparison of Minimum Logit Chi-Square Estimation and Maximum Likelihood Estimation in 2|times 2|times 2 and 3|times 2|times 2 Contingency Tables: Tests for Interaction, Journal of the American Statistical Association, Vol. 65, No. 332 (Dec., 1970), pp. 1617-1631
Charles L. Odoroff (Tue,) studied this question.