The Analysis of Contingency Tables with One Factor as The Response: Round Two
John Ashworth Nelder · Journal of the Royal Statistical Society Series D (The Statistician) · 2000
For contingency tables with one factor as a response, log-linear models can be used provided that a minimal model, which constrains the predicted sample sizes of the response factor to equal the actual sizes, is fitted first. Only models that contain this minimal term make inferential sense. For response factors with two levels the results from fitting such log-linear models are identical with those from the corresponding logistic regression. The correspondence is illustrated with two examples from recent literature, both of which have been previously misanalysed.