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Multinomial Logistic Regression Models

Stat 544, Lecture 191 Multinomial LogisticRegression ModelsPolytomous Regression can beextended to handle responses that arepolytomous, >2 categories. (Note: The wordpolychotomousis sometimes used, but this word doesnot exist!) When analyzing a polytomous response,it s important to note whether the response isordinal(consisting of ordered categories) ornominal(consisting of unordered categories). Some types ofmodels are appropriate only for ordinal responses;other Models may be used whether the response isordinal or nominal. If the response is ordinal, we donot necessarily have to take the ordering into account,but it often helps if we do. Using the natural orderingcan lead to a simpler, more parsimonious model and increase power to detect relationships with 544, Lecture 192 If the response variable is polytomous and all thepotential predictors are discrete as well, we coulddescribe the multiway contingency table by aloglinear model .

sequence of binary models. In some cases, it makes sense to “factor” the response into a sequence of binary choices and model them with a sequence of ordinary logistic models. For example, consider the study of the effects of radiation exposure on mortality. The four-level response can be modeled in three stages: Population Alive Dead Non ...

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