Transcription of Multinomial Response Models - Princeton University
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Multinomial Response Models - Princeton University
Chapter 6 Multinomial ResponseModelsWe now turn our attention to regression Models for the analysis of categoricaldependent variables with more than two Response categories. Several ofthe Models that we will study may be considered generalizations of logisticregression analysis to polychotomous data. We first consider Models thatmay be used with purely qualitative ornominaldata, and then move on tomodels forordinaldata, where the Response categories are The Nature of Multinomial DataLet me start by introducing a simple dataset that will be used to illustratethe Multinomial distribution and Multinomial Response The Contraceptive Use DataTable was reconstructed from weighted percents found in Table ofthe final report of the Demographic and Health Survey conducted in ElSalvador in 1985 (FESAL-1985). The table shows 3165 currently marriedwomen classified by age, grouped in five-year intervals, and current use ofcontraception, classified as sterilization, other methods, and no fairly standard approach to the analysis of data of this type couldtreat the two variables as responses and proceed to investigate the questionof independence.
the models that we will study may be considered generalizations of logistic regression analysis to polychotomous data. We rst consider models that may be used with purely qualitative or nominal data, and then move on to models for ordinal data, where the response categories are ordered. 6.1 The Nature of Multinomial Data
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