Chapter 14 - Binary and Multinomial Logistic Regression Models

Abstract

This chapter presents the binary and multinomial logistic regression models, establishing the circumstances based upon which the binary and multinomial regression models can be used. The objective is to estimate an occurrence probability model of an event based on the maximum likelihood method. The results of statistics tests pertinent to the logistic models are evaluated. Confidence intervals of the model parameters for the purpose of prediction are also elaborated, as well as the analysis of sensitivity and interpretation of the sensitivity curve, the ROC curve and the cutoff concepts, overall model efficiency, sensitivity, and specificity. The binary and multinomial regression models are also prepared in Microsoft Office Excel®, Stata Statistical Software®, and IBM SPSS Statistics Software® and their results are interpreted.