M. E. Stokes, C. S. Davis and G. G. Koch, “Categorical Data Analysis Using the SAS System,” SAS Institute and Wiley, Cary, 2001.
has been cited by the following article:
TITLE: On Expressing the Probabilities of Categorical Responses as Linear Functions of Covariates
AUTHORS: Tejas A. Desai
KEYWORDS: Logistic Regression; Linear Regression; Maximum Likelihood Estimation; Least-Squares Estimation
JOURNAL NAME: Applied Mathematics, Vol.4 No.11, November 5, 2013
ABSTRACT: Logistic regression is usually used to model probabilities of categorical responses as functions of covariates. However, the link connecting the probabilities to the covariates is non-linear. We show in this paper that when the cross-classification of all the covariates and the dependent variable have no empty cells, then the probabilities of responses can be expressed as linear functions of the covariates. We demonstrate this for both the dichotmous and polytomous dependent variables.