%0 Journal Article
%T On Expressing the Probabilities of Categorical Responses as Linear Functions of Covariates
%A Tejas A. Desai
%J Applied Mathematics
%P 1485-1489
%@ 2152-7393
%D 2013
%I Scientific Research Publishing
%R 10.4236/am.2013.411200
%X <p class=\"MsoNormal\">
	<span lang=\"EN-US\">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 ha</span><span lang=\"EN-US\">ve</span><span lang=\"EN-US\"> no empty cells, then the probabilities of responses can be
expressed as <i>linear</i> functions of the covariates. We demonstrate this for
both the dichotmous and polytomous dependent variables.</span>
</p>
%K Logistic Regression
%K Linear Regression
%K Maximum Likelihood Estimation
%K Least-Squares Estimation
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=38975