J. Japan Statist. Soc., Vol. 31 (No. 1), pp. 1-14, 2001

Path Analysis with Logistic Regression Models: Effect Analysis of Fully Recursive Causal Systems of Categorical Variables

Nobuoki Eshima, Minoru Tabata and Geng Zhi

Abstract. This paper discusses path analysis of categorical variables with logistic regression models. The total, direct and indirect effects in fully recursive causal systems are considered by using model parameters. These effects can be explained in terms of log odds ratios, uncertainty differences, and an inner product of explanatory variables and a response variable. A study on food choice of alligators as a numerical example is reanalysed to illustrate the present approach.

Key words and phrases: Categorical variable; Direct effect; Indirect effect; Log odds ratio; Logistic regression model; Recursive causal system; Total effect.

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