PATH ANALYSIS WITH LOGISTIC REGRESSION MODELS : EFFECT ANALYSIS OF FULLY RECURSIVE CAUSAL SYSTEMS OF CATEGORICAL VARIABLES
Department of Medical Information Analysis, Faculty of Medicine, Oita Medical University
Department of Applied Mathematics, Faculty of Engineering, Kobe University
Department of Probability and Statistics, Peking University
Journal of the Japan Statistical Society,
Categorical variable | Direct effect | Indirect effect | Log odds ratio | Logistic regression model | Recursive causal system | Total effect
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 exampleis reanalysed to illustrate the present approach.