Linear possibility model with interactions for ordered categorical data.

Abstract EN

The concern of this research is focussed with extending the idea of the linear possibility model for ordered categorical data to include the interactions between the categorical regressor variables.

Besides the main differential effects of the categorical regressor variables, the model allow the differential effect for each level of variable to vary within the levels of other variables.

This research shows how to estimate this type of model, how to resolve the problems surrounding it, and how to interpret it in a simple and and straightforward way.

The study also shows how to check and diagnose the estimated models using cross-validations, outliers and influential observations, and other tests.

The application data for this research are collected from a random sample of students at the University College of Makkah, University of Umm-Alqura.

The ordered response categorical variable for the study is the academic performance of students, which is assumed to be associated with a number of categorical variables also.

Some of these regressor variables are ordered and others are not.

The data of the study are analysed by SPSS (Statistical Package for the Social Sciences) and Minitab.