Marginal Homogeneity Model for Ordered Categories with Open Ends in Square Contingency Tables

Authors

  • Serpil Aktas Hacettepe University
  • Song Wu Stony Brook University

DOI:

https://doi.org/10.57805/revstat.v13i3.200

Keywords:

marginal homogeneity model, square contingency table, score

Abstract

A marginal homogeneity model tests whether the row and column distributions of a square contingency table have the same sample margins. However, for variables with ordered categories, the marginal homogeneity model does not take into account the ordering information, leading to significant loss of power. Score-based tests have been proposed for ordinal variables. In this paper, we extend the idea of scores and propose a new method based on the standardized scores to test the marginal homogeneity for ordered categories with open ends. Our simulation studies demonstrate that our proposed scores is more powerful than the usual scores.

Published

2015-11-19

How to Cite

Aktas , S., & Wu , S. (2015). Marginal Homogeneity Model for Ordered Categories with Open Ends in Square Contingency Tables. REVSTAT-Statistical Journal, 13(3), 233–243. https://doi.org/10.57805/revstat.v13i3.200