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Asymmetry Index on Marginal Homogeneity for Square Contingency Tables with Ordered Categories
Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Chiba, Japan
Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Chiba, Japan
Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Chiba, Japan
- 1 Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Chiba, Japan
- 2 Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Chiba, Japan
- 3 Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Chiba, Japan
Open Journal of Statistics·Volume 02 (2012)·Pages 198–203·Published 23 April 2012·DOI10.4236/ojs.2012.22023
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Abstract
For square contingency tables with ordered categories, the present paper considers two kinds of weak marginal homogeneity and gives measures to represent the degree of departure from weak marginal homogeneity. The proposed measures lie between –1 to 1. When the marginal cumulative logistic model or the extended marginal homogeneity model holds, the proposed measures represent the degree of departure from marginal homogeneity. Using these measures, three kinds of unaided distance vision data are analyzed.
KeywordsMarginal HomogeneityMarginal Cumulative Logistic ModelMeasureSquare Contingency Table
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