A Simple Method for Constructing Multidimensional Distributions of Correlated Categorical Data |
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Authors: | Hyun Jip Choi |
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Institution: | 1. Department of Applied Information Statistics , Kyonggi University , Suwon, Korea hjchoi@kyonggi.ac.kr |
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Abstract: | We suggest a method for constructing a multidimensional distribution of correlated categorical data with fixed marginal distributions and specified degrees of association based on the log-linear models. A convex combination approach by Lee (1997
Lee , A. J. ( 1997 ). Some simple methods for generating correlated categorical variates . Computational Statistics & Data Analysis 26 : 133 – 148 .Crossref], Web of Science ®] , Google Scholar]) is applied to get a joint distribution with fixed Pearson chi-square coefficient. By using the suggested method, we can generate three-dimensional distributions which have a fixed association among three variables. Therefore, the suggested method could be extended to higher dimensions. |
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Keywords: | Multidimensional contingency tables Pearson chi-square coefficient Random number |
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