Tests of symmetry in three-way contingency tables |
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Authors: | Dr. Campbell B. Read |
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Affiliation: | (1) Department of Statistics, Southern Methodist University, 75275 Dallas, Texas |
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Abstract: | Three-dimensional contingency tables are analyzed, with one variable (e.g., sex) as a factor, and with a natural relation between the other variables (e.g. left and right eye vision). Models of special interest, like symmetry and proportional symmetry between the related variables, and homogeneity across the factor levels, are investigated. Maximum likelihood estimators of parameters and partitions of chi-square goodness-of-fit statistics are explicitly presented; the independence of certain models is noted, and an example is discussed. |
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Keywords: | contingency tables model fitting partition of chi-square symmetry three-dimensional discrete data |
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