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二維關聯表對稱性之研究

Study on the Symmetry for Two-Way Contingency Tables

摘要


本文討論二維R×C關連表之對稱,包括R=C正方形關連表之對稱,擬對稱,各種條件對稱及點對稱,擬點對稱,以及R≠C矩形關連表之點對稱,擬點對稱,線對稱,擬線對稱及條件線對稱,各種對稱之計算方法,性質及應用。

並列摘要


This paper discusses the symmetry for two-way contingency tables. The discussion includes the symmetry, quasi-symmetry, conditional symmetry, point symmetry, quasi-point symmetry for R=C square table, the point symmetry, quasi-point symmetry, line symmetry, quasi-line symmetry, conditional line symmetry for R≠C rectangular table, and their formulas, features and applications for various types of symmetries.

參考文獻


Agresti, A.(1984).Analysis of Ordinal Categorical Data.New York:John-Wily & Sons.
Agresti, A.(1990).Categorical Data Analysis.New York:John-Wily & Sons.
Fienberg, S. E.(1980).The Analysis of Cross-Classified Categorical Data.Cambridge, Mass.:The MIT Press.
Goodman, L. A.(1979).Multiplicative models for square contingency tables with ordered categories.Biometrika.66,413-418.
Kateri, M.,Papaioannou, T.(1996).Symmetry and asymmetry models for rectangular tables.Biom. J..38,203-220.

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