Double linear diagonals-parameter symmetry and decomposition of double symmetry for square tables |
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Authors: | Kouji Tahata Sadao Tomizawa |
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Institution: | 1. Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Noda City, Chiba, 278-8510, Japan
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Abstract: | For square contingency tables with ordered category, the present paper proposes the double linear diagonals-parameter symmetry
(D-LDPS) model which implies the structure of both asymmetry with respect to the main diagonal and with respect to the reverse
diagonal in the table. The D-LDPS model may be appropriate for a square ordinal table if it is reasonable to assume an underlying
bivariate normal distribution with equal marginal variances. The present paper also gives the orthogonal decomposition of
the double symmetry model into the D-LDPS model and the double marginal mean equality model. An example is given. |
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Keywords: | |
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