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arXiv · 2305.08136

Diagonals-parameter symmetry model and its property for square contingency tables with ordinal categories

Kouji Tahata·Kohei Matsuda
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Abstract

Previously, the diagonals-parameter symmetry model based on $f$-divergence (denoted by DPS[$f$]) was reported to be equivalent to the diagonals-parameter symmetry model regardless of the function $f$, but the proof was omitted. Here, we derive the DPS[$f$] model and the proof of the relation between the two models. We can obtain various interpretations of the diagonals-parameter symmetry model from the result. Additionally, the necessary and sufficient conditions for symmetry and property between test statistics for goodness of fit are discussed.

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Kouji Tahata, Kohei Matsuda. 2023-05-14. Diagonals-parameter symmetry model and its property for square contingency tables with ordinal categories. https://arxiv.org/abs/2305.08136

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