English

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

Methodology 2023-05-16 v1

Abstract

Previously, the diagonals-parameter symmetry model based on ff-divergence (denoted by DPS[ff]) was reported to be equivalent to the diagonals-parameter symmetry model regardless of the function ff, but the proof was omitted. Here, we derive the DPS[ff] 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.

Keywords

Cite

@article{arxiv.2305.08136,
  title  = {Diagonals-parameter symmetry model and its property for square contingency tables with ordinal categories},
  author = {Kouji Tahata and Kohei Matsuda},
  journal= {arXiv preprint arXiv:2305.08136},
  year   = {2023}
}

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17 pages