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

arXiv: https://arxiv.org/abs/2305.08136 · HTML: https://mlsanity.com/paper/2305.08136/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 14 May 2023.

## Built on by (most cited first, 1 of 1)

- [PolicyBot - Reliable Question Answering over Policy Documents](https://mlsanity.com/paper/2511.13489/) (2025)

## Abstract (arXiv)

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.
