Kateri, Maria; Agresti, Alan A class of ordinal quasi-symmetry models for square contingency tables. (English) Zbl 1116.62067 Stat. Probab. Lett. 77, No. 6, 598-603 (2007). Summary: M. Kateri and S. Papaioannou [Asymmetry models for contingency tables. J. Am. Stat. Assoc. 92, No. 439, 1124–1131 (1997; Zbl 0889.62050)] proved that, under certain conditions, quasi-symmetry is the closest model to symmetry. A simpler ordinal quasi-symmetry model is the closest to symmetry, under a weaker condition of unequal marginal mean scores. It is a special case of a class of ordinal models based on f-divergence. Cited in 1 ReviewCited in 8 Documents MSC: 62H17 Contingency tables Keywords:diagonals-parameter symmetry; square contingency table; symmetry; marginal homogeneity; \(f\)-divergence; ordered categorical data Citations:Zbl 0889.62050 PDF BibTeX XML Cite \textit{M. Kateri} and \textit{A. Agresti}, Stat. Probab. Lett. 77, No. 6, 598--603 (2007; Zbl 1116.62067) Full Text: DOI OpenURL References: [1] Agresti, A., A simple diagonals-parameters symmetry and quasi-symmetry model, Statist. probab. lett., 1, 313-316, (1983) · Zbl 0528.62050 [2] Agresti, A., Computing conditional maximum likelihood estimates for generalized rasch models using simple loglinear models with diagonals parameters, Scand. J. statist., 20, 63-71, (1993) · Zbl 0770.62095 [3] Agresti, A., Categorical data analysis, (2002), Wiley New York · Zbl 1018.62002 [4] CsiszĂ r, I., Eine informationstheoretische ungleichung und ihre anwendungen auf den beweis der ergozitat von markoffschen ketten, A mayar tudomanyos academia mathematikai kutato intezelent kozlemezyri, 8, 85-108, (1963) · Zbl 0124.08703 [5] Gilula, Z.; Krieger, A.M.; Ritov, Y., Ordinal association in contingency tables: some interpretive aspects, J. amer. statist. assoc., 83, 540-545, (1988) · Zbl 0644.62065 [6] Goodman, L.A., Multiplicative models for square contingency tables with ordered categories, Biometrika, 66, 413-418, (1979) [7] Goodman, L.A., The analysis of cross-classified data having ordered and/or unordered categories: association models, correlation models, and asymmetry models for contingency tables with or without missing entries, Ann. statist., 13, 10-69, (1985) · Zbl 0613.62070 [8] Kateri, M.; Papaioannou, T., Asymmetry models for contingency tables, J. amer. statist. assoc., 92, 1124-1131, (1997) · Zbl 0889.62050 [9] Read, T.R.C.; Cressie, N.A.C., Goodness-of-fit statistics for discrete multivariate data, (1988), Springer New York This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.