2 articles for “conditional symmetry”

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Research ArticleOpen accessEvery word in the titleMeasure of Departure from Conditional Partial Symmetry for Square Contingency TablesYusuke Saigusa, Nobuki Fukumoto, Tomoyuki Nakagawa, Sadao TomizawaFor square contingency tables, asymmetry of conditional probability in part of the off-diagonal cells isconsidered with respect to the main diagonal. A measure is proposed torepresent the degree of departure from the symmetric structure and gives theapproximate confidence interval. Some numerical experiments are performed toillustrate the validity and usefulness of the proposed measure. Japaneseoccupational data are analyzed using the measure. …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 4 Oct 2022 · 5,561 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsMeasure of Departure from Average Cumulative Symmetry for Square Contingency Tables with Ordered CategoriesKouta Miyazawa, Sadao Tomizawa, Kouji TahataProblem statement: For square contingency tables with ordered categories, we are interested in considering a structure of weak symmetry when Bowker's symmetry model does not hold and in measuring the degree of departure from weak symmetry. Approach: The present study considered the average cumulative symmetry model that has a weaker restriction than the structure of symmetry. It also gave a … …Current Research in Biostatistics, Vol. 1, Issue 1 · 30 Jun 2010 · 7,621 accessesView PDF Cite