3 results for “Linear diagonals-parameter symmetry”

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Research ArticleOpen accessIn the keywordsAnalysis of Unaided Vision Data using New Decomposition of SymmetryKouji Yamamoto, Sadao TomizawaProblem statement: First, this study considers how the structure of symmetry for probabilities is decomposed into two structures. Secondly, this study infers the structure of unknown probabilities which indicates how the right eye is better (or worse) than the left eye for three kinds of data on unaided distance vision of (1) women in Britain, (2) students in an university … …Current Research in Medicine, Vol. 3, Issue 1 · 25 Feb 2012 · 7,449 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsDecompositions for Ordinal Quasi-Symmetry Model in Square Contingency Tables with Ordered CategoriesKouji Yamamoto, Satoru Shinoda, Sadao TomizawaProblem statement: For square contingency tables with ordered categories, this study considers four kinds of extensions of the marginal homogeneity model and gives decompositions for the ordinal quasi-symmetry model. The decompositions are extensions of some existing decompositions. Approach: This study gives a decomposition theorem that the ordinal quasi-symmetry model holds if and only if the quasi-symmetry model and the proposed … …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 28 Oct 2011 · 7,152 accessesView PDF Cite

Research ArticleOpen accessIn the abstractMeasure 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