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Tomizawa, S. (1992) A Model of Symmetry with Exponents along Every Subdiagonal and Its Application to Data on Unaided Vision of Pupils at Japanese Elementary Schools. Journal of Applied Statistics, 19, 509-512. http://dx.doi.org/10.1080/02664769200000046

has been cited by the following article:

• TITLE: Extended Diagonal Exponent Symmetry Model and Its Orthogonal Decomposition in Square Contingency Tables with Ordered Categories

  AUTHORS: Kiyotaka Iki, Akira Shibuya, Sadao Tomizawa

  KEYWORDS: Diagonal Exponent Symmetry, Ordinal Category, Orthogonal Decomposition, Quasi-Symmetry, Square Contingency Table

  JOURNAL NAME: Open Journal of Statistics, Vol.5 No.4, June 3, 2015

  ABSTRACT: For square contingency tables with ordered categories, this article proposes new models, which are the extension of Tomizawa’s [1] diagonal exponent symmetry model. Also it gives the decomposition of proposed model, and shows the orthogonality of the test statistics for decomposed models. Examples are given and the simulation studies based on the bivariate normal distribution are also given.