Orthogonal decomposition of point-symmetry model for two-way contingency tables

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For the analysis of two-way contingency tables, this paper presents a note on a useful decomposition of the likelihood ratio (LR) statistic for the point-symmetry (PS) model. The PS is decomposed into the row (column) conditional PS and the row (column) marginal PS. This decomposition is orthogonal with respect to the LR statistic; namely, the statistic for PS is exactly equal to the sum of those for the decomposed models.

Original languageEnglish
Pages (from-to)91-100
Number of pages10
JournalJournal of Statistical Planning and Inference
Issue number1
Publication statusPublished - 1 Jan 1993



  • Conditional point-symmetry
  • likelihood ratio statistic
  • orthogonality
  • row (column) marginal point-symmetry

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