Ordinal association in contingency tables: Some interpretive aspects

Zvi Gilula, Abba M. Krieger, Yaakov Ritov

Research output: Contribution to journalArticlepeer-review

47 Scopus citations

Abstract

Two families of models for ordered contingency tables—Goodman’s association models and canonical correlation models—are investigated and compared with respect to the interpretation of their parameters. We show that the two families of models actually refer to different kinds of ordinal association: stochastic order extremity for correlation models and stochastic order entropy for association models. This difference is related to the way the two models scale interaction. The scale difference is proven to be of substantial consequence, especially under strong association.

Original languageEnglish
Pages (from-to)540-545
Number of pages6
JournalJournal of the American Statistical Association
Volume83
Issue number402
DOIs
StatePublished - Jun 1988

Keywords

  • Association models
  • Correlation models
  • Stochastic order

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