On the first-order Rao-Scott correction of the Umesh-Loughin-Scherer statistic

Christopher R. Bilder, Thomas M. Loughin

Research output: Contribution to journalShort surveypeer-review

8 Scopus citations


Decady and Thomas (2000, Biometrics 56, 893-896) propose a first-order corrected UmeshLoughin-Scherer statistic to test for association in an r x c contingency table with multiple column responses. Agresti and Liu (1999, Biometrics 55, 936-943) point out that such statistics are not invariant to the arbitrary designation of a zero or one to a positive response. This paper shows that, in addition, the proposed testing procedure does not hold the correct size when there are strong pairwise associations between responses.

Original languageEnglish (US)
Pages (from-to)1253-1255
Number of pages3
Issue number4
StatePublished - 2001
Externally publishedYes


  • Chi-square test
  • Modified Pearson statistic
  • Multiple marginal independence
  • Multiple response
  • Pick any data

ASJC Scopus subject areas

  • Statistics and Probability
  • General Biochemistry, Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics


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