title: On the first-order Rao-Scott correction of the Umesh-Loughin-Scherer statistic.
abstract: Decady and Thomas (2000, Biometrics 56, 893-896) propose a first-order corrected Umesh-Loughin-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.
authors.affiliation: Department of Statistics, Oklahoma State University, Stillwater 74078, USA. bilder@okstate.edu
authors.forename: C R
authors.initials: CR
authors.lastname: Bilder
authors.forename: T M
authors.initials: TM
authors.lastname: Loughin
mesh_terms: D001699:Biometry / Q000379:methods*; D016009:Chi-Square Distribution; D006801:Humans; D015233:Models, Statistical