On the first-order Rao-Scott correction of the Umesh-Loughin-Scherer statistic.
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.
Bilder
C R
CR
Department of Statistics, Oklahoma State University, Stillwater 74078, USA. bilder@okstate.edu
Loughin
T M
TM
D001699:Biometry / Q000379:methods*; D016009:Chi-Square Distribution; D006801:Humans; D015233:Models, Statistical