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On the First‐Order Rao—Scott Correction of the Umesh—Loughin—Scherer Statistic
Author(s) -
Bilder Christopher R.,
Loughin Thomas M.
Publication year - 2001
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.0006-341x.2001.01253.x
Subject(s) - statistic , statistics , order (exchange) , mathematics , mathematical economics , economics , finance
Summary. Decady and Thomas (2000, Biometrics 56 , 893–896) propose a first‐order corrected Umesh‐Loughin‐Scherer statistic to test for association in an r × 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.