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Unconditional Versions of Several Tests Commonly Used in the Analysis of Contingency Tables
Author(s) -
Freidlin Boris,
Gastwirth Joseph L.
Publication year - 1999
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.1999.00264.x
Subject(s) - contingency table , homogeneity (statistics) , statistics , nuisance parameter , confidence interval , statistical hypothesis testing , mathematics , computer science , econometrics , estimator
Summary. By focusing on a confidence interval for a nuisance parameter, Berger and Boos (1994, Journal of the American Statistical Association 89 , 1012–1016) proposed new unconditional tests. In particular, they showed that, for a 2 × 2 table, this procedure generally was more powerful than Fisher's exact test. This paper utilizes and extends their approach to obtain unconditional tests for combining several 2×2 tables and testing for trend and homogeneity in a 2 × K table. The unconditional procedures are compared to the conditional ones by reanalyzing some published biomedical data.