UMPU and alternative tests for association in 2 × 2 tables

Camil Fuchs

doi:10.1111/j.0006-341X.2001.00535.x

UMPU and alternative tests for association in 2 × 2 tables

Camil Fuchs^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The use of the uniformly most powerful among the unbiased (UMPU) test was recently suggested for the study of gametic association between two polymorphic loci as an alternative to the Fisher's exact test (Zapata and Alvarez, 1997, Annals of Human Genetics 61, 71-77). However, the proposed test is not UMPU for two-sided alternatives. In this study, we present the UMPU test, discuss criticisms against the use of randomized tests, and compare the power of several tests. We show that, in many practical cases, the use of the UMPU test is less than desirable and propose the alternative adjusted-more extreme tables (A-MET) and the equal-tails (ET) tests. We suggest that some of the general arguments against the use of randomized tests can be alleviated by a newly proposed extended p-value definition.

Original language	English
Pages (from-to)	535-538
Number of pages	4
Journal	Biometrics
Volume	57
Issue number	2
DOIs	https://doi.org/10.1111/j.0006-341X.2001.00535.x
State	Published - Jun 2001

Keywords

2 × 2 tables
A-MET test
ET test
Extended p-value
Fisher's exact test
Gametic association
Tocher's test
Two-sided tests
UMPU test
X test

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10.1111/j.0006-341X.2001.00535.x

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UMPU and alternative tests for association in 2 × 2 tables

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Keywords

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