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Avoiding Loss of Power in Conditional Tests with 2x2xK Contingency Tables

Publish Year: 1379
Type: Conference paper
Language: English
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ISC05_019

Index date: 4 January 2010

Avoiding Loss of Power in Conditional Tests with 2x2xK Contingency Tables abstract

The commonly-used statistic for testing conditional independence in multiple 2×2 tables has a conditional distribution with relatively few possible values. This unnecessary discreteness leads to conservative tests. Kim and Agresti (1995) remedy this conservativeness by partitioning the sample space based on a secondary static-the null hypothesis probability of various tables with the same sufficient statistic. However, the Kim and Agresti test requires calculation of the exact product hypergeometric probabilities. We propose an alternative test statistic that may assume as many distinct values as there are elements of the conditional sample space. For this statistic, tests may be based on either exact computation of the p-value or a chi-square distribution approximation.

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Avoiding Loss of Power in Conditional Tests with 2x2xK Contingency Tables authors

Robert W. Mee

Dept. of Stal. University of Tennessee, Knoxville, TN ۳۷۹۹۶-۰۵۳۲, USA.

Mahmoud S. Seyedsadr

Biostatistics CRO, Lexington, KY. The authors thank Alan Agresti and Jon Shuster for helpful discussions via e.mail.

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Agresti, A. (1992), "A Survey of Exact Inference f5r Contingency ...
Cochran, W.G. (1954), "Some Methods _ Stengthemiag the Common Tests, ...
Kim, D. and Agrest, A. (1995), "Improved Exact Inference About ...
Mantel, N. and Haensze1, W. (1959), "Statistical Aspects of the ...
Snedecor, G.W. and Cochran, W.G. (1967), Statistical Methods, 6th ed., ...
000423 0.004548 0.022393 0.066911 0..35667 0.197656 0.213698 0.174536 0.108539 0.018351 ...
00089 0.00132 0.00331 0.00585 0.00774 0.01687 0.02854 0.03436 0.06545 0.10453 ...
68 0.56 0.04 0.04 0.12 0.80 2.08 3.96 6.44 9.51 ...
46 1.04 0.22 0.01 0.39 1.37 2.94 5.I2 7.90 ...
80 2.64 1.12 0.24 0.01 0.41 1:46 3.15 5.49 8.46 ...
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