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Plots of P-values to evaluate many tests simultaneously

Plots of P-values to evaluate many tests simultaneously Abstract When a large number of tests are made, possibly on the same data, it is proposed to base a simultaneous evaluation of all the tests on a plot of cumulative P-values using the observed significance probabilities. The points corresponding to true null hypotheses should form a straight line, while those for false null hypotheses should deviate from this line. The line may be used to estimate the number of true hypotheses. The properties of the method are studied in some detail for the problems of comparing all pairs of means in a one-way layout, testing all correlation coefficients in a large correlation matrix, and the evaluation of all 2×2 subtables in a contingency table. The plot is illustrated on real data. This content is only available as a PDF. © 1982 Biometrika Trust http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Biometrika Oxford University Press

Plots of P-values to evaluate many tests simultaneously

Biometrika , Volume 69 (3) – Dec 1, 1982

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References (12)

Publisher
Oxford University Press
Copyright
© 1982 Biometrika Trust
ISSN
0006-3444
eISSN
1464-3510
DOI
10.1093/biomet/69.3.493
Publisher site
See Article on Publisher Site

Abstract

Abstract When a large number of tests are made, possibly on the same data, it is proposed to base a simultaneous evaluation of all the tests on a plot of cumulative P-values using the observed significance probabilities. The points corresponding to true null hypotheses should form a straight line, while those for false null hypotheses should deviate from this line. The line may be used to estimate the number of true hypotheses. The properties of the method are studied in some detail for the problems of comparing all pairs of means in a one-way layout, testing all correlation coefficients in a large correlation matrix, and the evaluation of all 2×2 subtables in a contingency table. The plot is illustrated on real data. This content is only available as a PDF. © 1982 Biometrika Trust

Journal

BiometrikaOxford University Press

Published: Dec 1, 1982

There are no references for this article.