Estimating the proportion of false null hypotheses among a large number of independently tested hypotheses
نویسندگان
چکیده
منابع مشابه
Estimating the Proportion of False Null Hypotheses among a Large Number of Independently Tested Hypotheses
We consider the problem of estimating the number of false null hypotheses among a very large number of independently tested hypotheses, focusing on the situation in which the proportion of false null hypotheses is very small. We propose a family of methods for establishing lower 100(1−α)% confidence bounds for this proportion, based on the empirical distribution of the p-values of the tests. Me...
متن کاملEstimating the Proportion of False Null Hypotheses among a Large Number of Independently Tested Hypotheses by Nicolai Meinshausen
We consider the problem of estimating the number of false null hypotheses among a very large number of independently tested hypotheses, focusing on the situation in which the proportion of false null hypotheses is very small. We propose a family of methods for establishing lower 100(1 − α)% confidence bounds for this proportion, based on the empirical distribution of the p-values of the tests. ...
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Consider the multiple testing problem of testing m null hypotheses H1, . . . ,Hm, among which m0 hypotheses are truly null. Given the P-values for each hypothesis, the question of interest is how to combine the P-values to find out which hypotheses are false nulls and possibly to make a statistical inference onm0. Benjamini and Hochberg proposed a classical procedure that can control the false ...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 2006
ISSN: 0090-5364
DOI: 10.1214/009053605000000741