Testing over a continuum of null hypotheses with False Discovery Rate control
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چکیده
منابع مشابه
Testing over a continuum of null hypotheses
We introduce a theoretical framework for performing statistical hypothesis testing simultaneously over a fairly general, possibly uncountably infinite, set of null hypotheses. This extends the standard statistical setting for multiple hypotheses testing, which is restricted to a finite set. This work is motivated by numerous modern applications where the observed signal is modeled by a stochast...
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Background and Objectives: In recent years, new technologies have led to produce a large amount of data and in the field of biology, microarray technology has also dramatically developed. Meanwhile, the Fisher test is used to compare the control group with two or more experimental groups and also to detect the differentially expressed genes. In this study, the false discovery rate was investiga...
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When a large number of statistical tests is performed, the chance of false positive findings could increase considerably. The traditional approach is to control the probability of rejecting at least one true null hypothesis, the familywise error rate (FWE). To improve the power of detecting treatment differences, an alternative approach is to control the expected proportion of errors among the ...
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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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We propose an adaptive, sequential methodology for testing multiple hypotheses. Our methodology consists of a new criterion, the excess discovery count (EDC), and a new class of testing procedures that we call alpha-investing rules. The excess discovery count is the difference between the number of correctly rejected null hypotheses and a fraction of the total number of rejected hypotheses. EDC...
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تاریخ انتشار 2017