Comments on: Control of the false discovery rate under dependence using the bootstrap and subsampling
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چکیده
In this enlightening and stimulating paper, Professors Romano, Shaikh, and Wolf construct two novel resampling-based multiple testing methods using the bootstrap and subsampling techniques and theoretically prove that these methods approximately control the FDR under weak regularity conditions. The theoretical results provide a satisfactory solution to an important and challenging problem in multiple testing on developments of FDR controlling procedures by exploiting unknown dependence among the test statistics using resampling techniques. In my comments, I address the related statistical and computational issues when applying their bootstrap method to analyze high-dimensional, low sample size data such as microarray data and suggest several possible extensions.
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Rejoinder on: Control of the false discovery rate under dependence using the bootstrap and subsampling
We are extremely appreciative of the insightful comments made by all the responders. The goal of constructing useful multiple testing methods which control the false discovery rate and other measures of error is currently a thriving and important area of research. On the one hand, the bootstrap method presented in the present work seems to work quite well and is supported by some theoretical an...
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This paper considers the problem of testing s null hypotheses simultaneously while controlling the false discovery rate (FDR). Benjamini and Hochberg (1995) provide a method for controlling the FDR based on p-values for each of the null hypotheses under the assumption that the p-values are independent. Subsequent research has since shown that this procedure is valid under weaker assumptions on ...
متن کاملComments on: Control of the false discovery rate under dependence using the bootstrap and subsampling
We congratulate Romano, Shaikh, and Wolf for their interesting work. Our only criticism to the presentation of the article, which is otherwise very readable, concerns Remark 1 on p. 8. This is crucial to understanding the method, because it explains that the estimates of the probabilities under the null are determined by the smaller test statistics, so it should have been made explicit at an ea...
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