Exceedance Control of the False Discovery Proportion

نویسندگان

  • Christopher Genovese
  • Larry Wasserman
چکیده

Multiple testing methods to control the False Discovery Rate (FDR), the expected proportion of falsely rejected null hypotheses among all rejections) have received much attention. It can be valuable instead to control not the mean of this false discovery proportion (FDP) but the probability that the FDP exceeds a specified bound. In this paper, we construct a general class of methods for exceedance control of FDP based on inverting tests of uniformity. The method also produces a confidence envelope for the FDP as a function of rejection threshold. We discuss how to select a procedure with good power.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Online Rules for Control of False Discovery Rate and False Discovery Exceedance

Multiple hypothesis testing is a core problem in statistical inference and arises in almost every scientific field. Given a set of null hypotheses H(n) = (H1, . . . ,Hn), Benjamini and Hochberg [BH95] introduced the false discovery rate (FDR), which is the expected proportion of false positives among rejected null hypotheses, and proposed a testing procedure that controls FDR below a pre-assign...

متن کامل

The False Discovery Rate in Simultaneous Fisher and Adjusted Permutation Hypothesis Testing on Microarray Data

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...

متن کامل

False Discovery Control With P-Value Weighting

We present a method for multiple hypothesis testing that maintains control of the False Discovery Rate while incorporating prior information about the hypotheses. The prior information takes the form of p-value weights. If the assignment of weights is positively associated with the null hypotheses being false, the procedure improves power, except in cases where power is already near one. Even i...

متن کامل

False Discovery Control in Large-Scale Spatial Multiple Testing.

This article develops a unified theoretical and computational framework for false discovery control in multiple testing of spatial signals. We consider both point-wise and cluster-wise spatial analyses, and derive oracle procedures which optimally control the false discovery rate, false discovery exceedance and false cluster rate, respectively. A data-driven finite approximation strategy is dev...

متن کامل

False discovery control for multiple tests of association under general dependence

We propose a confidence envelope for false discovery control when testing multiple hypotheses of association simultaneously. The method is valid under arbitrary and unknown dependence between the test statistics and allows for an exploratory approach when choosing suitable rejection regions while still retaining strong control over the proportion of false discoveries.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015