Multiple hypotheses testing and expected number of type I. errors

By Helmut Finner, Markus Roters. 2002

112 citations recorded by the source corpus.

Subfields: Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/e0602c5359e059d9395eda68cf5b15cd3df3206d

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In Management Science and Operations Research

In Statistics and Probability

Citations in the corpus

FDR-CONTROLLING STEPWISE PROCEDURES AND THEIR FALSE NEGATIVES RATES (2004, background): “Readers are referred to Finner and Roters (2002) and Liu (1996) for more on step-up and step-down procedures.”
A stochastic process approach to false discovery control (2004, background): “Finner and Roters (2002) discussed the behavior of the expected number of type I errors.”
Exact calculations for false discovery proportion with application to least favorable configurations (2010, methodology): “This contrasts with [8, 16] and the present paper which use the c.”
The Bayes oracle and asymptotic optimality of multiple testing procedures under sparsity (2010, unknown): “Concerning type I error component of the risk, this extension was possible due to the precise and powerful results of [21] on the expected number of false discoveries using BH under the total null hypothesis.”
Dependency and false discovery rate: Asymptotics (2007, methodology): “In [8] the distribution and expectation of Vn were computed for uniform p-values under the assumption that all hypotheses are true.”
Strong control, conservative point estimation and simultaneous conservative consistency of false discovery rates: a unified approach (2004, methodology): “The proofs are straightforward, relying only on convergence of the underlying empirical processes, and not large deviation inequalities as in Genovese and Wasserman (2002a).”
Controlling the familywise error rate with plug‐in estimator for the proportion of true null hypotheses (2009, result): “The next theorem yields the asymptotic behaviour of Vn for the least favourable Dirac–uniform configuration which is in line with the asymptotic results in Finner and Roters (2002) for various traditional multiple-testing procedures; see remark 1.”
Some Results on the Control of the False Discovery Rate under Dependence (2007, background): “Note that in multiple testing literature it is natural to think about asymptotics is in m, i.e. to have an increasing number of tests (and possibly fixed number of observations) (see, e.g. Finner & Roters, 2002, and references therein).”
On the performance of FDR control: Constraints and a partial solution (2007, background): “Under this model, FDR = (1 − π)α for the BH procedure [2, 7, 17].”
False Discovery Control for Random Fields (2004, background): “Finner and Roters (2002) discussed the behavior of the expected number of type I errors.”