# A note on control of the false discovery proportion

Marcin Dudziński; Konrad Furmańczyk

Applicationes Mathematicae (2009)

- Volume: 36, Issue: 4, page 397-418
- ISSN: 1233-7234

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topMarcin Dudziński, and Konrad Furmańczyk. "A note on control of the false discovery proportion." Applicationes Mathematicae 36.4 (2009): 397-418. <http://eudml.org/doc/279890>.

@article{MarcinDudziński2009,

abstract = {We consider the problem of simultaneous testing of a finite number of null hypotheses $H_\{i\}$, i=1,...,s. Starting from the classical paper of Lehmann (1957), it has become a very popular subject of research. In many applications, particularly in molecular biology (see e.g. Dudoit et al. (2003), Pollard et al. (2005)), the number s, i.e. the number of tested hypotheses, is large and the popular procedures that control the familywise error rate (FWERM) have small power. Therefore, we are concerned with another error rate measure, called the false discovery proportion (FDP). We prove some theorems about control of the FDP measure. Our results differ from those obtained by Lehmann and Romano (2005).},

author = {Marcin Dudziński, Konrad Furmańczyk},

journal = {Applicationes Mathematicae},

keywords = {stepup procedure; multiple testing; -value; Holm procedure; stepdown procedure},

language = {eng},

number = {4},

pages = {397-418},

title = {A note on control of the false discovery proportion},

url = {http://eudml.org/doc/279890},

volume = {36},

year = {2009},

}

TY - JOUR

AU - Marcin Dudziński

AU - Konrad Furmańczyk

TI - A note on control of the false discovery proportion

JO - Applicationes Mathematicae

PY - 2009

VL - 36

IS - 4

SP - 397

EP - 418

AB - We consider the problem of simultaneous testing of a finite number of null hypotheses $H_{i}$, i=1,...,s. Starting from the classical paper of Lehmann (1957), it has become a very popular subject of research. In many applications, particularly in molecular biology (see e.g. Dudoit et al. (2003), Pollard et al. (2005)), the number s, i.e. the number of tested hypotheses, is large and the popular procedures that control the familywise error rate (FWERM) have small power. Therefore, we are concerned with another error rate measure, called the false discovery proportion (FDP). We prove some theorems about control of the FDP measure. Our results differ from those obtained by Lehmann and Romano (2005).

LA - eng

KW - stepup procedure; multiple testing; -value; Holm procedure; stepdown procedure

UR - http://eudml.org/doc/279890

ER -

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