Simultaneous testing procedures of many null hypotheses and their applications in the DNA microarrays analysis
Mathematica Applicanda, Tome 35 (2007) no. 49/08, pp. 84-108
Cet article a éte moissonné depuis la source Annales Societatis Mathematicae Polonae Series
In our paper, we consider different approaches to the problem of simultaneous testing of many null hypotheses. In this context, we discuss the single-step, the step-down and the step-up procedures of multiple testing. In particular, we are concerned with their properties and applications in the control of the error rates, such as:FW ER, k-FWER, FDP, FDR, pFDR. The mentioned procedures are intensively used in the DNA microarrays analysis, which enables the monitoring of expression levels of many genes simultaneously and is widely applied in recent medical diagnostics, treatment and research.
Classification :
62F03 (62P10)
Mots-clés : Multiple hypothesis testing procedures, Familywise error rate, False discovery proportion, False discovery rate, p-values, q-values, DNA microarrays
Mots-clés : Multiple hypothesis testing procedures, Familywise error rate, False discovery proportion, False discovery rate, p-values, q-values, DNA microarrays
@article{10_14708_ma_v35i49_08_1389,
author = {Marcin Dudzi\'nski and Konrad Furma\'nczyk},
title = {Simultaneous testing procedures of many null hypotheses and their applications in the {DNA} microarrays analysis},
journal = {Mathematica Applicanda},
pages = { 84--108},
year = {2007},
volume = {35},
number = {49/08},
doi = {10.14708/ma.v35i49/08.1389},
language = {pl},
url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v35i49/08.1389/}
}
TY - JOUR AU - Marcin Dudziński AU - Konrad Furmańczyk TI - Simultaneous testing procedures of many null hypotheses and their applications in the DNA microarrays analysis JO - Mathematica Applicanda PY - 2007 SP - 84 EP - 108 VL - 35 IS - 49/08 UR - http://geodesic.mathdoc.fr/articles/10.14708/ma.v35i49/08.1389/ DO - 10.14708/ma.v35i49/08.1389 LA - pl ID - 10_14708_ma_v35i49_08_1389 ER -
%0 Journal Article %A Marcin Dudziński %A Konrad Furmańczyk %T Simultaneous testing procedures of many null hypotheses and their applications in the DNA microarrays analysis %J Mathematica Applicanda %D 2007 %P 84-108 %V 35 %N 49/08 %U http://geodesic.mathdoc.fr/articles/10.14708/ma.v35i49/08.1389/ %R 10.14708/ma.v35i49/08.1389 %G pl %F 10_14708_ma_v35i49_08_1389
Marcin Dudziński; Konrad Furmańczyk. Simultaneous testing procedures of many null hypotheses and their applications in the DNA microarrays analysis. Mathematica Applicanda, Tome 35 (2007) no. 49/08, pp. 84-108. doi: 10.14708/ma.v35i49/08.1389
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