A note on control of the false discovery proportion

• Autorzy: Marcin Dudziński , Konrad Furmańczyk
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 62J15: Paired and multiple comparisons
• 62G10: Hypothesis testing

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2009
• Tom: 36
• Numer: 4
• Strony: 397-418

Daty

wydano

2009

Twórcy

autor

Marcin Dudziński

• Faculty of Applied Informatics and Mathematics, Department of Applied Mathematics, Warsaw University of Life Sciences (SGGW), Nowoursynowska 159, 02-776 Warszawa, Poland

autor

Konrad Furmańczyk

• Faculty of Applied Informatics and Mathematics, Department of Applied Mathematics, Warsaw University of Life Sciences (SGGW), Nowursynowska 159, 02-776 Warszawa, Poland

Identyfikatory

DOI

10.4064/am36-4-2