In the last decade a growing amount of statistical research has been devoted to multiple testing, motivated by a variety of applications in medicine, bioinformatics, genomics, brain imaging, etc. Research in this area is focused on developing powerful procedures even when the number of tests is very large. This paper attempts to review research in modern multiple hypothesis testing with particular attention to the false discovery proportion, loosely defined as the number of false rejections divided by the number of rejections. We review the main ideas, stepwise and augmentation procedures; and resampling based testing. We also discuss the problem of dependence among the test statistics. Simulations make a comparison between the procedures and with Bayesian methods. We illustrate the procedures in applications in DNA microarray data analysis. Finally, few possibilities for further research are highlighted.

A Review of Modern Multiple Hypothesis Testing, with particular attention to the false discovery proportion / Farcomeni, Alessio. - In: STATISTICAL METHODS IN MEDICAL RESEARCH. - ISSN 0962-2802. - 17:(2008), pp. 347-388. [10.1177/0962280206079046]

A Review of Modern Multiple Hypothesis Testing, with particular attention to the false discovery proportion

FARCOMENI, Alessio
2008

Abstract

In the last decade a growing amount of statistical research has been devoted to multiple testing, motivated by a variety of applications in medicine, bioinformatics, genomics, brain imaging, etc. Research in this area is focused on developing powerful procedures even when the number of tests is very large. This paper attempts to review research in modern multiple hypothesis testing with particular attention to the false discovery proportion, loosely defined as the number of false rejections divided by the number of rejections. We review the main ideas, stepwise and augmentation procedures; and resampling based testing. We also discuss the problem of dependence among the test statistics. Simulations make a comparison between the procedures and with Bayesian methods. We illustrate the procedures in applications in DNA microarray data analysis. Finally, few possibilities for further research are highlighted.
2008
01 Pubblicazione su rivista::01a Articolo in rivista
A Review of Modern Multiple Hypothesis Testing, with particular attention to the false discovery proportion / Farcomeni, Alessio. - In: STATISTICAL METHODS IN MEDICAL RESEARCH. - ISSN 0962-2802. - 17:(2008), pp. 347-388. [10.1177/0962280206079046]
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/142139
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? 51
  • Scopus 163
  • ???jsp.display-item.citation.isi??? 142
social impact