Vol. 8, No. 2, 2015

Download this article
Download this article For screen
For printing
Recent Issues

Volume 11
Issue 2, 181–359
Issue 1, 1–179

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editors’ Addresses
Editors’ Interests
Scientific Advantages
Submission Guidelines
Submission Form
Ethics Statement
Editorial Login
Author Index
Coming Soon
Contacts
 
ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Enhancing multiple testing: two applications of the probability of correct selection statistic

Erin Irwin and Jason Wilson

Vol. 8 (2015), No. 2, 181–194
Abstract

The calculation of the probability of correct selection (PCS) shows how likely it is that the populations chosen as “best” truly are the top populations, according to a well-defined standard. PCS is useful for the researcher with limited resources or the statistician attempting to test the quality of two different statistics. This paper explores the theory behind two selection goals for PCS, G-best and d-best, and how they improve previous definitions of PCS for massive datasets. This paper also calculates PCS for two applications that have already been analyzed by multiple testing procedures in the literature. The two applications are in neuroimaging and econometrics. It is shown through these applications that PCS not only supports the multiple testing conclusions but also provides further information about the statistics used.

Keywords
probability of correct selection (PCS), $d$-best, $G$-best, ranking and selection, neuroimaging, econometrics
Mathematical Subject Classification 2010
Primary: 46N30, 47N30
Milestones
Received: 29 August 2011
Revised: 12 July 2013
Accepted: 26 July 2013
Published: 3 March 2015

Communicated by Timothy O'Brien
Authors
Erin Irwin
Mathematics and Computer Science Department
Biola University
13800 Biola Avenue
La Mirada, CA 90639
United States
Jason Wilson
Mathematics and Computer Science Department
Biola University
13800 Biola Avenue
La Mirada, CA 90639
United States