Title
A peeling algorithm for multiple testing on a random field
Abstract
The optimal decision rule for testing hypothesis using observations or statistics on a two-dimensional lattice system is theoretically well-understood since Sun and Cai (J R Stat Soc Ser B (Stat Methodol) 71(2):393–424, 2009). However, its practical use still faces several difficulties that include the computation of the local index of significance (LIS). In this paper, we propose a peeling algorithm to compute the LIS, or equivalently the marginal posterior probability for the indicator of the true hypothesis for each site. We show that the proposed peeling algorithm has several advantages over the popular Markov chain Monte Carlo methods through an extensive numerical study. An application of the peeling algorithm to finding active voxels in a task-based fMRI experiment is also presented.
Year
DOI
Venue
2018
10.1007/s00180-017-0724-4
Computational Statistics
Keywords
DocType
Volume
Functional MRI,Hidden Markov random field,Local index of significance,Marginal false discovery rate
Journal
33
Issue
ISSN
Citations 
1
1613-9658
0
PageRank 
References 
Authors
0.34
2
4
Name
Order
Citations
PageRank
Joungyoun Kim100.34
Donghyeon Yu232.10
Johan Lim36310.95
Joong-Ho Won400.34