Journal of Statistical Theory and Applications

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Volume 18, Issue 4, December 2019, Pages 439 - 449

A New F-Test Applicable to Large-Scale Data

Authors
Mohsen Salehi1, 2, Adel Mohammadpour2, *, Kerrie Mengersen3
1Department of Statistics, University of Qom, Qom, Iran
2Department of Statistics, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
3Science and Engineering Faculty, Queensland University of Technology, Brisbane, Australia
*Corresponding author. Email: adel@aut.ac.ir
Corresponding Author
Adel Mohammadpour
Received 25 May 2017, Accepted 6 June 2018, Available Online 27 December 2019.
DOI
10.2991/jsta.d.191217.001How to use a DOI?
Keywords
Microarray data; Permutation test; Null statistic; F-test
Abstract

In large-scale multiple testing, the permutation test based on making a null statistic has been widely employed in the literature. Because it enables us to use the null permuted samples and estimate the p-value more accurately. Some test statistics, which can be modified to a null statistic, have been proposed for two independent groups. In this paper, we propose a new statistic and corresponding F-test, which can be applied for three or more groups. The simulation results demonstrate that the proposed method has a smaller interquartile range (IQR) than the usual permutation method and estimates p-values more accurately than its rival.

Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
18 - 4
Pages
439 - 449
Publication Date
2019/12/27
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.191217.001How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Mohsen Salehi
AU  - Adel Mohammadpour
AU  - Kerrie Mengersen
PY  - 2019
DA  - 2019/12/27
TI  - A New F-Test Applicable to Large-Scale Data
JO  - Journal of Statistical Theory and Applications
SP  - 439
EP  - 449
VL  - 18
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.191217.001
DO  - 10.2991/jsta.d.191217.001
ID  - Salehi2019
ER  -