Journal of Statistical Theory and Applications

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
1 Department of Statistics, University of Qom, Qom, Iran
2 Department of Statistics, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
3 Science 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
https://doi.org/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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Journal
Journal of Statistical Theory and Applications
Volume-Issue
18 - 4
Pages
439 - 449
Publication Date
2019/12
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/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

TY  - JOUR
AU  - Mohsen Salehi
AU  - Adel Mohammadpour
AU  - Kerrie Mengersen
PY  - 2019
DA  - 2019/12
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  - https://doi.org/10.2991/jsta.d.191217.001
ID  - Salehi2019
ER  -