A Comprehensive Monte Carlo Simulation Study on Multiple Comparison Methods after ANOVA

Multiple comparison methods are applied to control the type I error rate at the nominal level. In this study, we investigate the performance of multiple comparison methods after analysis of variance (ANOVA) is implemented under different conditions. We include Bonferroni, Holm, Hochberg, Hommel, Ben...

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Main Authors: Hanife Avcı, Osman Dağ
Format: Article
Language:English
Published: Çanakkale Onsekiz Mart University 2024-09-01
Series:Journal of Advanced Research in Natural and Applied Sciences
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/3697600
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author Hanife Avcı
Osman Dağ
author_facet Hanife Avcı
Osman Dağ
author_sort Hanife Avcı
collection DOAJ
description Multiple comparison methods are applied to control the type I error rate at the nominal level. In this study, we investigate the performance of multiple comparison methods after analysis of variance (ANOVA) is implemented under different conditions. We include Bonferroni, Holm, Hochberg, Hommel, Benjamini-Hochberg (BH), and Benjamini-Yekutieli (BY) correction methods. Monte-Carlo simulation study is applied to assess their performances under different patterns, including sample size and group number combinations. Wide inferences are drawn on considered methods, and suggestions are provided for selecting appropriate methods. Moreover, the methods are implemented on three different types of real-life data sets to emphasize the importance of these correction methods in the research.
format Article
id doaj-art-2f99ffde7aff4f6bacff7e4e80f35096
institution Kabale University
issn 2757-5195
language English
publishDate 2024-09-01
publisher Çanakkale Onsekiz Mart University
record_format Article
series Journal of Advanced Research in Natural and Applied Sciences
spelling doaj-art-2f99ffde7aff4f6bacff7e4e80f350962025-02-05T18:13:03ZengÇanakkale Onsekiz Mart UniversityJournal of Advanced Research in Natural and Applied Sciences2757-51952024-09-0110349350510.28979/jarnas.1429315453A Comprehensive Monte Carlo Simulation Study on Multiple Comparison Methods after ANOVAHanife Avcı0https://orcid.org/0000-0002-1405-9754Osman Dağ1https://orcid.org/0000-0002-1750-8789HACETTEPE UNIVERSITYHACETTEPE UNIVERSITY, SCHOOL OF MEDICINE, DEPARTMENT OF BASIC MEDICAL SCIENCES, DEPARTMENT OF BIOSTATISTICSMultiple comparison methods are applied to control the type I error rate at the nominal level. In this study, we investigate the performance of multiple comparison methods after analysis of variance (ANOVA) is implemented under different conditions. We include Bonferroni, Holm, Hochberg, Hommel, Benjamini-Hochberg (BH), and Benjamini-Yekutieli (BY) correction methods. Monte-Carlo simulation study is applied to assess their performances under different patterns, including sample size and group number combinations. Wide inferences are drawn on considered methods, and suggestions are provided for selecting appropriate methods. Moreover, the methods are implemented on three different types of real-life data sets to emphasize the importance of these correction methods in the research.https://dergipark.org.tr/en/download/article-file/3697600anovamonte carlo simulationpairwise comparisontype i error ratevariance homogeneity
spellingShingle Hanife Avcı
Osman Dağ
A Comprehensive Monte Carlo Simulation Study on Multiple Comparison Methods after ANOVA
Journal of Advanced Research in Natural and Applied Sciences
anova
monte carlo simulation
pairwise comparison
type i error rate
variance homogeneity
title A Comprehensive Monte Carlo Simulation Study on Multiple Comparison Methods after ANOVA
title_full A Comprehensive Monte Carlo Simulation Study on Multiple Comparison Methods after ANOVA
title_fullStr A Comprehensive Monte Carlo Simulation Study on Multiple Comparison Methods after ANOVA
title_full_unstemmed A Comprehensive Monte Carlo Simulation Study on Multiple Comparison Methods after ANOVA
title_short A Comprehensive Monte Carlo Simulation Study on Multiple Comparison Methods after ANOVA
title_sort comprehensive monte carlo simulation study on multiple comparison methods after anova
topic anova
monte carlo simulation
pairwise comparison
type i error rate
variance homogeneity
url https://dergipark.org.tr/en/download/article-file/3697600
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