What is the proper way to apply the multiple comparison test?

Multiple comparisons tests (MCTs) are performed several times on the mean of experimental conditions. When the null hypothesis is rejected in a validation, MCTs are performed when certain experimental conditions have a statistically significant mean difference or there is a specific aspect between t...

Full description

Bibliographic Details
Main Authors: Sangseok Lee, Dong Kyu Lee
Format: Article
Language:English
Published: Korean Society of Anesthesiologists 2018-10-01
Series:Korean Journal of Anesthesiology
Subjects:
Online Access:http://ekja.org/upload/pdf/kja-d-18-00242.pdf
_version_ 1818405939496091648
author Sangseok Lee
Dong Kyu Lee
author_facet Sangseok Lee
Dong Kyu Lee
author_sort Sangseok Lee
collection DOAJ
description Multiple comparisons tests (MCTs) are performed several times on the mean of experimental conditions. When the null hypothesis is rejected in a validation, MCTs are performed when certain experimental conditions have a statistically significant mean difference or there is a specific aspect between the group means. A problem occurs if the error rate increases while multiple hypothesis tests are performed simultaneously. Consequently, in an MCT, it is necessary to control the error rate to an appropriate level. In this paper, we discuss how to test multiple hypotheses simultaneously while limiting type I error rate, which is caused by α inflation. To choose the appropriate test, we must maintain the balance between statistical power and type I error rate. If the test is too conservative, a type I error is not likely to occur. However, concurrently, the test may have insufficient power resulted in increased probability of type II error occurrence. Most researchers may hope to find the best way of adjusting the type I error rate to discriminate the real differences between observed data without wasting too much statistical power. It is expected that this paper will help researchers understand the differences between MCTs and apply them appropriately.
first_indexed 2024-12-14T09:04:01Z
format Article
id doaj.art-cda538d50e2c46929c29939408af9251
institution Directory Open Access Journal
issn 2005-6419
2005-7563
language English
last_indexed 2024-12-14T09:04:01Z
publishDate 2018-10-01
publisher Korean Society of Anesthesiologists
record_format Article
series Korean Journal of Anesthesiology
spelling doaj.art-cda538d50e2c46929c29939408af92512022-12-21T23:08:45ZengKorean Society of AnesthesiologistsKorean Journal of Anesthesiology2005-64192005-75632018-10-0171535336010.4097/kja.d.18.002428476What is the proper way to apply the multiple comparison test?Sangseok Lee0Dong Kyu Lee1 Department of Anesthesiology and Pain Medicine, Sanggye Paik Hospital, Inje University College of Medicine, Seoul, Korea Department of Anesthesiology and Pain Medicine, Guro Hospital, Korea University School of Medicine, Seoul, KoreaMultiple comparisons tests (MCTs) are performed several times on the mean of experimental conditions. When the null hypothesis is rejected in a validation, MCTs are performed when certain experimental conditions have a statistically significant mean difference or there is a specific aspect between the group means. A problem occurs if the error rate increases while multiple hypothesis tests are performed simultaneously. Consequently, in an MCT, it is necessary to control the error rate to an appropriate level. In this paper, we discuss how to test multiple hypotheses simultaneously while limiting type I error rate, which is caused by α inflation. To choose the appropriate test, we must maintain the balance between statistical power and type I error rate. If the test is too conservative, a type I error is not likely to occur. However, concurrently, the test may have insufficient power resulted in increased probability of type II error occurrence. Most researchers may hope to find the best way of adjusting the type I error rate to discriminate the real differences between observed data without wasting too much statistical power. It is expected that this paper will help researchers understand the differences between MCTs and apply them appropriately.http://ekja.org/upload/pdf/kja-d-18-00242.pdfalpha inflationanalysis of variancebonferronidunnettmultiple comparisonschefféstatisticstukeytype i errortype ii error
spellingShingle Sangseok Lee
Dong Kyu Lee
What is the proper way to apply the multiple comparison test?
Korean Journal of Anesthesiology
alpha inflation
analysis of variance
bonferroni
dunnett
multiple comparison
scheffé
statistics
tukey
type i error
type ii error
title What is the proper way to apply the multiple comparison test?
title_full What is the proper way to apply the multiple comparison test?
title_fullStr What is the proper way to apply the multiple comparison test?
title_full_unstemmed What is the proper way to apply the multiple comparison test?
title_short What is the proper way to apply the multiple comparison test?
title_sort what is the proper way to apply the multiple comparison test
topic alpha inflation
analysis of variance
bonferroni
dunnett
multiple comparison
scheffé
statistics
tukey
type i error
type ii error
url http://ekja.org/upload/pdf/kja-d-18-00242.pdf
work_keys_str_mv AT sangseoklee whatistheproperwaytoapplythemultiplecomparisontest
AT dongkyulee whatistheproperwaytoapplythemultiplecomparisontest