How to compare the means of two samples that include paired observations and independent observations: A companion to Derrick, Russ, Toher and White (2017)

Standard approaches for comparing the means of two samples, comprising both paired observations and independent observations, involve the discarding of valuable information. An alternative test which uses all of the available data, is the partially overlapping samples t-test. Two variations of the t...

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Main Authors: Derrick, Ben, Toher, Deirdre, White, Paul
Format: Article
Language:English
Published: Université d'Ottawa 2017-05-01
Series:Tutorials in Quantitative Methods for Psychology
Subjects:
Online Access:http://www.tqmp.org/RegularArticles/vol13-2/p120/p120.pdf
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author Derrick, Ben
Toher, Deirdre
White, Paul
author_facet Derrick, Ben
Toher, Deirdre
White, Paul
author_sort Derrick, Ben
collection DOAJ
description Standard approaches for comparing the means of two samples, comprising both paired observations and independent observations, involve the discarding of valuable information. An alternative test which uses all of the available data, is the partially overlapping samples t-test. Two variations of the test are available, one assuming equal variances, and one assuming separate variances. Issues with standard procedures, and considerations for choosing appropriate tests in the partially overlapping scenario are discussed. An example with details of how to apply the partially overlapping samples t-test is given along with an R package that implement these new tests.
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spelling doaj.art-fd75432d3eb340cc8cbf5f8372adba1c2022-12-21T23:52:35ZengUniversité d'OttawaTutorials in Quantitative Methods for Psychology1913-41262017-05-0113212012610.20982/tqmp.13.2.p120How to compare the means of two samples that include paired observations and independent observations: A companion to Derrick, Russ, Toher and White (2017)Derrick, BenToher, DeirdreWhite, PaulStandard approaches for comparing the means of two samples, comprising both paired observations and independent observations, involve the discarding of valuable information. An alternative test which uses all of the available data, is the partially overlapping samples t-test. Two variations of the test are available, one assuming equal variances, and one assuming separate variances. Issues with standard procedures, and considerations for choosing appropriate tests in the partially overlapping scenario are discussed. An example with details of how to apply the partially overlapping samples t-test is given along with an R package that implement these new tests.http://www.tqmp.org/RegularArticles/vol13-2/p120/p120.pdfPartially overlapping samples; incomplete observations; Welch\IeC {\textquoteright }s test; independent samples; paired samples; equality of means R
spellingShingle Derrick, Ben
Toher, Deirdre
White, Paul
How to compare the means of two samples that include paired observations and independent observations: A companion to Derrick, Russ, Toher and White (2017)
Tutorials in Quantitative Methods for Psychology
Partially overlapping samples; incomplete observations; Welch\IeC {\textquoteright }s test; independent samples; paired samples; equality of means
R
title How to compare the means of two samples that include paired observations and independent observations: A companion to Derrick, Russ, Toher and White (2017)
title_full How to compare the means of two samples that include paired observations and independent observations: A companion to Derrick, Russ, Toher and White (2017)
title_fullStr How to compare the means of two samples that include paired observations and independent observations: A companion to Derrick, Russ, Toher and White (2017)
title_full_unstemmed How to compare the means of two samples that include paired observations and independent observations: A companion to Derrick, Russ, Toher and White (2017)
title_short How to compare the means of two samples that include paired observations and independent observations: A companion to Derrick, Russ, Toher and White (2017)
title_sort how to compare the means of two samples that include paired observations and independent observations a companion to derrick russ toher and white 2017
topic Partially overlapping samples; incomplete observations; Welch\IeC {\textquoteright }s test; independent samples; paired samples; equality of means
R
url http://www.tqmp.org/RegularArticles/vol13-2/p120/p120.pdf
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