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

Derrick, Ben; Toher, Deirdre; White, Paul

Authors

Paul White Paul.White@uwe.ac.uk
Associate Professor in Applied Statistics



Abstract

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.

Citation

Derrick, B., Toher, D., & White, P. (2017). How to compare the means of two samples that include paired observations and independent observations: A companion to Derrick, Russ, Toher and White (2017). Quantitative Methods for Psychology, 13(2), 120-126. https://doi.org/10.20982/tqmp.13.2.p120

Journal Article Type Article
Acceptance Date Apr 29, 2017
Publication Date Jun 1, 2017
Journal The Quantitative Methods in Psychology
Print ISSN 2292-1354
Publisher University of Ottawa, School of Psychology
Peer Reviewed Peer Reviewed
Volume 13
Issue 2
Pages 120-126
DOI https://doi.org/10.20982/tqmp.13.2.p120
Keywords partially overlapping samples, incomplete observations, Welch’s test, independent samples t-test, paired samples t-test, equality of means
Publisher URL http://dx.doi.org/10.20982/tqmp.13.2.p120