How Do We Perform a Paired t-Test When We Don’t Know How to Pair?

Michael Grabchak

The American Statistician, 2023, vol. 77, issue 2, 127-133

Abstract: We address the question of how to perform a paired t-test in situations where we do not know how to pair the data. Specifically, we discuss approaches for bounding the test statistic of the paired t-test in a way that allows us to recover the results of this test in some cases. We also discuss the relationship between the paired t-test and the independent samples t-test and what happens if we use the latter to approximate the former. Our results are informed by both theoretical results and a simulation study.

Date: 2023
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DOI: 10.1080/00031305.2022.2115552

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