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Ordinal Logistic Regression as an alternative analysis strategy for the comparison of two independent samples

Bilski, Bartlomiej; Derrick, Ben; Toher, Deirdre; White, Paul


Bartlomiej Bilski

Paul White
Professor in Applied Statistics


The two group between subjects design is pervasive with analyses often performed using the Mann Whitney Rank Sum test or using the Welch variant of the t-test. Using simulation it is shown that a dummy variable ordinal logistic regression (OLR) model provides an alternative analysis strategy for n >= 16 per group retaining Type I error robustness for both continuous and tied data. OLR is demonstrated to have comparable power to the Mann Whitney test under non-normal alternatives and with comparable power to the Welch t-test for normal distributed data. This opens the possibility for the ordinal logistic model to be a general analysis technique for higher order designs.

Journal Article Type Article
Acceptance Date Sep 4, 2022
Publication Date Sep 30, 2021
Deposit Date Sep 22, 2022
Journal Journal of Applied Quantitative Methods
Electronic ISSN 1842-4562
Peer Reviewed Peer Reviewed
Volume 16
Issue 3
Keywords Ordinal logistic regression, Mann Whitney test, Welch t-test
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