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

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

Abstract

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
• Publicly Available 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
• Public URL: https://uwe-repository.worktribe.com/output/9948164
• Publisher URL: http://www.jaqm.ro/issues/volume-16,issue-3/0_BBD.PHP
• Related Public URLs: https://www.jaqm.ro/