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An inverse normal transformation solution for the comparison of two samples that contain both paired observations and independent observations

Derrick, Ben; White, Paul; Toher, Deirdre

An inverse normal transformation solution for the comparison of two samples that contain both paired observations and independent observations Thumbnail


Authors

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



Abstract

Inverse normal transformations applied to the partially overlapping samples t-tests by Derrick et.al. (2017) are considered for their Type I error robustness and power. The inverse normal transformation solutions proposed in this paper are shown to maintain Type I error robustness. For increasing degrees of skewness they also offer improved power relative to the parametric partially overlapping samples t-tests. The power when using inverse normal transformation solutions are comparable to rank based non-parametric solutions.

Citation

Derrick, B., White, P., & Toher, D. An inverse normal transformation solution for the comparison of two samples that contain both paired observations and independent observations

Journal Article Type Article
Publicly Available Date Mar 28, 2024
Peer Reviewed Not Peer Reviewed
Keywords inverse, normal, transformation, solution, comparison, samples, paired observations, independent observations
Public URL https://uwe-repository.worktribe.com/output/883340

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