Ben Derrick Ben.Derrick@uwe.ac.uk
Senior Lecturer
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
Authors
Paul White Paul.White@uwe.ac.uk
Professor in Applied Statistics
Deirdre Toher Deirdre.Toher@uwe.ac.uk
Senior Lecturer in 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Peer Reviewed | Not Peer Reviewed |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 |
Files
INT solution to the partially overlapping samples problem.pdf
(275 Kb)
PDF
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