Ben Derrick Ben.Derrick@uwe.ac.uk
Senior Lecturer
The impact of an extreme observation in a paired samples design
Derrick, Ben; Broad, Antonia; Toher, Deirdre; White, Paul
Authors
Antonia Broad
Deirdre Toher Deirdre.Toher@uwe.ac.uk
Senior Lecturer in Statistics
Paul White Paul.White@uwe.ac.uk
Professor in Applied Statistics
Abstract
The effect of systematically altering the value of a single observation within a paired differences design is considered. A paradox is observed for the paired samples t-test, where increasing the value of an observation in the direction of the true mean difference results in a higher p-value. Using simulation, deviations from robustness of the paired samples t-test is demonstrated, and is contrasted with Yuen’s paired samples t-test and the Wilcoxon signed rank sum test.
Citation
Derrick, B., Broad, A., Toher, D., & White, P. (2017). The impact of an extreme observation in a paired samples design
Journal Article Type | Article |
---|---|
Acceptance Date | Oct 23, 2017 |
Publication Date | Dec 31, 2017 |
Deposit Date | Oct 25, 2017 |
Publicly Available Date | Oct 25, 2017 |
Journal | Metodološki Zvezki - Advances in Methodology and Statistics |
Print ISSN | 1854-0031 |
Peer Reviewed | Peer Reviewed |
Volume | 14 |
Issue | 2 |
Pages | 1-17 |
Keywords | impact, extreme, observation, paired samples design |
Public URL | https://uwe-repository.worktribe.com/output/901648 |
Publisher URL | http://www.stat-d.si/mz/ |
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