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The impact of an extreme observation in a paired samples design

Derrick, Ben; Broad, Antonia; Toher, Deirdre; White, Paul

Authors

Antonia Broad

Paul White Paul.White@uwe.ac.uk
Associate 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.

Journal Article Type Article
Publication Date Dec 31, 2017
Journal MetodoloŇ°ki Zvezki - Advances in Methodology and Statistics
Print ISSN 1854-0031
Peer Reviewed Peer Reviewed
Volume 14
Issue 2
Pages 1-17
APA6 Citation Derrick, B., Broad, A., Toher, D., & White, P. (2017). The impact of an extreme observation in a paired samples design
Keywords impact, extreme, observation, paired samples design
Publisher URL http://www.stat-d.si/mz/

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