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Nonparametric methods for paired samples

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  • U. Munzel

Abstract

The small sample and asymptotic properties of nonparametric tests for paired sampled are examined. Linear rank statistics are compared with the paired t‐test and the Wilcoxon‐signed‐rank test in simulation studies. From a minimax point of view the linear rank statistics turn out to be the best. Moreover, it is illustrated that the Wilcoxon‐signed‐rank test should not be used if it is not clear that the differences of the pairs have a symmetric distribution.

Suggested Citation

  • U. Munzel, 1999. "Nonparametric methods for paired samples," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 53(3), pages 277-286, November.
    • Handle: RePEc:bla:stanee:v:53:y:1999:i:3:p:277-286
    DOI: 10.1111/1467-9574.00112
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    Cited by:

    1. Martínez-Camblor, Pablo, 2010. "Nonparametric k-sample test based on kernel density estimator for paired design," Computational Statistics & Data Analysis, Elsevier, vol. 54(8), pages 2035-2045, August.
    2. Kimihiro Noguchi & Fernando Marmolejo-Ramos, 2016. "Assessing Equality of Means Using the Overlap of Range-Preserving Confidence Intervals," The American Statistician, Taylor & Francis Journals, vol. 70(4), pages 325-334, October.
    3. Konietschke, F. & Harrar, S.W. & Lange, K. & Brunner, E., 2012. "Ranking procedures for matched pairs with missing data — Asymptotic theory and a small sample approximation," Computational Statistics & Data Analysis, Elsevier, vol. 56(5), pages 1090-1102.
    4. Martínez-Camblor, Pablo & Corral, Norberto, 2011. "Repeated measures analysis for functional data," Computational Statistics & Data Analysis, Elsevier, vol. 55(12), pages 3244-3256, December.
    5. Konietschke, F. & Bathke, A.C. & Hothorn, L.A. & Brunner, E., 2010. "Testing and estimation of purely nonparametric effects in repeated measures designs," Computational Statistics & Data Analysis, Elsevier, vol. 54(8), pages 1895-1905, August.
    6. Michael G. Akritas & Jouni Kuha & D. Wayne Osgood, 2002. "A Nonparametric Approach to Matched Pairs with Missing Data," Sociological Methods & Research, , vol. 30(3), pages 425-454, February.

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