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Small Sample Properties of the Wilcoxon Signed Rank Test with Discontinuous and Dependent Observations

Author

Listed:
  • Nadine Chlass

    (Max Planck Institute of Economics, Strategic Interaction Group)

  • Jens J. Krueger

    (Friedrich-Schiller-University Jena, Department of Economics)

Abstract

This Monte-Carlo study investigates sensitivity of the Wilcoxon signed rank test to certain assumption violations in small samples. Emphasis is put on within-sample-dependence, between-sample dependence, and the presence of ties. Our results show that both assumption violations induce severe size distortions and entail power losses. Surprisingly, these consequences do vary substantially with other properties the data may display. Results provided are particularly relevant for experimental settings where ties and within-sample dependence are frequently observed.

Suggested Citation

  • Nadine Chlass & Jens J. Krueger, 2007. "Small Sample Properties of the Wilcoxon Signed Rank Test with Discontinuous and Dependent Observations," Jena Economics Research Papers 2007-032, Friedrich-Schiller-University Jena.
    • Handle: RePEc:jrp:jrpwrp:2007-032
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    File URL: https://oweb.b67.uni-jena.de/Papers/jerp2007/wp_2007_032.pdf
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    References listed on IDEAS

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    1. Dennis A. V. Dittrich & Werner Güth & Martin G. Kocher & Paul Pezanis‐Christou, 2012. "Loss Aversion and Learning to Bid," Economica, London School of Economics and Political Science, vol. 79(314), pages 226-257, April.
    2. Hisashi Tanizaki, 1997. "Power comparison of non-parametric tests: Small-sample properties from Monte Carlo experiments," Journal of Applied Statistics, Taylor & Francis Journals, vol. 24(5), pages 603-632.
    3. Cragg, John G, 1983. "More Efficient Estimation in the Presence of Heteroscedasticity of Unknown Form," Econometrica, Econometric Society, vol. 51(3), pages 751-763, May.
    4. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    5. MacKinnon, James G, 1994. "Approximate Asymptotic Distribution Functions for Unit-Root and Cointegration Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 167-176, April.
    6. Nick Feltovich, 2003. "Nonparametric Tests of Differences in Medians: Comparison of the Wilcoxon–Mann–Whitney and Robust Rank-Order Tests," Experimental Economics, Springer;Economic Science Association, vol. 6(3), pages 273-297, November.
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    Cited by:

    1. Giulioni, Gianfranco & Bucciarelli, Edgardo, 2011. "Agents’ ability to manage information in centralized markets: Comparing two wholesale fish markets," Journal of Economic Behavior & Organization, Elsevier, vol. 80(1), pages 34-49.

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    More about this item

    Keywords

    Wilcoxon signed rank test; ties; dependent observations; size and power;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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