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An exact and a Monte Carlo proposal to the Fisher–Pitman permutation tests for paired replicates and for independent samples

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  • Johannes Kaiser

    () (Laboratory for Experimental Economics, University of Bonn)

Abstract

This article concerns the nonparametric Fisher-Pitman tests for paired replicates and independent samples. After outlining the theory of exact tests, I derive Monte Carlo simulations for both of them. Simulations can be useful if one deals with many observations because of the complexity of the algorithms in regard to sample sizes. The tests are designed to be a more powerful alternative to the Wilcoxon signed-rank test and the Wilcoxon-Mann-Whitney rank-sum test if the observations are given on at least an interval scale. The results gained by Monte Carlo versions of the tests are accurate enough in comparison to the exact versions. Finally, I give examples for using both supplemented tests. Copyright 2007 by StataCorp LP.

Suggested Citation

  • Johannes Kaiser, 2007. "An exact and a Monte Carlo proposal to the Fisher–Pitman permutation tests for paired replicates and for independent samples," Stata Journal, StataCorp LP, vol. 7(3), pages 402-412, September.
  • Handle: RePEc:tsj:stataj:v:7:y:2007:i:3:p:402-412
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    Citations

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    Cited by:

    1. Nobuyuki Hanaki & Eizo Akiyama & Ryuichiro Ishikawa, 2017. "Effects of eliciting long-run price forecasts on market dynamics in asset market experiments," Working Papers halshs-01263661, HAL.
    2. Nobuyuki Hanaki & Angela Sutan & Marc Willinger, 2016. "The Strategic Environment Effect in Beauty Contest Games," GREDEG Working Papers 2016-05, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), University of Nice Sophia Antipolis.
    3. Cheung, Stephen L. & Hedegaard, Morten & Palan, Stefan, 2014. "To see is to believe: Common expectations in experimental asset markets," European Economic Review, Elsevier, vol. 66(C), pages 84-96.
    4. Kajackaite, Agne, 2015. "If I close my eyes, nobody will get hurt: The effect of ignorance on performance in a real-effort experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 518-524.
    5. William Gilje Gjedrem & Ola Kvaløy, 2018. "Relative Performance Feedback to Teams," CESifo Working Paper Series 6871, CESifo Group Munich.
    6. repec:oup:erevae:v:44:y:2017:i:1:p:3-31. is not listed on IDEAS
    7. Johannes Kaiser & Michael G. Lacy, 2009. "A general-purpose method for two-group randomization tests," Stata Journal, StataCorp LP, vol. 9(1), pages 70-85, March.
    8. Cheung, Stephen L. & Coleman, Andrew, 2011. "League-Table Incentives and Price Bubbles in Experimental Asset Markets," IZA Discussion Papers 5704, Institute for the Study of Labor (IZA).
    9. Nobuyuki Hanaki & Eizo Akiyama & Ryuichiro Ishikawa, 2016. "A Methodological Note on Eliciting Price Forecasts in Asset Market Experiments," GREDEG Working Papers 2016-02, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), University of Nice Sophia Antipolis.
    10. Chmura, Thorsten & Goerg, Sebastian J. & Weiss, Pia, 2016. "Natural groups and economic characteristics as driving forces of wage discrimination," European Economic Review, Elsevier, vol. 90(C), pages 178-200.
    11. Martin Beckenkamp & Heike Hennig-Schmidt & Frank P. Maier-Rigaud, 2007. "Cooperation in Symmetric and Asymmetric Prisoner's Dilemma Games," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2006_25, Max Planck Institute for Research on Collective Goods.
    12. Zaunbrecher, Henrik & Riedl, Arno, 2016. "Social Identity and Group Contests," Research Memorandum 024, Maastricht University, Graduate School of Business and Economics (GSBE).
    13. Chloé Coq & Henrik Orzen & Sebastian Schwenen, 2017. "Pricing and capacity provision in electricity markets: an experimental study," Journal of Regulatory Economics, Springer, vol. 51(2), pages 123-158, April.

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