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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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    Cited by:

    1. Hanaki, Nobuyuki & Koriyama, Yukio & Sutan, Angela & Willinger, Marc, 2019. "The strategic environment effect in beauty contest games," Games and Economic Behavior, Elsevier, vol. 113(C), pages 587-610.
    2. Faical Akaichi & Rodolfo M. Nayga & Lawton Lanier Nalley, 2017. "Are there trade-offs in valuation with respect to greenhouse gas emissions, origin and food miles attributes?," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 44(1), pages 3-31.
    3. Koch, Alexander K. & Nafziger, Julia, 2020. "Motivational goal bracketing: An experiment," Journal of Economic Theory, Elsevier, vol. 185(C).
    4. 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.
    5. Cheung, Stephen L. & Coleman, Andrew, 2011. "League-Table Incentives and Price Bubbles in Experimental Asset Markets," IZA Discussion Papers 5704, Institute of Labor Economics (IZA).
    6. 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), Université Côte d'Azur, France.
    7. 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.
    8. 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.
    9. Brütt, Katharina & Schram, Arthur & Sonnemans, Joep, 2020. "Endogenous group formation and responsibility diffusion: An experimental study," Games and Economic Behavior, Elsevier, vol. 121(C), pages 1-31.
    10. 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.
    11. McBride, Michael & Ridinger, Garret, 2021. "Beliefs also make social-norm preferences social," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 765-784.
    12. K. B. S. Huth & L. J. Waldorp & J. Luigjes & A. E. Goudriaan & R. J. Holst & M. Marsman, 2022. "A Note on the Structural Change Test in Highly Parameterized Psychometric Models," Psychometrika, Springer;The Psychometric Society, vol. 87(3), pages 1064-1080, September.
    13. John M Griffin & Jordan Nickerson, 2023. "Are CLO Collateral and Tranche Ratings Disconnected?," Review of Financial Studies, Society for Financial Studies, vol. 36(6), pages 2319-2360.
    14. Christoph Huber & Jürgen Huber, 2019. "Scale matters: risk perception, return expectations, and investment propensity under different scalings," Experimental Economics, Springer;Economic Science Association, vol. 22(1), pages 76-100, March.
    15. 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.
    16. 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.
    17. 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.
    18. Gjedrem, William Gilje & Kvaløy, Ola, 2020. "Relative performance feedback to teams," Labour Economics, Elsevier, vol. 66(C).
    19. Agustín Manresa-Rocamora & Laura Fuertes-Kenneally & Carles Blasco-Peris & Noemí Sempere-Ruiz & José Manuel Sarabia & Vicente Climent-Paya, 2023. "Is the Verification Phase a Suitable Criterion for the Determination of Maximum Oxygen Uptake in Patients with Heart Failure and Reduced Ejection Fraction? A Validation Study," IJERPH, MDPI, vol. 20(4), pages 1-10, February.
    20. Stephen L. Cheung & Andrew Coleman, 2014. "Relative Performance Incentives and Price Bubbles in Experimental Asset Markets," Southern Economic Journal, John Wiley & Sons, vol. 81(2), pages 345-363, October.
    21. Zaunbrecher, Henrik & Riedl, Arno, 2016. "Social Identity and Group Contests," Research Memorandum 024, Maastricht University, Graduate School of Business and Economics (GSBE).

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