IDEAS home Printed from https://ideas.repec.org/a/spr/compst/v40y2025i8d10.1007_s00180-025-01620-7.html

Finding exclusive peak with permutation testing

Author

Listed:
  • Rosa Arboretti

    (University of Padua)

  • Elena Barzizza

    (University of Padua)

  • Riccardo Ceccato

    (University of Padua)

Abstract

Comparing distributions is a crucial part of statistical work and supports decision-making across diverse fields. Various statistical tools address the task, evaluating central tendency, shape, and dispersion. This paper introduces a novel permutation-based methodology to compare distributions from a different perspective. In real-world scenarios, the objective may be to identify a product or service that clearly outperforms all competitors, if such an entity exists. To achieve this, we have implemented a method to compare exclusive peaks. Our approach relies on NonParametric Combination methodology and offers flexibility without distributional assumptions, making it particularly suitable to multivariate problems. In this paper we outline the methodology, conduct simulation studies, and conclude with insights for practical applications.

Suggested Citation

  • Rosa Arboretti & Elena Barzizza & Riccardo Ceccato, 2025. "Finding exclusive peak with permutation testing," Computational Statistics, Springer, vol. 40(8), pages 4231-4246, November.
    • Handle: RePEc:spr:compst:v:40:y:2025:i:8:d:10.1007_s00180-025-01620-7
    DOI: 10.1007/s00180-025-01620-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00180-025-01620-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00180-025-01620-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Goldman, Matt & Kaplan, David M., 2018. "Comparing distributions by multiple testing across quantiles or CDF values," Journal of Econometrics, Elsevier, vol. 206(1), pages 143-166.
    2. Markus Pauly & Edgar Brunner & Frank Konietschke, 2015. "Asymptotic permutation tests in general factorial designs," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 77(2), pages 461-473, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Smaga, Łukasz, 2015. "Wald-type statistics using {2}-inverses for hypothesis testing in general factorial designs," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 215-220.
    2. Federico Ferraccioli & Laura M. Sangalli & Livio Finos, 2023. "Nonparametric tests for semiparametric regression models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 32(3), pages 1106-1130, September.
    3. Dickhaus, Thorsten & Sirotko-Sibirskaya, Natalia, 2019. "Simultaneous statistical inference in dynamic factor models: Chi-square approximation and model-based bootstrap," Computational Statistics & Data Analysis, Elsevier, vol. 129(C), pages 30-46.
    4. Marinho Bertanha & Eunyi Chung, 2023. "Permutation Tests at Nonparametric Rates," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 118(544), pages 2833-2846, October.
    5. Melo, Grace & Palma, Marco & Chomali, Laura & Ribera, Luis, 2025. "Are experts overoptimistic about the success of market labeling information?," 2025 AAEA & WAEA Joint Annual Meeting, July 27-29, 2025, Denver, CO 360812, Agricultural and Applied Economics Association.
    6. Blemings, Benjamin T. & Bock, Margaret & Scarcioffolo, Alexandre, 2022. "Hoggin' the Road: Negative Road Externalities of Pork Slaughterhouses," 2022 Annual Meeting, July 31-August 2, Anaheim, California 322466, Agricultural and Applied Economics Association.
    7. Meng Yuan & Chunlin Wang & Boxi Lin & Pengfei Li, 2022. "Semiparametric inference on general functionals of two semicontinuous populations," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 74(3), pages 451-472, June.
    8. repec:ags:aaea22:343870 is not listed on IDEAS
    9. H. V. Kulkarni & S. M. Patil, 2021. "Uniformly implementable small sample integrated likelihood ratio test for one-way and two-way ANOVA under heteroscedasticity and normality," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 105(2), pages 273-305, June.
    10. Friedrich, Sarah & Brunner, Edgar & Pauly, Markus, 2017. "Permuting longitudinal data in spite of the dependencies," Journal of Multivariate Analysis, Elsevier, vol. 153(C), pages 255-265.
    11. Stefano Bonnini & Getnet Melak Assegie & Kamila Trzcinska, 2024. "Review about the Permutation Approach in Hypothesis Testing," Mathematics, MDPI, vol. 12(17), pages 1-29, August.
    12. Chung, EunYi & Romano, Joseph P., 2016. "Multivariate and multiple permutation tests," Journal of Econometrics, Elsevier, vol. 193(1), pages 76-91.
    13. Anjana Mondal & Somesh Kumar, 2025. "Testing for trend in two-way heteroscedastic ANCOVA models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 34(3), pages 714-741, September.
    14. Gay, Victor, 2023. "Culture: An Empirical Investigation of Beliefs, Work, and Fertility. A Verification and Reproduction of Fernández and Fogli (American Economic Journal: Macroeconomics, 2009)," Journal of Comments and Replications in Economics (JCRE), ZBW - Leibniz Information Centre for Economics, vol. 2, pages 1-15.
    15. Chung, EunYi & Olivares, Mauricio, 2021. "Permutation test for heterogeneous treatment effects with a nuisance parameter," Journal of Econometrics, Elsevier, vol. 225(2), pages 148-174.
    16. Dennis Dobler & Markus Pauly, 2018. "Bootstrap- and permutation-based inference for the Mann–Whitney effect for right-censored and tied data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(3), pages 639-658, September.
    17. Melo, Grace & Palma, Marco A. & Ribera, Luis A., 2024. "Are experts overoptimistic about the success of food market labeling information?," 2024 Annual Meeting, July 28-30, New Orleans, LA 343870, Agricultural and Applied Economics Association.
    18. Wang, Chunlin & Marriott, Paul & Li, Pengfei, 2017. "Testing homogeneity for multiple nonnegative distributions with excess zero observations," Computational Statistics & Data Analysis, Elsevier, vol. 114(C), pages 146-157.
    19. David M. Kaplan & Matt Goldman, 2015. "Nonparametric inference on conditional quantile differences and linear combinations, using L-statistics," Working Papers 1503, Department of Economics, University of Missouri.
    20. Carlos Madeira, 2025. "How accurately do consumers report their debts in household surveys?," BIS Working Papers 1258, Bank for International Settlements.
    21. Arboretti, Rosa & Barzizza, Elena & Biasetton, Nicoló & Disegna, Marta, 2025. "A review of multivariate permutation tests: Findings and trends," Journal of Multivariate Analysis, Elsevier, vol. 207(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:compst:v:40:y:2025:i:8:d:10.1007_s00180-025-01620-7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.