IDEAS home Printed from https://ideas.repec.org/a/bla/stanee/v67y2013i4p390-396.html
   My bibliography  Save this article

Comments on the paper ‘Type I error and test power of different tests for testing interaction effects in factorial experiments’ by M. Mendes and S. Yigit (Statistica Neerlandica, 2013, pp. 1–26)

Author

Listed:
  • Edgar Brunner
  • Madan L. Puri

Abstract

We give some comments on the paper by Mendes and Yigit where some misleading statements on rank tests have been given. Also, we give some additional important references on the same topic, which are not cited in this paper. By extending the simulations presented in the Mendes and Yigit paper to larger and unequal sample sizes, we demonstrate that the main conclusions are misleading.

Suggested Citation

  • Edgar Brunner & Madan L. Puri, 2013. "Comments on the paper ‘Type I error and test power of different tests for testing interaction effects in factorial experiments’ by M. Mendes and S. Yigit (Statistica Neerlandica, 2013, pp. 1–26)," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 67(4), pages 390-396, November.
    • Handle: RePEc:bla:stanee:v:67:y:2013:i:4:p:390-396
    DOI: 10.1111/stan.12012
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/stan.12012
    Download Restriction: no
    File URL: https://libkey.io/10.1111/stan.12012?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
    ---><---

    References listed on IDEAS

    as
    1. H. Keselman & K. Carriere & Lisa Lix, 1995. "Robust and powerful nonorthogonal analyses," Psychometrika, Springer;The Psychometric Society, vol. 60(3), pages 395-418, September.
    2. Gao, Xin & Alvo, Mayer, 2005. "A Unified Nonparametric Approach for Unbalanced Factorial Designs," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 926-941, September.
    3. Edgar Brunner & Madan Puri, 2001. "Nonparametric methods in factorial designs," Statistical Papers, Springer, vol. 42(1), pages 1-52, January.
    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. Dennis Dobler & Sarah Friedrich & Markus Pauly, 2020. "Nonparametric MANOVA in meaningful effects," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 72(4), pages 997-1022, August.
    2. M. Akritas & A. Stavropoulos & C. Caroni, 2009. "Asymptotic theory of weighted -statistics based on ranks," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 21(2), pages 177-191.
    3. Edgar Brunner & Frank Konietschke & Arne C. Bathke & Markus Pauly, 2021. "Ranks and Pseudo‐ranks—Surprising Results of Certain Rank Tests in Unbalanced Designs," International Statistical Review, International Statistical Institute, vol. 89(2), pages 349-366, August.
    4. Edgar Brunner & Frank Konietschke & Markus Pauly & Madan L. Puri, 2017. "Rank-based procedures in factorial designs: hypotheses about non-parametric treatment effects," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 79(5), pages 1463-1485, November.
    5. Sonja Hahn & Luigi Salmaso, 2017. "A comparison of different synchronized permutation approaches to testing effects in two-level two-factor unbalanced ANOVA designs," Statistical Papers, Springer, vol. 58(1), pages 123-146, March.
    6. Friedrich, Sarah & Pauly, Markus, 2018. "MATS: Inference for potentially singular and heteroscedastic MANOVA," Journal of Multivariate Analysis, Elsevier, vol. 165(C), pages 166-179.
    7. Arne Bathke, 2009. "A unified approach to nonparametric trend tests for dependent and independent samples," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 69(1), pages 17-29, January.
    8. H. Keselman & Rhonda Kowalchuk & Lisa Lix, 1998. "Robust nonorthogonal analyses revisited: An update based on trimmed means," Psychometrika, Springer;The Psychometric Society, vol. 63(2), pages 145-163, June.
    9. Gunawardana, Asanka & Konietschke, Frank, 2019. "Nonparametric multiple contrast tests for general multivariate factorial designs," Journal of Multivariate Analysis, Elsevier, vol. 173(C), pages 165-180.
    10. Bathke, Arne C. & Harrar, Solomon W. & Madden, Laurence V., 2008. "How to compare small multivariate samples using nonparametric tests," Computational Statistics & Data Analysis, Elsevier, vol. 52(11), pages 4951-4965, July.
    11. Jan De Neve & Olivier Thas, 2015. "A Regression Framework for Rank Tests Based on the Probabilistic Index Model," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(511), pages 1276-1283, September.
    12. Oleg Museyko & Robert Percy Marshall & Jing Lu & Andreas Hess & Georg Schett & Michael Amling & Willi A. Kalender & Klaus Engelke, 2015. "Registration of 2D histological sections with 3D micro-CT datasets from small animal vertebrae and tibiae," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 18(15), pages 1658-1673, November.
    13. Fan, Chunpeng & Zhang, Donghui, 2014. "Wald-type rank tests: A GEE approach," Computational Statistics & Data Analysis, Elsevier, vol. 74(C), pages 1-16.
    14. Kandianos Emmanouil Sakalidis & Stein Gerrit Paul Menting & Florentina Johanna Hettinga, 2023. "The Role of Cognition and Social Factors in Competition: How Do People with Intellectual Disabilities Respond to Opponents?," IJERPH, MDPI, vol. 20(3), pages 1-14, February.
    15. Friedrich, Sarah & Konietschke, Frank & Pauly, Markus, 2017. "A wild bootstrap approach for nonparametric repeated measurements," Computational Statistics & Data Analysis, Elsevier, vol. 113(C), pages 38-52.
    16. Denis A. Shah & Laurence V. Madden, 2013. "A comment on Mendeş and Yiğit (2013), ‘Type I error and test power of different tests for testing interaction effects in factorial experiments’, Statistica Neerlandica, 67:1–26," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 67(4), pages 397-399, November.
    17. 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.
    18. Wiltrud Kuhlisch & Magnus Roos & Jörg Rothe & Joachim Rudolph & Björn Scheuermann & Dietrich Stoyan, 2016. "A statistical approach to calibrating the scores of biased reviewers of scientific papers," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 79(1), pages 37-57, January.
    19. Debajit Chatterjee & Uttam Bandyopadhyay, 2019. "Testing in nonparametric ANCOVA model based on ridit reliability functional," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 71(2), pages 327-364, April.
    20. Rokhsareh Khashtabeh & Morteza Akbari & Mahdi Kolahi & Ali Talebanfard, 2021. "Assessing the effects of desertification control projects using socio-economic indicators in the arid regions of eastern Iran," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(7), pages 10455-10469, July.

    More about this item

    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:bla:stanee:v:67:y:2013:i:4:p:390-396. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0039-0402 .

    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.