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Nonparametric methods in factorial designs

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  • Edgar Brunner
  • Madan Puri

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  • Edgar Brunner & Madan Puri, 2001. "Nonparametric methods in factorial designs," Statistical Papers, Springer, vol. 42(1), pages 1-52, January.
    • Handle: RePEc:spr:stpapr:v:42:y:2001:i:1:p:1-52
    DOI: 10.1007/s003620000039
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    References listed on IDEAS

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    1. E. Brunner & N. Neumann, 1986. "Rank Tests In 2x2 Designs," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 40(4), pages 251-272, December.
    2. Thompson, G. L., 1990. "Asymptotic distribution of rank statistics under dependencies with multivariate application," Journal of Multivariate Analysis, Elsevier, vol. 33(2), pages 183-211, May.
    3. Brunner, Edgar & Munzel, Ulrich & Puri, Madan L., 1999. "Rank-Score Tests in Factorial Designs with Repeated Measures," Journal of Multivariate Analysis, Elsevier, vol. 70(2), pages 286-317, August.
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    Citations

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    Cited by:

    1. Fan, Chunpeng & Zhang, Donghui, 2014. "Wald-type rank tests: A GEE approach," Computational Statistics & Data Analysis, Elsevier, vol. 74(C), pages 1-16.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Friedrich, Sarah & Pauly, Markus, 2018. "MATS: Inference for potentially singular and heteroscedastic MANOVA," Journal of Multivariate Analysis, Elsevier, vol. 165(C), pages 166-179.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Sattler, Paavo & Zimmermann, Georg, 2024. "Choice of the hypothesis matrix for using the Wald-type-statistic," Statistics & Probability Letters, Elsevier, vol. 208(C).
    17. 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.
    18. 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.
    19. 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.
    20. 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.

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