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On Nonparametric Repeated Measures Analysis of Variance

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Classification in the Information Age

Abstract

In medicine, there are often experiments characterized by repeated measurements on the same object. A well-known application are dose-finding studies where we try to prove a treatment effect in different doses. Establishing clinical trials in cross-over design, we have to prove both a dose and a group effect of the treatments as well as possible interactions between them. In principal, multivariate repeated measures analysis of variance (RM-ANOVA) can be used for the analysis of such a data structure (N.H. Timm (1980)). Difficulties arise if there are only a few observations available. In this case a parametric analysis of variance can not be applied anymore and we have to look for alternatives. In a first attempt and for reasons of easy practicability we applied the method of data alignment (Hildebrand (1980)) which consists of an adjustment of those factors not regarded in the current analysis and a following ranked analysis of variance.

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References

  • AZZALINI, A. (1995): Topics in repeated measurements analysis: ANOVA with correlated data. Technical report, University of Padua.

    Google Scholar 

  • BUDDE, M. and BAUER, P. (1989): Multiple test procedures in clinical dose finding studies. JASA, 84 (407): 792–796.

    Google Scholar 

  • ERDFELDER, E. and BREDENKAMP, J. (1984): Kritik mehrfaktorieller Varianzanalysen. Psychologische Beitrge, 26: 263–282.

    Google Scholar 

  • HILDEBRAND, H. (1980): Asymptotisch verteilungsfreie Tests in multivariaten linearen Modellen. In W. Köpcke and K. Uberla (Hrsg.) Biometrie–heute und morgen, pages 344–349. Springer, Berlin.

    Chapter  Google Scholar 

  • HOLM, S. (1979): A simple sequentially rejective multiple test procedure. Scandinavian Journal of Statistics, 6: 65–70.

    Google Scholar 

  • JONES, B.J. and KENWARD, G. (1990): Design and Analysis of Cross-Over Trials. Chapman and Hall, London.

    Google Scholar 

  • TIMM, N.H. (1980): Multivariate analysis of variance of repeated measurements. In P.R. Krishnaiah (ed.), Handbook of Statistics, 41–87. North Holland Publ. Comp., Amsterdam, New York, Oxford.

    Google Scholar 

  • WERNECKE, K.-D. (1993): Jackknife, Bootstrap und Cross-Validation: Eine Einführung in Methoden der wiederholten Stichprobenziehung. Allgemeines Statistisches Archiv, 77: 32–59.

    Google Scholar 

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© 1999 Springer-Verlag Berlin · Heidelberg

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Wernecke, KD., Kalb, G. (1999). On Nonparametric Repeated Measures Analysis of Variance. In: Gaul, W., Locarek-Junge, H. (eds) Classification in the Information Age. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60187-3_65

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  • DOI: https://doi.org/10.1007/978-3-642-60187-3_65

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65855-9

  • Online ISBN: 978-3-642-60187-3

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