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The Generalized ANOVA: A Classic Song Sung with Modern Lyrics

In: Statistical Modeling for Biological Systems

Author

Listed:
  • Hui Zhang

    (North Western University Chicago, Feinberg School of Medicine)

  • Xin Tu

    (UC San Diego School of Medicine, Division of Biostatistics and Bioinformatics)

Abstract

The widely used analysis of variance (ANOVA) suffers from a series of flaws that not only raise questions about conclusions drawn from its use, but also undercut its many potential applications to modern clinical and observational research. In this paper, we propose a generalized ANOVA model to address the limitations of this popular approach so that it can be applied to many immediate as well as potential applications ranging from an age-old technical issue in applying ANOVA to cutting-edge methodological challenges. By integrating the classic theory of U-statistics, we develop distribution-free inference for this new class of models to address missing data for longitudinal clinical trials and cohort studies.

Suggested Citation

  • Hui Zhang & Xin Tu, 2020. "The Generalized ANOVA: A Classic Song Sung with Modern Lyrics," Springer Books, in: Anthony Almudevar & David Oakes & Jack Hall (ed.), Statistical Modeling for Biological Systems, pages 281-287, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-34675-1_15
    DOI: 10.1007/978-3-030-34675-1_15
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