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2020 | OriginalPaper | Chapter

The Generalized ANOVA: A Classic Song Sung with Modern Lyrics

Authors : Hui Zhang, Xin Tu

Published in: Statistical Modeling for Biological Systems

Publisher: Springer International Publishing

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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.

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Metadata
Title
The Generalized ANOVA: A Classic Song Sung with Modern Lyrics
Authors
Hui Zhang
Xin Tu
Copyright Year
2020
Book
Statistical Modeling for Biological Systems

Print ISBN: 978-3-030-34674-4

Electronic ISBN: 978-3-030-34675-1

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-34675-1_15

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