The Generalized ANOVA: A Classic Song Sung with Modern Lyrics

Hui Zhang; Xin Tu

doi:10.1007/978-3-030-34675-1_15

The Generalized ANOVA: A Classic Song Sung with Modern Lyrics

Hui Zhang^*, Xin Tu

^*Corresponding author for this work

Preventive Medicine

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Scopus citations

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.

Original language	English (US)
Title of host publication	Statistical Modeling for Biological Systems
Subtitle of host publication	In Memory of Andrei Yakovlev
Publisher	Springer International Publishing
Pages	281-287
Number of pages	7
ISBN (Electronic)	9783030346751
ISBN (Print)	9783030346744
DOIs	https://doi.org/10.1007/978-3-030-34675-1_15
State	Published - Jan 1 2020

Keywords

Count response
Missing data
Overdispersion

ASJC Scopus subject areas

General Medicine
General Agricultural and Biological Sciences
General Biochemistry, Genetics and Molecular Biology
General Health Professions

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10.1007/978-3-030-34675-1_15

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The Generalized ANOVA: A Classic Song Sung with Modern Lyrics

Abstract

Keywords

ASJC Scopus subject areas

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