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December 2010 ANOVA for longitudinal data with missing values
Song Xi Chen, Ping-Shou Zhong
Ann. Statist. 38(6): 3630-3659 (December 2010). DOI: 10.1214/10-AOS824

Abstract

We carry out ANOVA comparisons of multiple treatments for longitudinal studies with missing values. The treatment effects are modeled semiparametrically via a partially linear regression which is flexible in quantifying the time effects of treatments. The empirical likelihood is employed to formulate model-robust nonparametric ANOVA tests for treatment effects with respect to covariates, the nonparametric time-effect functions and interactions between covariates and time. The proposed tests can be readily modified for a variety of data and model combinations, that encompasses parametric, semiparametric and nonparametric regression models; cross-sectional and longitudinal data, and with or without missing values.

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Song Xi Chen. Ping-Shou Zhong. "ANOVA for longitudinal data with missing values." Ann. Statist. 38 (6) 3630 - 3659, December 2010. https://doi.org/10.1214/10-AOS824

Information

Published: December 2010
First available in Project Euclid: 30 November 2010

zbMATH: 1204.62124
MathSciNet: MR2766863
Digital Object Identifier: 10.1214/10-AOS824

Subjects:
Primary: 62G10
Secondary: 62G09 , 62G20

Keywords: Analysis of variance , empirical likelihood , kernel smoothing , missing at random , Semiparametric model , treatment effects

Rights: Copyright © 2010 Institute of Mathematical Statistics

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Vol.38 • No. 6 • December 2010
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