ANOVA FOR LONGITUDINAL DATA WITH MISSING VALUES

被引：9

作者：

Chen, Song Xi ^{[1
,2
]}

Zhong, Ping-Shou ^{[1
]}

机构：

[1] Iowa State Univ, Dept Stat, Ames, IA 50011 USA

[2] Peking Univ, Ctr Stat Sci, Guanghua Sch Management, Beijing 100871, Peoples R China

来源：

ANNALS OF STATISTICS | 2010年 / 38卷 / 06期

关键词：

Analysis of variance; empirical likelihood; kernel smoothing; missing at random; semiparametric model; treatment effects; SEMIPARAMETRIC REGRESSION-ANALYSIS; VARYING-COEFFICIENT MODEL; EMPIRICAL LIKELIHOOD; BOOTSTRAP; TESTS;

D O I：

10.1214/10-AOS824

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：3630 / 3659

页数：30

共 49 条

[1] [Anonymous], 2004, Applied Longitudinal Analysis
[2] Empirical likelihood tests for two-sample problems via nonparametric density estimation
Cao, R
Van Keilegom, I
[J]. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2006, 34 (01): : 61 - 77
[3] Improving semiparametric estimation by using surrogate data
Chen, Song Xi
Leung, Denis H. Y.
Qin, Jing
[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2008, 70 : 803 - 823
[4] Chen SX, 2009, TEST-SPAIN, V18, P415, DOI 10.1007/s11749-009-0159-5
[5] On Bartlett correction of empirical likelihood in the presence of nuisance parameters
Chen, SX
Cui, HJ
[J]. BIOMETRIKA, 2006, 93 (01) : 215 - 220
[6] ON THE CALCULATION OF STANDARD ERROR FOR QUOTATION IN CONFIDENCE-STATEMENTS
CHEN, SX
HALL, P
[J]. STATISTICS & PROBABILITY LETTERS, 1994, 19 (02) : 147 - 151
[7] CHEN SX, 2010, SUPPLEMENT ANOVA LON, DOI DOI 10.1214/10-AOS824SUPP
[8] EMPIRICAL LIKELIHOOD IS BARTLETT-CORRECTABLE
DICICCIO, T
HALL, P
ROMANO, J
[J]. ANNALS OF STATISTICS, 1991, 19 (02) : 1053 - 1061
[9] Analysis of longitudinal data with semiparametric estimation of covariance function
Fan, Jianqing
Huang, Tao
Li, Runze
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2007, 102 (478) : 632 - 641
[10] Sieve empirical likelihood ratio tests for nonparametric functions
Fan, JQ
Zhang, J
[J]. ANNALS OF STATISTICS, 2004, 32 (05) : 1858 - 1907

← 1 2 3 4 5 →