ON NONLINEAR RANDOM EFFECTS MODELS FOR REPEATED MEASUREMENTS

被引：37

作者：

HIRST, K ^{[1
]}

BOYLE, DW ^{[1
]}

ZERBE, GO ^{[1
]}

WILKENING, RB ^{[1
]}

机构：

[1] UNIV COLORADO,SCH MED,DENVER,CO 80206

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 1991年 / 20卷 / 2-3期

基金：

美国国家卫生研究院;

关键词：

NONLINEAR MIXED EFFECTS MODEL; EM ALGORITHM; LONGITUDINAL DATA; STOCHASTIC PARAMETERS;

D O I：

10.1080/03610919108812966

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：

Linear random effects models for longitudinal data discussed by Laird and Ware (1982), Jennrich and Schluchter (1986), Lange and Laird (1989), and others are extended in a straight forward manner to nonlinear random effects models. This results in a simple computational approach which accommodates patterned covariance matrices and data insufficient for fitting each subject separately. The technique is demonstrated with an interesting medical data set, and a short, simple SAS PROC IML program based on the EM algorithm is presented.

引用

页码：463 / 478

页数：16

共 50 条

[41] Predictive model selection for repeated measures random effects models using Bayes factors
Weiss, RE
Wang, Y
Ibrahim, JG
[J]. BIOMETRICS, 1997, 53 (02) : 592 - 602
[42] Predictive model selection for repeated measures random effects models using Bayes factors
Weiss, R. E.
Wang, Y.
Ibrahim, J. G.
[J]. Biometrics, 53 (02):
[43] Piecewise transition models with random effects for unequally spaced longitudinal measurements
Rikhtehgaran, Reyhaneh
Kazemi, Iraj
Verbeke, Geert
de Kort, Wim
Lesaffre, Emmanuel
[J]. STATISTICAL MODELLING, 2012, 12 (06) : 503 - 525
[44] Some asymptotic inference on nonlinear models with random effects (A geometric approach)
Xuping Z.
Bocheng W.
[J]. Applied Mathematics-A Journal of Chinese Universities, 1998, 13 (3) : 301 - 308
[45] Identifiability and estimability of Bayesian linear and nonlinear crossed random effects models
Rohloff, Corissa T.
Kohli, Nidhi
Lock, Eric F.
[J]. BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY, 2024, 77 (02): : 375 - 394
[46] SOME ASYMPTOTIC INFERENCE ON NONLINEAR MODELS WITH RANDOM EFFECTS (A GEOMETRIC APPROACH)
[J]. Applied Mathematics:A Journal of Chinese Universities, 1998, (03) : 63 - 70
[47] Assessing robustness of designs for random effects parameters for nonlinear mixed-effects models
Duffull, Stephen B.
Hooker, Andrew C.
[J]. JOURNAL OF PHARMACOKINETICS AND PHARMACODYNAMICS, 2017, 44 (06) : 611 - 616
[48] Assessing robustness of designs for random effects parameters for nonlinear mixed-effects models
Stephen B. Duffull
Andrew C. Hooker
[J]. Journal of Pharmacokinetics and Pharmacodynamics, 2017, 44 : 611 - 616
[49] Applications of Linear and Nonlinear Models - Fixed Effects, Random Effects, and Total Least Squares
Sjoberg, Lars E.
[J]. JOURNAL OF GEODETIC SCIENCE, 2013, 3 (01) : 77 - 78
[50] Adaptation of Honda's one-sided test of random effects to repeated measurements experiments
Laitila, T
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1998, 27 (12) : 3015 - 3033

← 1 2 3 4 5 →