Testing variance components in balanced linear growth curve models

Journal of Applied Statistics

Volumn 39, Issue 3, 2012, Pages 563-572

  Drikvandi, Reza ^a   Khodadadi, Ahmad ^a   Verbeke, Geert ^b,c  

^a SHAHID BEHESHTI UNIVERSITY   (Iran)

^b KU LEUVEN   (Belgium)

^c HASSELT UNIVERSITY   (Belgium)

Author keywords

balanced linear growth curve model; efficiency; likelihood ratio; linear mixed effects model; permutation test; variance components

Indexed keywords

EID: 84856861111     PISSN: 02664763     EISSN: 13600532     Source Type: Journal    
DOI: 10.1080/02664763.2011.603294     Document Type: Article

References (20)

1. Dean, C. 1992. Testing for overdispersion in Poisson and binomial regression models. J. Amer. Statist. Assoc., 87: 451-457.
2. Demidenko, E. 2004. Mixed Models: Theory and Applications, New York: Wiley.
3. Demidenko, E. and Stukel, T. 2002. Efficient estimation of general linear mixed effects models. J. Statist. Plann. Inference, 104: 197-219.
4. Fearn, T. 1975. A Bayesian approach to growth curves. Biometrika, 62: 89-100.
5. Fitzmaurice, G. M., Lipsitz, S. R. and Ibrahim, J. G. 2007. A note on permutation tests for variance components in multilevel generalized linear mixed models. Biometrics, 63: 942-946.
6. Giampaoli, V. and Singer, J. M. 2009. Likelihood ratio tests for variance components in linear mixed models. J. Statist. Plann. Inference, 139: 1435-1448.
7. Gueorguieva, R. 2001. A multivariate generalized linear mixed model for joint modelling of clustered outcomes in the exponential family. Statist. Model., 1: 177-193.
8. Laird, N. M. and Ware, J. H. 1982. Random-effects models for longitudinal data. Biometrics, 38: 963-974.
9. Lee, J. C. 1991. Tests and model selection for the general growth curve model. Biometrics, 47: 147-159.
10. Lin, X. 1997. Variance component testing in generalised linear models with random effects. Biometrika, 84: 309-326.
11. Miller, J. J. 1977. Asymptotic properties of maximum likelihood estimates in the mixed model of the analysis of variance. Ann. Statist., 5: 746-762.
12. Potthoff, R. F. and Roy, S. N. 1964. A generalized multivariate analysis of variance model useful especially for growth curve problems. Biometrika, 51: 313-326.
13. Rao, C. R. 1965. The theory of least squares when the parameters are stochastic and its application to the analysis of growth curves. Biometrika, 52: 447-458.
14. Rao, C. R. 1987. Prediction of future observations in growth curve models. Statist. Sci., 2: 434-471.
15. Reinsel, G. C. 1985. Mean squared error properties of empirical Bayes estimators in a multivariate random effects general linear model. J. Amer. Statist. Assoc., 80: 642-650.
16. Self, S. G. and Liang, K. Y. 1987. Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions. J. Amer. Statist. Assoc., 82: 605-610.
17. Stram, D. O. and Lee, J. W. 1994. Variance components testing in the longitudinal mixed effects model. Biometrics, 50: 1171-1177.
18. Verbeke, G. and Molenberghs, G. 2000. Linear Mixed Models for Longitudinal Data, Berlin: Springer.
19. Verbeke, G. and Molenberghs, G. 2003. The use of score tests for inference on variance components. Biometrics, 59: 254-262.
20. Rosen, D. von. 1991. The growth curve model: A review. Commun. Statist. Theory Meth., 20: 2791-2822.