On the analysis of multivariate growth curves

Metrika

Volumn 52, Issue 1, 2000, Pages 77-89

  Nummi, Tapio ^b   Möttönen, Jyrki ^a  

^a TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

^b NONE

Author keywords

Maximum likelihood; Mixed model; Random coefficient regression; Restricted maximum likelihood

Indexed keywords

EID: 0034353931     PISSN: 00261335     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001840000063     Document Type: Article

References (23)

1. Azzalini A (1987) Growth curves analysis for patterned covariance matrices. In: Puri M, Vilaplana JP, Wertz W (eds.) New Perspectives in Theoretical and Applied Statistics. Wiley, New York, pp. 63-73
2. Anderson BM, Anderson TW, Olkin I (1986) Maximum likelihood estimators and likelihood ratio criteria in multivariate components of variance. Annals of Statistics 14:405-417
3. Carter EM, Hubert JJ (1984) A growth-curve model approach to multivariate quantal bioassay. Biometrics 40:699-706
4. Chinchilli VM, Carter WH Jr. (1984) A likelihood ratio test for a patterned covariance matrix in a multivariate growth-curve model. Biometrics 40:151-156
5. Diggle PJ, Liang KY, Zeger SL (1993) Analysis of longitudinal data. Oxford University Press, Oxford
6. Grizzle JE, Allen DM (1969) Analysis of growth and dose response curves. Biometrics 25:357-381
7. Khatri CG (1966) A note on a MANOVA model applied to problems in growth curves. Annals of the Institute of Statistical Mathematics 18:75-86
8. Laird NM, Lange N (1987) Comment on "Prediction of future observations in growth curve models," by C.R. Rao, Statistical Science 4:451-454
9. Laird NM, Ware JH (1982) Random-effects models for longitudinal data. Biometrics 38:963-974
10. Lange N, Laird NM (1989) The effect of covariance structure on variance estimation in balanced growth-curve models with random parameters. Journal of the American Statistical Association 84:241-247
11. Lee JC (1988) Prediction and estimation of growth curves with special covariance structures. Journal of the American Statistical Association 83:432-439
12. Lindstrom MJ, Bates DM (1988) Newton-Raphson and EM algorithms for linear mixed-effects models for repeated-measures data. Journal of the American Statistical Association 83:1014-1022
13. Liski EP, Nummi T (1996) Prediction in repeated-measures models with engineering applications. Technometrics 38:25-36
14. Lundbye-Christensen S (1991) A multivariate growth curve model for pregnancy. Biometrics 47:637-657
15. Nummi T (1997) A multivariate growth model with an application to paper testing. In: Tiit EM (ed.) Proceedings of Tartu Conference on Computational Statistics & Statistical Education. University of Tartu, Estonia, pp. 112-123
16. Nummi T (1997) Estimation in a random effects growth curve model. Journal of Applied Statistics 24:157-168
17. Potthoff RF, Roy SN (1964) A generalized multivariate analysis of variance model useful especially for growth curve problems. Biometrika 5:313-326
18. Rao CR (1967) Least squares theory using an estimated dispersion matrix and its application to measurement of signals. In: LeCam LM, Neyman J (eds.) Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Vol. 1. Berkeley: University of California Press, pp. 355-372
19. Reinsel G (1982) Multivariate repeated-measurement or growth curve models with multivariate random-effects covariance structure. Journal of the American Statistical Association 77:190-195
20. Reinsel G (1984) A note on conditional prediction in the multivariate linear model. Journal of the Royal Statistical Society B46:109-117
21. Reinsel G (1985) Mean squared error properties of empirical Bayes estimators in a multivariate random effects general linear model. Journal of the American Statistical Association 80:642-650
22. Seber GAF (1984) Multivariate observations. Wiley, New York
23. Vasdekis VGS (1993) An investigation of certain methods in the analysis of growth curves. Unpublished D. Phil. Thesis. University of Oxford, England