Joint modelling of multivariate longitudinal profiles: Pitfalls of the random-effects approach

Statistics in Medicine

Volumn 23, Issue 20, 2004, Pages 3093-3104

  Fieuws, Steffen ^a   Verbeke, Geert ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Joint modelling; Mixed models; Multivariate longitudinal profiles

Indexed keywords

ADOLESCENT; ADULT; AGE DISTRIBUTION; AGED; AGING; ANALYTICAL ERROR; ANALYTICAL PARAMETERS; ARTICLE; AUDITORY THRESHOLD; CALCULATION; CONTROLLED STUDY; CORRELATION ANALYSIS; COVARIANCE; FREQUENCY ANALYSIS; HEARING TEST; HUMAN; LINEAR SYSTEM; LONGITUDINAL STUDY; MALE; MULTIVARIATE ANALYSIS; PUBLICATION; PURE TONE AUDIOMETRY; RANDOMIZATION; REGRESSION ANALYSIS; SOUND PRESSURE;

ADOLESCENT; ADULT; AGED; HEARING LOSS; HUMANS; LONGITUDINAL STUDIES; MALE; MIDDLE AGED; MODELS, BIOLOGICAL; MODELS, STATISTICAL; MULTIVARIATE ANALYSIS;

EID: 5044220677     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/sim.1885     Document Type: Article

References (32)

1. Tsiatis AA, Degruttola V, Wulfsohn MS. Modeling the relationship of survival to longitudinal data measured with error. Applications to survival and CD4 counts in patients with AIDS. Journal of the American Statistical Association 1995; 90:27-37.
2. Pawitan Y, Self S. Modeling disease marker processes in AIDS. Journal of the American Statistical Association 1993; 88:719-726.
3. Catalano PJ, Ryan LM. Bivariate latent variable models for clustered discrete and continuous outcomes. Journal of the American Statistical Association 1992; 87:651-659.
4. Gray SM, Brookmeyer R. Estimating a treatment effect from multidimensional longitudinal data. Biometrics 1998; 54:976-988.
5. Gray SM, Brookmeyer R. Multidimensional longitudinal data: estimating a treatment effect from continuous, discrete or time-to-event response variables. Journal of the American Statistical Association 2000; 95:396-406.
6. Nelsen RB. An Introduction to Copulas, Lecture Notes in Statistics, vol. 139. Springer: New York.
7. Laird NM, Ware JH. Random-effects models for longitudinal data. Biometrics 1982; 38:963-974.
8. Davidian M, Giltinan DM. Nonlinear Models for Repeated Measurement Data. Chapman & Hall: London, 1995.
9. Breslow NE, Clayton DG. Approximate inference in generalized linear mixed models. Journal of the American Statistical Association 1993; 88:9-25.
10. Buyse M, Molenberghs G, Burzykowski T, Renard D, Geys H. The validation of surrogate endpoints in meta-analyses of randomized experiments. Biostatistics 2000; 1:49-67.
11. Burzykowski T, Molenberghs G, Buyse M, Geys H, Renard D. Validation of surrogate endpoints in multiple randomized clinical trials with failure time end points. Applied Statistics 2001; 50:405-422.
12. Thum YM. Hierarchical linear models for multivariate outcomes. Journal of Educational and Behavioral Statistics 1997; 22(1):77-108.
13. Gueorguieva R. A multivariate generalized linear mixed model for joint modelling of clustered outcomes in the exponential family. Statistical Modelling 2001; 1(3):177-193.
14. Chakraborty H, Helms RW, Sen PK, Cohen MS. Estimating correlation by using a general linear mixed model: evaluation of the relationship between the concentration of HIV-1 RNA in blood and semen. Statistics in Medicine 2003; 22:1457-1464.
15. MacCallum R, Kim C, Malarkey W, Kiecolt-Glaser J. Studying multivariate change using multilevel models and latent curve models. Multivariate Behavioral Research 1997; 32:215-253.
16. Thiébaut R, Jacqmin-Gadda, Commenges DH, Chêne G. Bivariate longitudinal study of CD4+ cell count and HIV RNA taking into account informative drop-out and left censoring of HIV RNA values. In proceedings of the 17th International Workshop on Statistical Modelling, Stasinopoulos M, Touloumi G (eds). Odense, Denmark, 2002; 521-524.
17. Thiébaut R, Jacqmin-Gadda H, Chêne G, Leport C, Commenges D. Bivariate linear mixed models using SAS proc mixed. Computer Methods and Programs in Biomedicine 2002; 69:249-256.
18. Shah A, Laird N, Schoenfeld D. A random-effects model for multiple characteristics with possibly missing data. Journal of the American Statistical Association 1997; 92:775-779.
19. Zucker DM, Zerbe GO, Wu MC. Inference for the association between coefficients in a multivariate growth curve model. Biontetrics 1995; 51:413-424.
20. Williams SM. Modelling the association between increases in height and adiposity and changes in blood pressure between ages 7 and 18 years. In proceedings of the 14th International Workshop on Statistical Modelling, Klein B, Korsholm L (eds). Odense, Denmark, 2001; 521-524.
21. Shock NW, Greullich RC, Andres R, Arenberg D, Costa PT, Lakatta EG, Tobin JD. Normal human aging: The Baltimore Longitudinal Study of Aging. National Institutes of Health: Washington, DC, 84-2450, 1984.
22. Brant LJ, Fozard JL. Age changes in pure-tone hearing thresholds in a longitudinal study of normal human aging. Journal of the Acoustical Society of America 1990; 88:813-820.
23. Morrell CH, Brant LJ. Modelling hearing thresholds in the elderly. Statistics in Medicine 1991; 10:1453-1464.
24. Pearson JD, Morrell CH, Gordon-Salant S, Brant LJ, Metter EJ, Klein LL, Fozard JL. Gender differences in a longitudinal study of age-associated hearing loss. Journal of the Acoustical Society of America 1995; 97:1196-1205.
25. Verbeke G, Molenberghs G. Linear Mixed Models for Longitudinal Data. Springer Series in Statistics. Springer: New York, 2000.
26. De Gruttola V, Tu XM. Modelling progression of CD4-lymphocyte count and its relationship to survival time. Biometrics 1994; 50:1003-1014.
27. Serfling RJ. Approximation Theorems of Mathematical Statistics. Wiley: New York, 1980.
28. Liang KY, Zeger SL. Longitudinal data analysis using generalized linear models. Biometrika 1986; 73:13-22.
29. Schluchter MD. Estimating correlation between alternative measures of disease progression in a longitudinal study. Statistics in Medicine 1990; 9:1175-1188.
30. van Houwelingen HC, Arends LR, Stijnen T. Advanced methods in meta-analysis: multivariate approach and meta-regression. Statistics in Medicine 2002; 21:589-624.
31. Gueorguieva R, Agresti A. A correlated probit model for joint modeling of clustered binary and continuous responses. Journal of the American Statistical Association 2001; 96(455):1102-1112.
32. Heitjan DF, Sharma D. Modelling repeated-series longitudinal data. Statistics in Medicine 1997; 16:347-355.