Using trajectories from a bivariate growth curve as predictors in a Cox regression model

Statistics in Medicine

Volumn 26, Issue 4, 2007, Pages 800-811

  Dang, Qianyu ^a,b   Mazumdar, Sati ^a   Anderson, Stewart J ^a   Houck, Patricia R ^b   Reynolds, Charles F ^b  

^a UNIVERSITY OF PITTSBURGH GRADUATE SCHOOL OF PUBLIC HEALTH   (United States)

^b UNIVERSITY OF PITTSBURGH SCHOOL OF MEDICINE   (United States)

Author keywords

Cox model; Estimation errors; Longitudinal data analysis; Maintenance treatment

Indexed keywords

NORTRIPTYLINE;

ARTICLE; BIVARIATE ANALYSIS; CLINICAL TRIAL; CONTROLLED CLINICAL TRIAL; CONTROLLED STUDY; DATA ANALYSIS; DISEASE COURSE; DRUG BLOOD LEVEL; ELDERLY CARE; GROWTH CURVE; HAMILTON SCALE; HUMAN; LONGITUDINAL STUDY; MAINTENANCE THERAPY; MAJOR CLINICAL STUDY; MAJOR DEPRESSION; NORMAL DISTRIBUTION; PATIENT COMPLIANCE; PROPORTIONAL HAZARDS MODEL; PSYCHOTHERAPY; RANDOMIZED CONTROLLED TRIAL; RECURRENT DISEASE; REMISSION; SURVIVAL;

AGED; ANTIDEPRESSIVE AGENTS, TRICYCLIC; COMPUTER SIMULATION; DEPRESSION; FORECASTING; HUMANS; NORTRIPTYLINE; PATIENT COMPLIANCE; PROPORTIONAL HAZARDS MODELS; PSYCHOTHERAPY; RANDOMIZED CONTROLLED TRIALS; RECURRENCE;

EID: 33846844812     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.2558     Document Type: Article

References (23)

1. Dew MA, Reynolds CF, Houck PR, Hall M, Buysse DJ, Frank E, Kupfea DJ. Temporal profiles of the course of depression treatment. Archives of General Psychiatry 1997; 54:1016-1024.
2. Dew MA, Reynolds CF, Mulsant B, Frank E, Houck PR, Mazumdar S, Begley A, Kupfea DJ. Initial recovery patterns may predict which maintenance therapies for depression will keep older adults well. Journal of Affective Disorders 2001; 65:155-166.
3. Hammer SM, Katezstein DA, Hughes MD, Gundaker H, Schooley RT, Haubrich RH, Henry WK, Lederman NM, Phair JP, Niu M, Hirsch MS, Merigan TC. A trial comparing nucleoside monotherapy with combination therapy in HIV-infected adults with CD4 cell counts from 200 to 500 per cubic millimeter. New England Journal of Medicine 1996; 335:1081-1089.
4. De Gruttola V, Tu XM. Modeling progression of cd4-lymphocyte count and its relationship to survival time. Biometrics 1994; 50:1003-1014.
5. Tsiatis AA, Davidian M. Joint modeling of longitudinal and time-to-event data: an overview. Statistica Sinica 2004; 14:809-834.
6. Tsiatis AA, Davidian M. A semiparametric estimator for the proportional hazards model with longitudinal covariates measured with error. Biometrika 2001; 88:447-458.
7. Zhang D, Davidian M. Linear mixed models with flexible distributions of random effects for longitudinal data. Biometrics 2001; 57:795-802.
8. Song X, Davidian M, Tsiatis AA. A semiparametric likelihood approach to joint modeling of longitudinal and time-to-event data. Biometrics 2002; 58:742-753.
9. Li E, Zhang D, Davidian M. Conditional estimation for generalized linear models when covariates are subject-specific parameters in a mixed model for longitudinal measurements. Biometrics 2004; 60:1-7.
10. Cox DR. Regression models and life tables (with Discussion). Journal of the Royal Statistical Society, Series B 1972; 34:187-220.
11. Prentice RL. Covariate measurement errors and parameter estimation in a failure time regression model. Biometrika 1982; 69:331-342.
12. Hu P, Tsiatis AA, Davidian M. Estimating the parameters in the Cox model when covariate variables are measured with error. Biometrika 1998; 54:1047-1079.
13. Liu K, Mazumdar S, Stone RA, Dew MA, Houck RH, Reynolds CF. Accounting for covariate measurement error in a Cox model analysis of recurrence of depression. Journal of Psychiatric Research 2000; 35:177-185.
14. Liu K, Mazumdar S, Stone RA, Houck RH, Reynolds CF. Covariate measurement error in a Cox model analysis: a simulation study of recurrence of depression. Communications in Statistics: Simulations and Computations 2004; 33:1077-1093.
15. Harville DA. Extension of the Gauss-Markov theorem to include the estimation of random effects. Annals of Statistics 1976; 4:384-395.
16. Breslow NE. Covariance analysis of censored survival data. Biometrics 1974; 30:89-99.
17. Visual Numerics, Inc. IMSL® Fortran 90 MP Library, Version 4.01. Houston, Texas, 1999.
18. Reynolds CF, Frank E, Perel JM, Imber SD, Cornes C, Miller MD. Nortriptyline and interpersonal psychotherapy as maintenance therapies for recurrent major depression. Journal of American Medical Association 1999; 281:39-45.
19. Jones RH. Longitudinal Data with Serial Correlation: A State-Space Approach. Chapman & Hall: London, U.K., 1993.
20. Dang Q, Anderson S, Tan L, Mazumdar S. Modeling unequally spaced bivariate growth curve data using a Kalman filter approach. Communications in Statistics: Theory and Methods 2005; 34:1821-1831.
21. Burguete J, Gallant R, Souza G. On unification of the asymptotic theory of nonlinear econometric models. Econometric Reviews 1982; 1:151-190.
22. Verbeke G, Molenberghs G. Linear Mixed Models for Longitudinal Data. Springer: New York, 2000.
23. Molenberghs G, Verbeke G. Models for Discrete Longitudinal Data. Springer: New York, 2005.