Simple fitting of subject-specific curves for longitudinal data

Statistics in Medicine

Volumn 24, Issue 8, 2005, Pages 1153-1167

  Durban M ^a   Harezlak, J ^b   Wand, M P ^c   Carroll, R J ^d  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

^c UNIVERSITY OF NEW SOUTH WALES   (Australia)

^d TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Acute lymphoblastic leukaemia; Linear mixed models; Penalized splines; Restricted likelihood ratio tests

Indexed keywords

ACUTE LYMPHOBLASTIC LEUKEMIA; ARTICLE; CANCER RADIOTHERAPY; CHILD; CLINICAL TRIAL; COMPUTER PROGRAM; CORRELATION ANALYSIS; CURVE FITTING; GROWTH RATE; HUMAN; LONGITUDINAL STUDY; MATHEMATICAL COMPUTING; NONPARAMETRIC TEST; PARAMETRIC TEST; STATISTICAL ANALYSIS; STATISTICAL MODEL;

BIOMETRY; BODY HEIGHT; CHILD; CHILD, PRESCHOOL; DATA INTERPRETATION, STATISTICAL; FEMALE; HUMANS; LEUKEMIA, LYMPHOCYTIC, ACUTE; LINEAR MODELS; LONGITUDINAL STUDIES; MODELS, STATISTICAL; SOFTWARE;

EID: 16844376691     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/sim.1991     Document Type: Article

References (27)

1. Laird NM, Ware JH. Random-effects models for longitudinal data. Biometrics 1982; 38:963-974.
2. Zeger SL, Diggle PJ. Semiparametric models for longitudinal data with application to cd4 cell numbers in hiv seroconverters. Biometrics 1994; 50:689-699.
3. Verbyla AP, Cullis BR, Kenward MG, Welham SJ. The analysis of designed experiments and longitudinal data using smoothing splines. Applied Statistics 1999; 48:269-312.
4. Zhang D, Lin X, Raz J, Sowers M. Semiparametric stochastic mixed models for longitudinal data. Journal of the American Statistical Association 1998; 93:710-719.
5. Brumback BA, Rice JA. Smoothing spline models for the analysis of nested and crossed samples of curves. Journal of the American Statistical Association 1998; 93:961-994.
6. Rice JA, Wu CO. Nonparametric mixed effects models for unequally sampled noisy curves. Biometrics 2001; 57:253-259.
7. Guo W. Functional mixed effects models. Biometrics 2002; 58:121-128.
8. Koopman SJ, Durbin J. Fast filtering and smoothing for multivariate state space models. Journal of Time Series Analysis 2000; 21:281-296.
9. Eilers PHC, Marx BD. Flexible smoothing with B-splines and penalties. Statistical Science 1996; 11:89-121.
10. Brumback BA, Ruppert D, Wand MP. Comment on Variable selection and function estimation in additive nonparametric regression using a data-based prior. Journal of the American Statistical Association 1999; 94: 794-797.
11. Currie ID, Durbán M. Flexible smoothing with P splines: a unified approach. Statistical Modelling 2002; 2 333-349.
12. Wand MP. Smoothing and mixed models. Computational Statistics 2003; 18:223-249.
13. Dalton VK, Rue M, Silverman LB, Gelber RD, Asselin BL, Barr RD, Clavell LA, Hurwitz CA, Moghrabi A, Samson Y, Schorin M, Tarbell NJ, Sallan SE, Cohen LE. Height and weight in children treated for acute lymphoblastic leukemia: relationship to cns treatment. Journal of Clinical Oncology 2003; 21:2953-2960.
14. Wang Y. Mixed effects smoothing spline analysis of variance. Journal of the Royal Statistical Society B 1998; 60:159-174.
15. Ruppert D, Wand MP, Carroll RJ. Semiparametric Regression Cambridge University Press: Cambridge, 2003.
16. Coull BA, Schwartz J, Wand MP. Respiratory health and air pollution: additive mixed model analyses. Biostatistics 2001; 2 337-349.
17. Patterson HD, Thompson R. Recovery of inter-block information when block sizes are unequal. Biometrika 1971; 58:545-554.
18. Self SG, Liang K. Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions. Journal of the American Statistical Association 1987; 82 605-610.
19. Stram DO, Lee JW. Variance components testing in the longitudinal mixed effects model. Biometrics 1994; 50 1171-1177.
20. Crainiceanu CM, Ruppert D, Vogelsang TJ. Probability that the MLE of a variance component is zero with applications to likelihood ratio tests, 2004 (under revision).
21. Crainiceanu CM, Ruppert D. Likelihood ratio tests in linear mixed models with one variance component. Journal of the Royal Statistical Society B 2003; 66:165-185.
22. Crainiceanu CM, Ruppert D, Claeskens G, Wand MP. Exact likelihood ratio tests for penalized splines. Biometrika 2004, to appear.
23. Crainiceanu CM, Ruppert D. Restricted likelihood ratio tests for longitudinal models. Statistica Sinica 2004, to appear.
24. Hokken-Koelega ACS, van Doorn JWD, Hahlen K, Stijnen T, de Muink Keizer-Schrama SM, Drop SL. Longterm effects of treatment for acute lymphoblastic leukemia with and without cranial irradiation on gowth and puberty. Pediatric Research 1993; 33:577-582.
25. Didcock E, Davies DA, Didi M, Olgilvy Stuart AL, Wales JK, Shalet SM. Pubertal growth in young adult survivors of childhood leukemia. Journal of Clinical Oncology 1995.
26. Ruppert D. Selecting the number of knots for penalized splines. Journal of Computational and Graphical Statistics 2002; 11:735-757.
27. Gilmour AR, Cullis BR, Wellham SJ, Thompson R. ASREML Reference Manual. NSW Agriculture, 2000.