A multivariate random-effects model with restricted parameters: Application to assessing radiation therapy for brain tumours

Statistics in Medicine

Volumn 25, Issue 11, 2006, Pages 1948-1959

  Fang, Hong Bin ^a   Tian, Guo Liang ^a   Xiong, Xiaoping ^b   Tan, Ming ^a  

^a UNIVERSITY OF MARYLAND GREENEBAUM CANCER CENTER   (United States)

^b ST JUDE CHILDREN S RESEARCH HOSPITAL   (United States)

Author keywords

EM algorithm; MLE; Multivariate random effects models; Paediatric brain tumour; Radiation therapy; Restricted parameters

Indexed keywords

ADOLESCENT; ALGORITHM; ARTICLE; ASTROCYTOMA; BRAIN TUMOR; CHILD; CLINICAL ARTICLE; CLINICAL TRIAL; CONTROLLED CLINICAL TRIAL; CONTROLLED STUDY; CRANIOPHARYNGIOMA; EPENDYMOMA; GLIOBLASTOMA; HUMAN; LONGITUDINAL STUDY; MATHEMATICAL COMPUTING; MAXIMUM LIKELIHOOD METHOD; MEDICAL RESEARCH; MULTIVARIATE ANALYSIS; PEDIATRICS; RANDOMIZED CONTROLLED TRIAL; RELAXATION TIME; STATISTICAL MODEL; TREATMENT OUTCOME; WHITE MATTER;

ADOLESCENT; ALGORITHMS; BRAIN NEOPLASMS; CHILD; CHILD, PRESCHOOL; HUMANS; LONGITUDINAL STUDIES; MAGNETIC RESONANCE IMAGING; MODELS, BIOLOGICAL; MODELS, STATISTICAL; MULTIVARIATE ANALYSIS; RADIOTHERAPY;

EID: 33744784284     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.2364     Document Type: Article

References (17)

1. Merchant T, Goloubeva O, Pritchard D, Gaber MW, Xiong X, Danish RK, Lustig RH. Radiation dose-volume effects on growth hormone secretion. International Journal of Radiation Oncology Biology Physics 2002; 52(2):1264-1270.
2. Grill J, Renaux VK, Bulteau C, Viguier D, Levy-Piebois C, Sainte-Rose C, Dellatolas G, Raquin MA, Jambaque I, Kalifa C. Long-term intellectual outcome in children with posterior fossa tumors according to radiation dose and volumes. International Journal of Radiation Oncology Biology Physics 1999; 45:137-145.
3. Wilson DA, Nitschke R, Bowman ME, Chaffin MJ, Sexauer CL, Prince JR. Transient white matter changes on MR images in children undergoing chemotherapy for acute lymphocytic leukemia: correlation with neuropsychologic deficiencies. Radiology 1991; 180:205-209.
4. Steen RG, Koury M, Granja CI, Xiong X, Wu S, Glass JO, Mulhern RK, Kun LE, Merchant TE. Effect of ionizing radiation on the human brain: white matter and gray matter T1 in pediatric brain tumor patients treated with conformal radiation therapy. International Journal of Radiation Oncology Biology Physics 2001; 49:79-91.
5. Steen RG, Ogg RJ, Reddick WE, Kingsley PB. Age-related changes in the pediatric brain: quantitative MR evidence of maturational changes during adolescence. American Journal of Neuroradiology 1997; 18:819-828.
6. Muthen B. Longitudinal Studies of Achievement Growth Using Latent Variable Modeling. University of California Press: Los Angeles, 1995.
7. Goldstein H. Random coefficient repeated measures model. In Encyclopedia of Biostatistics, Armitage P, Colton T (eds). Wiley: New York, 1998; 3674-3678.
8. Reinsel G. Estimation and prediction in a multivariate random effects generalized linear model. Journal of the American Statistical Association 1984; 79:406-414.
9. 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.
10. Thum YM. Hierarchical linear models for multivatiate outcomes. Journal of Educational and Behavioral Statistics 1997; 22:77-108
11. Meng XL, Rubin DB. Maximum likelihood estimation via the ECM algorithm: a general framework. Biometrika 1993; 80:267-278.
12. Rubin DB. Inference and missing data (with discussion). Biometrika 1976; 63:581-592.
13. Worsley KJ, Evans AC, Strother SC, Tyler JL. A linear spatial correlation model, with applications to positron emission tomography. Journal of the American Statistical Association 1991; 86:55-67.
14. Louis TA. Finding observed information using the EM algorithm. Journal of the Royal Statistical Society, Series B 1982; 44:98-130.
15. Tan M, Fang HB, Tian GL, Houghton PJ. Small sample inference for incomplete longitudinal data with truncation and censoring in tumor xenograft models. Biometrics 2002; 58:612-620.
16. Liu CH. Estimation of discrete distributions with a class of simplex constraints. Journal of the American Statistical Association 2000; 95:109-120.
17. Tan M, Tian GL, Fang HB. Estimating restricted normal means using the EM-type algorithms and IBF sampling In Development of Modern Statistics and Topics, Zhang H, Huang J (eds). World Scientific Publishing: Singapore, 2003; 53-73.