Prediction and Creation of Smooth Curves for Temporally Correlated Longitudinal Data

References

• Berkey , C. S. , Reed , R. B. and Valadian , I. 1983 . “Midgrowth Spurt in Height of Boston Children,” . Annals of Human Biology , 10 : 25 – 30 .
   PubMed Web of Science ®Google Scholar
• Chi , E. M. and Reinsel , G. C. 1989 . “Models for Longitudinal Data With Random Effects and AR(1) Errors,” . Journal of the American Statistical Association , 84 : 452 – 459 .
   Web of Science ®Google Scholar
• Cleveland , W. S. 1979 . “Robust Locally Weighted Regression and Smoothing Scatterplots,” . Journal of the American Statistical Association , 74 : 829 – 836 .
   Web of Science ®Google Scholar
• Cleveland , W. S. and Devlin , S. J. 1988 . “Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting,” . Journal of the American Statistical Association , 83 : 596 – 610 .
   Web of Science ®Google Scholar
• Cressie , N. 1991 . Statistics for Spatial Data , New York : John Wiley .
   Google Scholar
• Detels , R. , Sayre , J. W. , Tashkin , D. P. , Massey , F. J. Jr , Coulson , A. H. and Rokaw , S. N. 1984 . “The UCLA Population Studies of Chronic Obstructive Respiratory Disease: VI. Relationship of Physiologic Factors to Rate of Change in Forced Expiratory Volume in One Second and Forced Vital Capacity,” . American Review of Respiratory Disease , 129 : 533 – 537 .
   PubMed Web of Science ®Google Scholar
• Diggle , P. J. 1988 . “An Approach to the Analysis of Repeated Measurements,” . Biometrics , 44 : 959 – 971 .
   PubMed Web of Science ®Google Scholar
• Goldberger , A. S. 1962 . “Best Linear Unbiased Prediction in the Generalized Linear Regression Model,” . Journal of the American Statistical Association , 57 : 369 – 375 .
   Web of Science ®Google Scholar
• Hopper , J. L. , Hibbert , M. E. , Macaskill , G. T. , Phelan , P. D. and Landau , L. I. 1991 . “Longitudinal Analysis of Lung Function Growth in Healthy Children and Adolescents,” . Journal of Applied Physiology , 70 : 770 – 777 .
   PubMed Web of Science ®Google Scholar
• Isaaks , E. H. and Srivastava , R. M. 1989 . Applied Geostatistics , New York : Oxford University Press .
   Google Scholar
• Laird , N. M. and Ware , J. H. 1982 . “Random-Effects Models for Longitudinal Data,” . Biometrics , 38 : 963 – 974 .
   PubMed Web of Science ®Google Scholar
• Lee , J. C. 1988 . “Prediction and Estimation of Growth Curves With Special Covariance Structures,” . Journal of the American Statistical Association , 83 : 432 – 440 .
   Web of Science ®Google Scholar
• Louv , W. C. 1987 . “Estimation of Individual Growth Curves by Empirically Weighted Least Squares,” . Biometrical Journal , 29 : 81 – 92 .
   Web of Science ®Google Scholar
• Mardia , K. V. and Marshall , R. J. 1984 . “Maximum Likelihood Estimation of Models for Residual Covariance in Spatial Regression,” . Biometrika , 71 : 135 – 140 .
   Web of Science ®Google Scholar
• Matheron , G. 1962 . Traite de Geostatistique Applique, Tome I. Memoires du Bureau de Recherches Geologiques et Minieres, No. 14 , Paris : Editions Technip .
   Google Scholar
• Merrell , M. 1931 . “The Relationship of Individual Growth to Average Growth,” . Human Biology , 3 : 37 – 70 .
   Google Scholar
• Rickard , R. S. , Engeman , R. M. , Zerbe , G. O. and Bury , R. B. 1989 . “A Nonparametric Comparison of Monomolecular Growth Curves: Application to Western Painted Turtle Data,” . Growth, Development & Aging , 53 : 47 – 56 .
   PubMedGoogle Scholar
• Sherrill , D. L. , Camilli , A. and Lebowitz , M. D. 1989a . “On the Temporal Relationships Between Lung Function and Somatic Growth,” . American Review of Respiratory Disease , 140 : 638 – 644 .
   PubMed Web of Science ®Google Scholar
• Sherrill , D. L. , Morgan , W. J. , Taussig , L. M. , Landau , L. I. and Burrows , B. 1989b . “A Mathematical Procedure for Estimating the Spatial Relationships Between Lung Function, Somatic Growth, and Maturation,” . Pediatric Research , 25 : 316 – 321 .
   PubMed Web of Science ®Google Scholar
• Strenio , J. F. , Weisberg , H. I. and Bryk , A. S. 1983 . “Empirical Bayes Estimation of Individual Growth Curve Parameters and Their Relationship to Covariates,” . Biometrics , 39 : 71 – 86 .
   PubMed Web of Science ®Google Scholar
• Waternaux , C. , Herbert , J. , Dawson , R. and Berggren , G. 1987 . “Presentation of Growth Velocities of Rural Haitian Children Using Spline Smoothing Techniques,” . Growth , 51 : 154 – 164 .
   PubMedGoogle Scholar