39
Views
1
CrossRef citations to date
0
Altmetric
Article

Representative Curves for Longitudinal Data via Regression Trees

Pages 214-233 | Published online: 21 Feb 2012

References

  • Altman , N. S. 1990 . “Kernel Smoothing with Correlated Errors” . Journal of the American Statistical Association , 85 : 749 – 759 .
  • Breiman , L. , Friedman , J. H. , Olshen , R. A. and Stone , C. J. 1984 . Classification and Regression Trees , Belmont , CA : Wadsworth .
  • Breiman , L. and Friedman , J. H. 1985 . “Estimating Optimal Transformations for Multiple Regression and Correlation” . Journal of the American Statistical Association , 80 : 580 – 597 .
  • Char , B. W. , Geddes , K. O. , Gonnet , G. H. , Leong , B. L. , Monagan , M. B. and Watt , S. M. 1991 . Maple Language Reference Manual , Waterloo : Maple Publishing .
  • Chi , E. M. and Reinsel , G. C. 1989 . “Models for Longitudinal Data with Random Effects and AR1 Errors” . Journal of the American Statistical Association , 84 : 452 – 459 .
  • Cleveland , W. S. 1979 . “Robust Locally-Weighted Regression and Smoothing Scatterplots” . Journal of the American Statistical Association , 74 : 829 – 836 .
  • Diggle , P. 1988 . “An Approach to the Analysis of Repeated Measures” . Biometrics , 44 : 959 – 971 .
  • Diggle , P. J. , Liang , K.-Y. and Zeger , S. L. 1993 . The Analysis of Longitudinal Data , Oxford : Oxford University Press .
  • Draper , D. 1987 . Discussion of “Prediction of Future Observations in Growth Curve Models” . Statistical Science , 2 : 434 – 471 . by Rao, C. R.
  • Friedman , J. H. 1987 . “Exploratory Projection Pursuit” . Journal of the American Statistical Association , 82 : 249 – 266 .
  • Gnanadesikan , R. 1977 . Methods for Statistical Data Analysis of Multivariate Observations , New York : John Wiley .
  • Hastie , T. J. and Tibshirani , R. J. 1990 . Generalized Additive Models , London : Chapman and Hall .
  • Herrmann , E. , Gasser , T. and Kneip , A. 1992 . “Choice of Bandwidth for Kernel Regression when Residuals are Correlated” . Biometrika , 79 : 783 – 795 .
  • Jones , M. C. and Rice , J. A. 1992 . “Displaying the Important Features of a Large Collection of Similar Curves” . The American Statistician , 46 : 140 – 145 .
  • Lange , K. , Little , R. J. A. and Taylor , J. 1989 . “Robust Statistical Modeling Using the t Distribution” . Journal of the American Statistical Association , 84 : 881 – 896 .
  • Lange , N. , Carlin , B. P. and Gelfand , A. E. 1992 . “Hierarchical Bayes Models for the Progression of HIV Infection Using Longitudinal CD4 T-cell Numbers” . Journal of the American Statistical Association , 87 : 615 – 632 . (with discussion)
  • Lee , J. C. 1988 . “Prediction and Estimation of Growth Curves with Special Covariance Structures” . Journal of the American Statistical Association , 83 : 432 – 440 .
  • Li , K. C. 1992 . “On Principal Hessian Directions for Data Visualization and Dimension Reduction: Another Application of Stein's Lemma” . Journal of the American Statistical Association , 87 : 1025 – 1039 .
  • Monagan , M. B. 1992 . “Exact Eigenvalue and Eigenvector Computation in Maple” . MapleTech , : 24 – 32 .
  • Muñoz , A. , Carey , V. , Schouten , J. P. , Segal , M. R. and Rosner , B. 1992 . “A Parametric Family of Correlation Structures for the Analysis of Longitudinal Data” . Biometrics , 48 : 733 – 742 .
  • Rice , J. A. and Silverman , B. W. 1991 . “Estimating the Mean and Covariance Structure Nonparametrically when the Data are Curves” . Journal of the Royal Statistical Society , 53 : 233 – 243 . Ser. B
  • Rosner , B. , Hennekens , C. H. , Kass , E. H. and Miall , W. E. 1977 . “Age-specific Correlation Analysis of Longitudinal Blood Pressure Data” . American Journal of Epidemiology , 106 : 306 – 313 .
  • Segal , M. R. 1992 . “Tree-Structured Methods for Longitudinal Data” . Journal of the American Statistical Association , 87 : 407 – 418 .
  • Taylor , J. M. G. and Cumberland , W. G. 1992 . “A Stochastic Model for the Analysis of Longitudinal Data” , University of California at Los Angeles, Dept. of Statistics . Technical Report
  • Tufte , E. R. 1990 . The Visual Display of Quantitative Information , Cheshire , CT : Graphics Press .
  • Zeger , S. L. and Diggle , P. J. 1992 . “Semi-parametric Models for Longitudinal Data with Application to CD4 Cell Numbers in HIV Seroconverters” , Johns Hopkins University, Dept. of Biostatistics . Technical Report 714

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.