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Experimental Aging Research
An International Journal Devoted to the Scientific Study of the Aging Process
Volume 22, 1996 - Issue 1
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Original Articles

Approaches to the nonparametric analysis of limited longitudinal data sets

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Pages 33-57 | Received 08 Jul 1994, Accepted 21 Jan 1995, Published online: 27 Sep 2007

References

  • Bentler , P. M. and Newcomb , M. D. 1991 . “ Linear structural equation modeling with nonnormal continuous variables ” . In Statistical models for longitudinal studies of health , Edited by: Dwyer , J. H. , Feinleib , M. , Lippert , P. and Hoffmeister , H. 132 – 162 . New York : Oxford University Press .
  • Beyer , W. H. , ed. 1968 . CRC handbook of tables for probability and statistics () , 2nd ed. , Boca Raton, FL : CRC Press .
  • Beyer , W. H. , ed. 1981 . CRC standard mathematical tables () , 26th ed. , Boca Raton, FL : CRC Press .
  • Conover , W. J. 1980 . Practical nonparametric statistics () , 2nd ed. , New York : Wiley .
  • Cook , N. R. and Ware , J. H. 1983 . Design and analysis methods for longitudinal research . Annual Review of Public Health , 4 : 1 – 23 .
  • Davidian , M. and Gallant , A. R. 1991 . The nonlinear mixed effects model with a smooth random effects density , Raleigh, NC : North Carolina State University . (Institute of Statistics Mimeo Series No. 2206)
  • Davidian , M. and Gallant , A. R. 1992 . Smooth nonparametric maximum likelihood estimation for population pharmacokinetics, with application to quinidine . Journal of Pharmacokinetics and Biopharmaceutics , 20 : 531 – 558 .
  • Dawson , D. V. , Todorov , A. B. and Elston , R. C. 1980 . Confidence bands for the growth of head circumference in achondroplastic children during the first year of life . American Journal of Medical Genetics , 7 : 527 – 536 .
  • Dempster , A. P. , Laird , N. M. and Rubin , D. B. 1977 . Maximum likelihood from incomplete data via the EM algorithm . Journal of the Royal Statistical Society, Part B , 39 : 1 – 38 .
  • Dooley , M. A. , Cush , J. J. , Lipsky , P. E. , Dawson , D. V. and Pisetsky , D. S. 1993 . The effects of nonsteroidal anti-inflammatory drug therapy in early rheumatoid arthritis on serum levels of soluble IL-2R, CD4 and CD8 . Journal of Rheumatology , 20 : 1857 – 1862 .
  • Dwyer , J. H. , Feinleib , M. , Lippert , P. and Hoffmeister , H. , eds. 1991 . Statistical models for longitudinal studies of health , New York : Oxford University Press .
  • Gallant , A. R. and Tauchen , G. E. 1992 . “ A nonparametric approach to nonlinear time series analysis: Estimation and simulation ” . In New dimensions in time series analysis , Edited by: Parzen , E. , Brillinger , D. , Rosenblatt , M. , Taqqu , M. , Geweke , J. and Caines , P. 97 – 112 . New York : Springer-Verlag .
  • Gasser , T. , Muller , H. T. , Kohler , W. , Molinari , L. and Prader , A. 1984 . A nonparametric regression analysis of growth curves . Annals of Statistics , 12 : 210 – 229 .
  • Ghosh , M. , Grizzle , J. E. and Sen , P. K. 1973 . Nonparametric methods in longitudinal studies . Journal of the American Statistical Association , 68 : 29 – 36 .
  • Goldstein , H. 1979 . The design and analysis of longitudinal studies , San Diego, CA : Academic Press .
  • Goldstein , L. B. and Davis , J. N. 1990a . Beam-walking in rats: Studies towards developing an animal model of functional recovery after brain injury . Journal of Neuroscience Methods , 31 : 101 – 107 .
  • Goldstein , L. B. and Davis , J. N. 1990b . Clonidine impairs recovery of beam-walking after a sensorimotor cortex lesion in the rat . Brain Research , 508 : 305 – 309 .
  • Grizzle , J. E. and Allen , D. M. 1969 . Analysis of growth and dose response curves . Biometrics , 25 : 357 – 381 .
  • Kruskal , W. H. and Wallis , W. A. 1952 . Use of ranks on one-criterion variance analysis . Journal of the American Statistical Association , 47 : 583 – 621 .
  • Laird , N. M. and Ware , J. H. 1982 . Random-effects models for longitudinal data . Biometrics , 38 : 963 – 974 .
  • Lentner , C. , ed. 1982 . Geigy scientific tables , Vol. 2 , Basel : Ciba-Geigy .
  • Mann , H. B. and Whitney , D. R. 1947 . On a test of whether one of two random variables is stochastically larger than the other . Annals of Mathematical Statistics , 18 : 50 – 60 .
  • Nesselroade , J. R. and Baltes , P. B. , eds. 1979 . Longitudinal research in the study of behavior and development , San Diego, CA : Academic Press .
  • Neter , J. and Wasserman , W. 1974 . Applied linear statistical models , Homewood, IL : Richard D. Irwin .
  • Orchard , T. and Woodbury , M. A. 1972 . A missing information principle. Theory and applications . Proceeding of the 6th Berkeley Symposium on Mathematical Statistics and Probability , 1 : 697 – 715 .
  • Rao , C. R. 1965 . The theory of least squares when parameters are stochastic and its application to the analysis of growth curves . Biometrika , 52 : 447 – 458 .
  • Rosner , B. 1990 . Fundamentals of biostatistics () , 3rd ed. , Boston : PWS-Kent .
  • SAS Institute, Inc. 1989 . SAS/IML software: Usage and reference, version 6 () , 1st ed. , Cary, NC : Author .
  • Searle , S. R. 1966 . Matrix algebra for the biological sciences , New York : Wiley .
  • Sen , P. K. and Puri , M. L. On robust nonparametric estimation in some multivariate linear models . Proceedings of the Second International Symposium on Multivariate Analysis . Edited by: Krishnaiah , P. R. pp. 33 – 52 . San Diego, CA : Academic Press .
  • Siegler , I. C. 1983 . “ Psychological aspects of the Duke Longitudinal Studies ” . In Longitudinal studies of adult psychological development , Edited by: Schaie , K. W. 136 – 190 . New York : Guilford Press .
  • Singer , J. M. and Sen , P. K. 1985 . M-methods in multivariate linear models . Journal of Multivariate Analysis , 17 : 168 – 184 .
  • Singer , J. M. and Sen , P. K. 1986 . M-methods in growth curve analysis . Journal of Statistical Planning and Inference , 13 : 251 – 261 .
  • Snedecor , G. W. and Cochran , W. G. 1980 . Statistical methods () , 7th ed. , Ames, IA : Iowa University Press .
  • Spearman , C. 1904 . The proof of measurement of association between two things . American Journal of Psychology , 15 : 72 – 101 .
  • Truong , Y. K. 1991 . Nonparametric curve estimation with time series errors . Journal of Statistical Planning and Inference , 28 : 167 – 183 .
  • Von Eye , A. , ed. 1990 . Statistical methods in longitudinal research , Vols. 1 and 2 , San Diego, CA : Academic Press .
  • Wenger , T. , Browning , D. J. , Masterton , C. E. , Abou-Donia , M. B. , Harrell , F. E. , Bache , R. E. Jr. and Strauss , H. C. 1980 . Procainamide delivery to ischemic canine myocardium following rapid intravenous administration . Circulation Research , 46 : 789 – 795 .
  • Wilcoxon , F. 1945 . Individual comparisons by ranking methods . Biometrics , 1 : 80 – 83 .
  • Zerbe , G. O. and Walker , S. H. 1977 . A randomization test for comparison of groups of growth curves with different polynomial design matrices . Biometrics , 33 : 653 – 657 .

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