59
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

Estimation of Varying Coefficients for a Growth Curve Model

&
Pages 243-256 | Published online: 06 Aug 2013

  • FujikoshiY. and SatohK. (1996). Estimation and model selection in an extended growth curve model. Hiroshima Mathematical Journal, 26, 635–647.
  • FujikoshiY., KandaT. and OhtakiM. (1999). Growth curve models with hierarchical within-individuals design. Annals of the Institute of Statistical Mathematics, 51, 707–721.
  • GuoW. (2002) Functional mixed effects model. Biometrics, 58, 121–128.
  • HastieT. and TibshiraniR. (1993). Varying-coefficient models. Journals of the Royal Statistical Society B, 55, 757–796.
  • HooverD. R., RiceJ. A., WuC. O. and YangL. P. (1998). Nonparametric smoothing estimates of time-varying coefficient models with longitudinal data. Biometrika, 85, 809–822.
  • LairdN. M. and WareJ. H. (1982). Random-effects models for longitudinal data. Biometrika, 38, 963–974.
  • PattersonH. D. and ThompsonR. (1971). Recovery of inter-block information when block sizes are unequal. Biometrika, 58, 545–554.
  • PotthoffR. F. and RoyS. N. (1964). A generalized multivariate analysis of variance model useful especially for growth curve problems. Biometrika, 51, 313–326.
  • RaoC. R. (1965). The theory of least squares when the parameters are stochastic and its application to analysis of growth curves. Biometrika, 52, 447–458.
  • RaoC. R. (1973). Linear Statistical Inference and Its Applications. John Wiley, Inc., New York.
  • RuppertD., WandM. and CarrollR. (2003) Semiparametric regression. Cambridge University Press, Inc., Cambridge.
  • SatohK., KobayashiM. and FujikoshiY. (1997). Variable selection for the growth curve model. Journal of Multivariate Analysis, 60, 277–292.
  • SatohK., YanagiharaH. and OhtakiM. (2003). Bridging the gap between B-spline and polynomial regression model. Communications in Statistics - Computation and Simulation, 32, 179–190.
  • SatohK. and OhtakiM. (2006) Nonparametric growth curve model with local linear approximation. Communications in Statistics - Theory and Methods, 35, 641–648.
  • SrivastavaM. S. (2002) Nested growth curve models. Sankhya A, 64, 379–408.
  • SrivastavaM.S. and von RosenD. (1999). Growth curve models. Multivariate Analysis, Design of Experiments, and Survey Sampling (GhoshS. ed.), 547–578, Marcel Dekker, New York.
  • VoneshE. F. and CarterR. L. (1987). Efficients inference for random-coefficient growth curve models with unbalanced data. Biometrics, 43, 617–628.
  • WatanabeH., TakahashiT., LeeJ., OhtakiM., RoyG., AndoY., YamadaK., GotohT., KurisuK., FujimotoN., SatowY. and ItoA. (1996). Influence of paternal 252C f Neutron exposure on abnormal Sperm, embryonal Lethality, and Liver tumorigenesis in F1 offspring of mice. Japanese Journal of Cancer Research, 87, 51–57.
  • WestM., HarisonP. J. and MigonH. S. (1985). Dynamic generalized linear models and Bayesian forecasting (with discussion). Journal of the American Statistical Association, 80, 73–97.

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.