The GAM Procedure

References

  • Allen, D. M. (1974), “The Relationship between Variable Selection and Data Augmentation and a Method of Prediction,” Technometrics, 16, 125–127.

  • Bell, D. F., Walker, J. L., O’Connor, G., and Tibshirani, R. J. (1994), “Spinal Deformity after Multiple-Level Cervical Laminectomy in Children,” Spine, 19, 406–411.

  • Buja, A., Hastie, T. J., and Tibshirani, R. J. (1989), “Linear Smoothers and Additive Models,” Annals of Statistics, 17, 453–510.

  • Cleveland, W. S., Devlin, S. J., and Grosse, E. (1988), “Regression by Local Fitting,” Journal of Econometrics, 37, 87–114.

  • Duchon, J. (1976), “Fonctions-spline et espérances conditionnelles de champs gaussiens,” Annales scientifiques de l’Université de Clermont-Ferrand 2, Série Mathématique, 14, 19–27.

  • Duchon, J. (1977), “Splines Minimizing Rotation-Invariant Semi-norms in Sobolev Spaces,” in W. Schempp and K. Zeller, eds., Constructive Theory of Functions of Several Variables, 85–100, New York: Springer-Verlag.

  • Friedman, J. H. and Stuetzle, W. (1981), “Projection Pursuit Regression,” Journal of the American Statistical Association, 76, 817–823.

  • Hastie, T. J. (1991), “Generalized Additive Models,” in J. M. Chambers and T. J. Hastie, eds., Statistical Models in S, 249–307, Pacific Grove, CA: Chapman & Hall/CRC.

  • Hastie, T. J. and Tibshirani, R. J. (1986), “Generalized Additive Models,” Statistical Science, 3, 297–318.

  • Hastie, T. J. and Tibshirani, R. J. (1990), Generalized Additive Models, New York: Chapman & Hall.

  • Houghton, A. N., Flannery, J., and Viola, M. V. (1980), “Malignant Melanoma in Connecticut and Denmark,” International Journal of Cancer, 25, 95–104.

  • McCullagh, P. and Nelder, J. A. (1989), Generalized Linear Models, 2nd Edition, London: Chapman & Hall.

  • Meinguet, J. (1979), “Multivariate Interpolation at Arbitrary Points Made Simple,” Journal of Applied Mathematics and Physics, 30, 292–304.

  • Nelder, J. A. and Wedderburn, R. W. M. (1972), “Generalized Linear Models,” Journal of the Royal Statistical Society, Series A, 135, 370–384.

  • Sochett, E. B., Daneman, D., Clarson, C., and Ehrich, R. M. (1987), “Factors Affecting and Patterns of Residual Insulin Secretion during the First Year of Type I (Insulin Dependent) Diabetes Mellitus in Children,” Diabetologia, 30, 453–459.

  • Stone, C. J. (1985), “Additive Regression and Other Nonparametric Models,” Annals of Statistics, 13, 689–705.

  • Wahba, G. (1983), “Bayesian 'Confidence Intervals' for the Cross Validated Smoothing Spline,” Journal of the Royal Statistical Society, Series B, 45, 133–150.

  • Wahba, G. (1990), Spline Models for Observational Data, Philadelphia: Society for Industrial and Applied Mathematics.

  • Wahba, G. and Wendelberger, J. (1980), “Some New Mathematical Methods for Variational Objective Analysis Using Splines and Cross Validation,” Monthly Weather Review, 108, 1122–1145.