Generalized Additive Models: Some Applications

References

• Anderson , J. A. 1972 . “Separate Sample Logistic Regression” . Biometrika , 59 : 19 – 35 .
   Web of Science ®Google Scholar
• Atkinson , A. C. 1969 . “The Use of Residuals as a Concomitant Variable” . Biometrika , 56 : 33 – 41 .
   Web of Science ®Google Scholar
• Baker , R. J. and Nelder , J. A. 1978 . The GLIM System, Release 3 Oxford , , U.K. distributed by National Algorithms Group
   Google Scholar
• Belsley , D. A. , Kuh , E. and Welsch , R. E. 1980 . Regression Diagnostics , New York : John Wiley .
   Google Scholar
• Breiman , L. and Friedman , J. H. 1985 . “Estimating Optimal Transformations for Multiple Regression and Correlation” . Journal of the American Statistical Association , 80 : 580 – 619 . (with discussion)
   Web of Science ®Google Scholar
• Cleveland , W. S. 1979 . “Robust Locally Weighted Regression and Smoothing of Scatterplots” . Journal of the American Statistical Association , 74 : 829 – 836 .
   Web of Science ®Google Scholar
• Cleveland , W. S. and Devlin , S. J. 1986 . “Locally Weighted Regressions: An Approach to Regression Analysis by Local Fitting” AT&T Bell Laboratories Statistical Research Report
   Google Scholar
• Cook , R. P. and Weisberg , S. 1982 . Residuals and Influence in Regression , London : Chapman & Hall .
   Google Scholar
• Denby , L. 1986 . “Smooth Regression Functions” AT&T Bell Laboratories Statistical Research Report 26
   Google Scholar
• Deutsch , F. 1983 . “Von Neumann's Alternating Method: The Rate of Convergence” . In Approximation Theory IV , Edited by: Chui , C. K. , Schumaker , L. L. and Ward , J. D. 427 – 434 . New York : Academic Press .
   Google Scholar
• Draper , N. E. and Faraggi , D. 1985 . “Role of the Papadakis Estimator in One-and Two-Dimensional Field Trials” . Biometrika , 72 : 223 – 226 .
   Web of Science ®Google Scholar
• Draper , N. E. and Guttman , I. 1980 . “Incorporating Overlap Effects From Neighboring Units Into Response Surface Models” . Applied Statistics , 29 : 128 – 134 .
   Google Scholar
• Friedman , J. H. and Stuetzle , W. 1981 . “Projection Pursuit Regression” . Journal of the American Statistical Association , 76 : 817 – 823 .
   Web of Science ®Google Scholar
• Friedman , J. H. and Stuetzle , W. 1982 . “Smoothing of Scatterplots” , Stanford University, Statistics Dept . technical report (Orion 3)
   Google Scholar
• Green , P. J. 1984 . “Iteratively Reweighted Least Squares for Maximum Likelihood Estimation, and Some Robust and Resistant Alternatives” . Journal of the Royal Statistical Society , 46 : 149 – 192 . Ser. B
   Google Scholar
• Green , P. J. 1985 . “Linear Models for Field Trials, Smoothing, and Cross-Validation” . Biometrika , 72 : 527 – 538 .
   Web of Science ®Google Scholar
• Green , P. J. and Yandell , B. “Semi-Parametric Generalized Linear Models” . Proceedings of the GLIM 1985 Conference . pp. 32 Springer-Verlag . Lecture Notes in Statistics
   Google Scholar
• Hastie , T. “Generalized Additive Models: A GAIM Analyst's Toolbox” . Proceedings of the Statistical Computing Section . pp. 41 – 47 . American Statistical Association .
   Google Scholar
• Hastie , T. and Tibshirani , R. 1986a . “Generalized Additive Models” . Statistical Science , 1 : 297 – 318 . (with discussion)
   Google Scholar
• Hastie , T. and Tibshirani , R. 1986b . “Generalized Additive Models, Penalized Likelihood and Cubic Splines” submitted for publication
   Google Scholar
• Hastie , T. and Tibshirani , R. “Nonparametric Logistic and Proportional Odds Regression” . Applied Statistics , (in press)
   Web of Science ®Google Scholar
• Hastie , T. , Tibshirani , R. and Buja , A. 1987 . “Linear Smoothers and Additive Models” AT&T Bell Laboratories Statistical Research Report
   Google Scholar
• Huber , P. J. 1985 . “Projection Pursuit” . The Annals of Statistics , 13 : 435 – 475 . (with discussion)
   Web of Science ®Google Scholar
• Jenkyn , J. , Bainbridge , A. , Dyke , G. and Todd , A. 1979 . “An Investigation Into Interplot Interactions, in Experiments With Mildew on Barley, Using Balanced Designs” . Annals of Applied Biology , 92 : 11 – 28 .
   Web of Science ®Google Scholar
• Landwehr , J. M. 1986 . “Using Residual Plots to Detect Nonlinearity in Multiple Regression” 15 AT&T Bell Laboratories Statistics Research Report
   Google Scholar
• Landwehr , J. M. , Pregibon , D. and Shoemaker , A. 1984 . “Graphical Methods for Assessing Logistic Regression Models” . Journal of the American Statistical Association , 79 : 61 – 63 . (with discussion)
   Web of Science ®Google Scholar
• McCullagh , P. and Nelder , J. A. 1983 . Generalized Linear Models , London : Chapman & Hall .
   Google Scholar
• Mosteller , F. and Tukey , J. W. 1977 . Data Analysis and Regression , Reading , MA : Addison-Wesley .
   Google Scholar
• Nelder , J. A. and Wedderburn , R. 1972 . “Generalized Linear Models” . Journal of the Royal Statistical Society , 135 : 370 – 384 . Ser. A
   Google Scholar
• O'Sullivan , F. , Yandell , B. and Raynor , W. 1986 . “Automatic Smoothing of Regression Functions in Generalized Linear Models” . Journal of the American Statistical Association , 81 : 96 – 103 .
   Web of Science ®Google Scholar
• Papadakis , J. 1937 . “Méthode statistique pour des expériences sur champ” . Bulletin Institute Plantes é Salonique , : 23
   Google Scholar
• Pregibon , D. 1981 . “Logistic Regression Diagnostics” . The Annals of Statistics , 9 : 705 – 724 .
   Web of Science ®Google Scholar
• Pregibon , D. 1982 . “Resistant Fits for Some Commonly Used Logistic Models With Medical Applications” . Biometrics , 38 : 485 – 498 .
   PubMed Web of Science ®Google Scholar
• Rossouw , J. , du Plessis , J. , Benade , A. , Jordaan , P. , Kotze , J. , Jooste , P. and Ferreira , J. 1983 . “Coronary Risk Factor Screening in Three Rural Communities” . South African Medical Journal , 64 : 430 – 436 .
   PubMed Web of Science ®Google Scholar
• Silverman , B. W. 1985 . “Some Aspects of the Spline Smoothing Approach to Non-Parametric Regression Curve Fitting” . Journal of the Royal Statistical Society , 47 : 1 – 52 . (with discussion), Ser. B
   Google Scholar
• Stone , C. J. 1986 . “The Dimensionality Reduction Principal for Generalized Additive Models” . The Annals of Statistics , 14 : 590 – 606 .
   Web of Science ®Google Scholar
• Stone , M. 1974 . “Cross-Validatory Choice and Assessment of Statistical Predictions” . Journal of the Royal Statistical Society , 36 : 111 – 147 . (with discussion), Ser. B
   Google Scholar
• Tibshirani , R. and Hastie , T. 1987 . “Local Likelihood Estimation” . Journal of the American Statistical Association , 82 : 559 – 567 .
   Web of Science ®Google Scholar
• Wahba , G. and Wold , S. 1975 . “A Completely Automatic French Curve: Fitting Spline Functions by Cross-Validation” . Communications in Statistics, Part A—Theory and Methods , 4 : 1 – 7 .
   Web of Science ®Google Scholar
• Williams , R. 1952 . “Experimental Designs for Serially Correlated Observations” . Biometrika , 39 : 151 – 167 .
   Web of Science ®Google Scholar