123
Views
18
CrossRef citations to date
0
Altmetric
Theory and Methods

Additive Splines for Partial Least Squares Regression

&
Pages 1546-1554 | Received 01 Oct 1994, Published online: 17 Feb 2012

References

  • Breiman , L. 1993 . “Fitting Additive Models to Regression Data. Diagnostics and Alternative Views,” . Computational Statistics & Data Analysis , 15 : 13 – 46 .
  • Breiman , L. and Friedman , J. H. 1985 . “Estimating Optimal Transformations for Multiple Regression and Correlation” (with discussion) . Journal of the American Statistical Association , 80 : 580 – 619 .
  • DeBoor , C. 1978 . A Practical Guide to Splines , Berlin : Springer-Verlag .
  • Durand , J. F. 1993 . “Generalized Principal Component Analysis With Respect to Instrumental Variables Via Univariate Spline Transformations,” . Computational Statistics and Data Analysis , 16 : 423 – 440 .
  • Eubank , R. L. 1988 . Spline Smoothing and Nonparametric Regression , New York : Marcel Dekker .
  • Frank , I. E. 1990 . “A Nonlinear PLS Model,” . Chemometrics and Intelligent Laboratory Systems , 8 : 109 – 119 .
  • Frank , I. E. and Friedman , J. H. 1993 . “A Statistical View of Some Chemometrics Regression Tools” (with discussion) . Technometrics , 35 : 109 – 148 .
  • Frank , I. E. and Lanteri , S. 1988 . “ACE: A Nonlinear Regression Model,” . Chemometrics and Intelligent Laboratory Systems , 3 : 301 – 313 .
  • Friedman , J. H. and Silverman , B. W. 1989 . “Flexible Parsimonious Smoothing and Additive Modeling” (with discussion) . Technometrics , 31 : 3 – 39 .
  • Hastie , T. and Tibshirani , R. 1990 . Generalized Additive Models , London : Chapman and Hall .
  • Höskuldsson , A. 1992 . “Quadratic PLS Regression,” . Journal of Chemometrics , 6 : 307 – 334 .
  • Jackson , J. E. 1991 . A User's Guide to Principal Components , New York : Wiley .
  • Kettaneh-Wold , N. 1992 . “Analysis of Mixture Data With Partial Least Squares,” . Chemometrics and Intelligent Laboratory Systems , 3 : 189 – 197 .
  • Ramsay , J. O. 1988 . “Monotone Regression Splines in Action” (with discussion) . Statistical Science , 3 : 425 – 461 .
  • Rijckevorsel , J. and de Leeuw , J. 1988 . Component and Correspondence Analysis , New York : Wiley .
  • SAS Institute, Inc. 1985 . SAS User's Guide: Statistics, Version 5 Edition , Cary , NC : Author .
  • Schumaker , L. L. 1981 . Spline Functions: Basic Theory , New York : Wiley .
  • Statistical Sciences, Inc. 1992 . S-PLUS Programmer's Manual, Version 3.0 , Seattle : Author .
  • Stone , C. J. 1985 . “Additive Regression and Other Nonparametric Models,” . The Annals of Statistics , 13 : 689 – 705 .
  • Stone , M. and Brooks , R. J. 1990 . “Continuum Regression: Cross-Validated Sequentially Constructed Prediction Embracing Ordinary Least Squares, Partial Least Squares and Principal Components Regression,” . Journal of the Royal Statistical Society , 52 : 237 – 269 . Ser. B
  • Taavitsainen , V. M. and Korhonen , P. 1992 . “Nonlinear Data Analysis With Latent Variables,” . Chemometrics and Intelligent Laboratory Systems , 14 : 186 – 194 .
  • Tenenhaus , M. , Gauchi , J. P. and Ménardo , C. 1995 . “Régression PLS et Applications,” . Revue de Statistique Appliquée , XLIII : 7 – 63 .
  • Wold , H. 1966 . “Estimation of Principal Components and Related Models by Iterative Least Squares,” . In Multivariate Analysis , Edited by: Krishnaiah , P. R. 391 – 420 . New York : Academic Press .
  • Wold , H. 1975 . “Soft Modeling by Latent Variables; the Nonlinear Iterative Partial Least Squares Approach,” . In Perspectives in Probability and Statistics, Papers in Honour of M. S. Bartlett , Edited by: Gani , J. London : Academic Press .
  • Wold , S. 1992 . “Nonlinear Partial Least Squares Modeling. II. Spline Inner Relation,” . Chemometrics and Intelligent Laboratory Systems , 14 : 71 – 84 .
  • Wold , S. 1996 . “PLS Regression: The State of Art,” . In Journée d'étude sur les méthodes PLS, Théorie et pratique , Jouy-en-Josas : Groupe HEC .
  • Wold , S. , Kettaneh-Wold , N. and Skagerberg , B. 1989 . “Nonlinear PLS Modeling,” . Chemometrics and Intelligent Laboratory Systems , 7 : 53 – 65 .
  • Wright , G. E. and Gambino , J. J. 1984 . “Quantitative Structure-Activity Relationships of 6-Anilinouracils as Inhibitors of Bacillus Subtilis DNA Polymerase III,” . Journal of Medical Chemistry , 27 : 181 – 185 .

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.