156
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Maximum Likelihood Estimators in a Two Step Model for PLS

&
Pages 2503-2511 | Received 19 Nov 2010, Accepted 20 Jul 2011, Published online: 11 Jun 2012

References

  • Cook , R. D. , Li , B. , Chiaromonte , F. ( 2010 ). Envelope models for parsimonious and efficient multivariate linear regression (with discussion) . Statistica Sinica 20 : 927 – 1010 .
  • Druilhet , P. , Mom , A. (2006). PLS regression: a directional signal-to-noise ratio approach. J. Multivariate Anal. 97:1313–1329.
  • Druilhet , P. , Mom , A. ( 2008 ). Shrinkage structure in biased regression . J. Multivariate Anal. 99 : 232 – 244 .
  • Frank , I. E. , Friedman , J. H. ( 1993 ). A statistical view of some chemometrics regression tools . Technometrics 35 : 109 – 135 .
  • Helland , I. S. ( 1988 ). On the structure of partial least squares regression . Commun. Statist. Simul. Computat. 17 : 581 – 607 .
  • Helland , I. S. ( 1990 ). Partial least squares regression and statistical models . Scand. J. Statist. 17 : 97 – 114 .
  • Helland , I. S. ( 1992 ). Maximum likelihood regression on relevant component . J. Roy. Statist. Soc. Ser. B 54 : 637 – 647 .
  • Helland , I. S. ( 2001 ). Some theoretical aspects of partial least squares regression . Chemo. Intell. Lab. Syst. 58 : 97 – 107 .
  • Helland , I. S. ( 2010 ). Discussion of Cook, R. D., Li, B., Chiaromonte, F. (2010). Envelope models for parsimonious and efficient multivariate linear regression . Statist. Sinica 20:927–1010. Statist. Sinica 20 : 978 – 981 .
  • Höskuldsson , A. ( 1988 ). PLS regression methods . J. Chemo. 2 : 211 – 228 .
  • Khatri , C. G. ( 1968 ). Some results for the singular normal multivariate regression models . Sankhy Ind. J. Statist. Ser. A 30 : 267 – 280 .
  • Kollo , T. , von Rosen , D. ( 2005 ). Advanced Multivariate Statistics with Matrices . New York : Springer .
  • Manne , R. ( 1987 ). Analysis of two partial least squares algorithms for multivariate calibration . Chemo. Intell. Lab. Sys. 2 : 187 – 197 .
  • Potthoff , R. F. , Roy , S. N. ( 1964 ). A generalized multivariate analysis of variance model useful especially for growth curve problems . Biometrika 51 : 313 – 326 .
  • Srivastava , M. S. , Khatri , C. G. ( 1979 ). An Introduction to Multivariate Statistics . New York : North Holland .
  • Srivastava , M. S. , von Rosen , D. ( 1999 ). Growth curve model . In: Multivariate Analysis, Design of Experiment, and Survey Sampling, Statistics: Textbooks and Monographs . New York : Dekker , pp. 547 – 578 .
  • Stone , M. , Brooks , R. J. ( 1990 ). Continuum regression: Cross-validated sequentially constructed prediction embracing ordinary least squares, partial least squares and principal component regression . J. Roy. Statist. Soc. Ser. B (Methodol.) 52 : 237 – 269 .
  • von Rosen , D. ( 1991 ). The growth curve model: a review . Commun. Statist. Theor. Meth. 20 : 2795 – 2822 .
  • von Rosen , D. ( 1994 ). PLS, linear models and invariant spaces . Scand. J. Statist. 21 : 179 – 186 .
  • Wold , H. ( 1975 ). Soft modeling by latent variables; the nonlinear iterative partial least squares (NIPALS) approach. In: Perspectives in Probability and Statistics (Papers in Honor of M. S. Bartlett on the Occasion of his 65th Birthday). Applied Probability Trust . Sheffield : University Sheffield , pp. 117 – 142 .
  • Woolson , R. F. , Leeper , J. D. ( 1980 ). Growth curve analysis of complete and incomplete longitudinal data . Commun. Statist. Theor. Meth. 9 : 1491 – 1513 .

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.