Matrix Pencils pp 286-293 | Cite as

The multivariate calibration problem in chemistry solved by the PLS method

  • S. Wold
  • H. Martens
  • H. Wold
Section C Generalized Singular Values And Data Analysis
Part of the Lecture Notes in Mathematics book series (LNM, volume 973)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. N.R. DRAPER and H. SMITH (1981). Applied regression analysis, 2.ed. Wiley, New York.MATHGoogle Scholar
  2. B.R. KOWALSKI (1975). Chemometrics: Views and propositions. J.Chem.Info.Comput. Syst. 15, 201.CrossRefGoogle Scholar
  3. D.W. MARQUARDT (1970). Generalized inverses, ridge regression, biased linear and non-linear estimation. Technometrics 12, 591–612.CrossRefMATHGoogle Scholar
  4. M. STONE (1974). Cross-validatory choice and assessment of statistical predictions. J.Roy.Statist.Soc. B36, 111.MathSciNetMATHGoogle Scholar
  5. G. WAHBA (1977). Practical approximate solution to linear operator equations when the data are noisy. SIAM J.Numer.Anal. 14, 651.MathSciNetCrossRefMATHGoogle Scholar
  6. H. WOLD (1982) in Systems under indirect observation. Causality, structure, prediction (K.G. Jöreskog and H. Wold, Ed.s). North-Holland, Amsterdam.Google Scholar
  7. S. WOLD (1976). Pattern recognition by means of disjoint principal components models. Pattern Recognition 8, 127.CrossRefMATHGoogle Scholar
  8. S. WOLD and M. SJÖSTRÖM (1977). SIMCA, a method for analyzing chemical data in terms of similarity and analogy. In Chemometrics: Theory and application (B.R. Kowalski, Ed.). Amer.Chem.Soc.Symp.Ser. no. 52.Google Scholar
  9. S. WOLD (1978). Crossvalidatory estimation of the number of components in factor and principal components analysis. Technometrics 20, 397.CrossRefMATHGoogle Scholar
  10. S. WOLD, H. WOLD, W.J. DUNN, A. RUHE (1982). The collinearity problem in linear regression. The partial least squares (PLS) approach to generalized inverses. Report UMINF-83.80, version 3. Umeå University, Dept. Information Processing.Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • S. Wold
  • H. Martens
  • H. Wold

There are no affiliations available

Personalised recommendations