Notes on the history and nature of partial least squares (PLS) modelling

The growing awareness of the need for non‐deterministic and distribution‐free (soft) models combined with an iterative algorithm for finding latent variables led to the construction of partial least squares models. There have been separate developments in the humanistic and the natural sciences, with stress on different aspects and a different terminology. The historical development is described and some key topics are explained.

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[20]  Svante Wold,et al.  Preference of cauliflower related to sensory descriptive variables by partial least squares (PLS) regression , 1983 .

[21]  Svante Wold,et al.  Partial least-squares method for spectrofluorimetric analysis of mixtures of humic acid and lignin sulfonate , 1983 .

[22]  S. Wold,et al.  The multivariate calibration problem in chemistry solved by the PLS method , 1983 .

[23]  Harald Martens,et al.  A multivariate calibration problem in analytical chemistry solved by partial least-squares models in latent variables , 1983 .

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[26]  S. Wold,et al.  The Collinearity Problem in Linear Regression. The Partial Least Squares (PLS) Approach to Generalized Inverses , 1984 .

[27]  Bruce R. Kowalski,et al.  Prediction of Product Quality from Spectral Data Using the Partial Least-Squares Method , 1984 .

[28]  G. A. Barnard,et al.  The Making of Statisticians. , 1984 .

[29]  H. Wold,et al.  Recent Developments in Categorical Data Analysis by PLS , 1985 .

[30]  Tormod Næs,et al.  Comparison of prediction methods for multicollinear data , 1985 .

[31]  T. K. Dijkstra.  Latent variables in linear stochastic models : refletions on "maximum likelihood" and "partial least squares" methods , 1985 .

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[36]  K. Esbensen,et al.  Predicting oil-well permeability and porosity from wire-line petrophysical logs — a feasibility study using partial least squares regression , 1987 .

[37]  S. Wold,et al.  Partial least squares analysis with cross‐validation for the two‐class problem: A Monte Carlo study , 1987 .

[38]  Terje V. Karstang,et al.  Multivariate calibration of an x-ray diffractometer by partial least squares regression , 1987 .

[39]  I. E. Frank.  Intermediate least squares regression method , 1987 .