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Latent Variable Path Modeling with Partial Least Squares [electronic resource] / by Jan-Bernd Lohmöller.

By: Contributor(s): Material type: TextTextPublisher: Heidelberg : Physica-Verlag HD : Imprint: Physica, 1989Edition: 1st ed. 1989Description: 286 p. 1 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783642525124
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 330.1
LOC classification:
  • HB1-846.8
Online resources:
Contents:
1 Basic Principles of Model Building -- 2 The Basic and the Extended PLS Method -- 3 Foundations of Partial Least Squares -- 4 Mixed Measurement Level Multivariate Data -- 5 Predictive vs. Structural Modeling: PLS vs. ML -- 6 Latent Variables Three-Mode Path (LVP3) Analysis -- 7 PLS Programs and Applications -- Author Index.
In: Springer Nature eBookSummary: Partial Least Squares (PLS) is an estimation method and an algorithm for latent variable path (LVP) models. PLS is a component technique and estimates the latent variables as weighted aggregates. The implications of this choice are considered and compared to covariance structure techniques like LISREL, COSAN and EQS. The properties of special cases of PLS (regression, factor scores, structural equations, principal components, canonical correlation, hierarchical components, correspondence analysis, three-mode path and component analysis) are examined step by step and contribute to the understanding of the general PLS technique. The proof of the convergence of the PLS algorithm is extended beyond two-block models. Some 10 computer programs and 100 applications of PLS are referenced. The book gives the statistical underpinning for the computer programs PLS 1.8, which is in use in some 100 university computer centers, and for PLS/PC. It is intended to be the background reference for the users of PLS 1.8, not as textbook or program manual.
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1 Basic Principles of Model Building -- 2 The Basic and the Extended PLS Method -- 3 Foundations of Partial Least Squares -- 4 Mixed Measurement Level Multivariate Data -- 5 Predictive vs. Structural Modeling: PLS vs. ML -- 6 Latent Variables Three-Mode Path (LVP3) Analysis -- 7 PLS Programs and Applications -- Author Index.

Partial Least Squares (PLS) is an estimation method and an algorithm for latent variable path (LVP) models. PLS is a component technique and estimates the latent variables as weighted aggregates. The implications of this choice are considered and compared to covariance structure techniques like LISREL, COSAN and EQS. The properties of special cases of PLS (regression, factor scores, structural equations, principal components, canonical correlation, hierarchical components, correspondence analysis, three-mode path and component analysis) are examined step by step and contribute to the understanding of the general PLS technique. The proof of the convergence of the PLS algorithm is extended beyond two-block models. Some 10 computer programs and 100 applications of PLS are referenced. The book gives the statistical underpinning for the computer programs PLS 1.8, which is in use in some 100 university computer centers, and for PLS/PC. It is intended to be the background reference for the users of PLS 1.8, not as textbook or program manual.

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