Marie Gaudard A.

Discovering Partial Least Squares with JMP


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      Discovering Partial Least Squares with JMP®

      Ian Cox and Marie Gaudard

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      The correct bibliographic citation for this manual is as follows: Cox, Ian and Gaudard, Marie. 2013. Discovering Partial Least Squares with JMP®. Cary, NC: SAS Institute Inc.

       Discovering Partial Least Squares with JMP®

      Copyright © 2013, SAS Institute Inc., Cary, NC, USA

      ISBN 978-1-61290-829-8 (electronic book)

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      October 2013

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      Contents

       Preface

       A Word to the Practitioner

       The Organization of the Book

       Required Software

       Accessing the Supplementary Content

       Chapter 1 Introducing Partial Least Squares

       Modeling in General

       Partial Least Squares in Today’s World

       Transforming, and Centering and Scaling Data

       An Example of a PLS Analysis

       The Data and the Goal

       The Analysis

       Testing the Model

       Chapter 2 A Review of Multiple Linear Regression

       The Cars Example

       Estimating the Coefficients

       Underfitting and Overfitting: A Simulation

       The Effect of Correlation among Predictors: A Simulation

       Chapter 3 Principal Components Analysis: A Brief Visit

       Principal Components Analysis

       Centering and Scaling: An Example

       The Importance of Exploratory Data Analysis in Multivariate Studies

       Dimensionality Reduction via PCA

       Chapter 4 A Deeper Understanding of PLS

       Centering and Scaling in PLS

       PLS as a Multivariate Technique

       Why Use PLS?

       How Does PLS Work?

       PLS versus PCA

       PLS Scores and Loadings

       Some Technical Background

       An Example Exploring Prediction