Fundamentals of Predictive Analytics with JMP, Second Edition

Chapter 7: Principal Components Analysis

Introduction

Basic Steps in JMP

Produce the Correlations and Scatterplot Matrix

Create the Principal Components

Run a Regression of y on Prin1 and Excluding Prin2

Understand Eigenvalue Analysis

Conduct the Eigenvalue Analysis and the Bartlett Test

Verify Lack of Correlation

Dimension Reduction

Produce the Correlations and Scatterplot Matrix

Conduct the Principal Component Analysis

Determine the Number of Principal Components to Select

Method 1

Method 2

Method 3

Compare Methods for Determining the Number of Components

Discovery of Structure in the Data

A Straightforward Example

Produce the Correlations and Scatterplot Matrix

Conduct the Principal Component Analysis

An Example with Less Well Defined Data ...