Principal Components Analysis

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George H. Dunteman

Volume: 69

Series:
Quantitative Applications in the Social Sciences

Other Titles in:
Quantitative/Statistical Research (General)

July 1989 | 96 pages | SAGE Publications, Inc

Description
Contents

For anyone in need of a concise, introductory guide to principal components analysis, this book is a must. Through an effective use of simple mathematical-geometrical and multiple real-life examples (such as crime statistics, indicators of drug abuse, and educational expenditures) -- and by minimizing the use of matrix algebra -- the reader can quickly master and put this technique to immediate use.

Introduction

Basic Concepts of Principal Components

Geometrical Properties of Principal Components

Decomposition Properties of Principal Components

Principal Components of Patterned Correlation Matrices

Rotation of Principal Components

Using Principal Components to Select a Subset of Variables

Principal Components Versus Factor Analysis

Uses of Principal Components in Regression Analysis

Using Principal Components to Detect Outlying and Influential Observations

Use of Principal Components in Cluster Analysis

Use of Principal Components Analysis in Conjunction with Other Multivariate Analysis Procedures

Other Techniques Related to Principal Components

Summary and Conclusions

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