Cover image for Applied Multivariate Analysis
Title:
Applied Multivariate Analysis
Author:
Timm, Neil H. editor.
ISBN:
9780387227719
Physical Description:
XXIV, 695 p. 7 illus. online resource.
Series:
Springer Texts in Statistics,
Contents:
Vectors and Matrices -- Multivariate Distributions and the Linear Model -- Multivariate Regression Models -- Seemingly Unrelated Regression Models -- Multivariate Random and Mixed Models -- Discriminant and Classification Analysis -- Principal Component, Canonical Correlation, and Exploratory Factor Analysis -- Cluster Analysis and Multidimensional Scaling -- Structural Equation Models.
Abstract:
Univariate statistical analysis is concerned with techniques for the analysis of a single random variable. This book is about applied multivariate analysis. It was written to p- vide students and researchers with an introduction to statistical techniques for the ana- sis of continuous quantitative measurements on several random variables simultaneously. While quantitative measurements may be obtained from any population, the material in this text is primarily concerned with techniques useful for the analysis of continuous obser- tions from multivariate normal populations with linear structure. While several multivariate methods are extensions of univariate procedures, a unique feature of multivariate data an- ysis techniques is their ability to control experimental error at an exact nominal level and to provide information on the covariance structure of the data. These features tend to enhance statistical inference, making multivariate data analysis superior to univariate analysis. While in a previous edition of my textbook on multivariate analysis, I tried to precede a multivariate method with a corresponding univariate procedure when applicable, I have not taken this approach here. Instead, it is assumed that the reader has taken basic courses in multiple linear regression, analysis of variance, and experimental design. While students may be familiar with vector spaces and matrices, important results essential to multivariate analysis are reviewed in Chapter 2. I have avoided the use of calculus in this text.
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Summary

Summary

This book provides a broad overview of the basic theory and methods of applied multivariate analysis. The presentation integrates both theory and practice including both the analysis of formal linear multivariate models and exploratory data analysis techniques. Each chapter contains the development of basic theoretical results with numerous applications illustrated using examples from the social and behavioral sciences, and other disciplines. All examples are analyzed using SAS for Windows Version 8.0.