Multivariate Analysis for the Biobehavioral and Social Sciences: A Graphical Approach

An insightful guide to understanding and visualizing multivariate statistics using SAS®, STATA®, and SPSS®

Multivariate Analysis for the Biobehavioral and Social Sciences: A Graphical Approach outlines the essential multivariate methods for understanding data in the social and biobehavioral sciences. Using real–world data and the latest software applications, the book addresses the topic in a comprehensible and hands–on manner, making complex mathematical concepts accessible to readers.

The authors promote the importance of clear, well–designed graphics in the scientific process, with visual representations accompanying the presented classical multivariate statistical methods . The book begins with a preparatory review of univariate statistical methods recast in matrix notation, followed by an accessible introduction to matrix algebra. Subsequent chapters explore fundamental multivariate methods and related key concepts, including:

Factor analysis and related methods

Multivariate graphics

Canonical correlation

Hotelling′s T–squared

Multivariate analysis of variance (MANOVA)

Multiple regression and the general linear model (GLM)

Each topic is introduced with a research–publication case study that demonstrates its real–world value. Next, the question "how do you do that?" is addressed with a complete, yet simplified, demonstration of the mathematics and concepts of the method. Finally, the authors show how the analysis of the data is performed using Stata®, SAS®, and SPSS®. The discussed approaches are also applicable to a wide variety of modern extensions of multivariate methods as well as modern univariate regression methods. Chapters conclude with conceptual questions about the meaning of each method; computational questions that test the reader′s ability to carry out the procedures on simple datasets; and data analysis questions for the use of the discussed software packages.

Multivariate Analysis for the Biobehavioral and Social Sciences is an excellent book for behavioral, health, and social science courses on multivariate statistics at the graduate level. The book also serves as a valuable reference for professionals and researchers in the social, behavioral, and health sciences who would like to learn more about multivariate analysis and its relevant applications.

1 OVERVIEW OF MULTIVARIATE AND REGRESSION METHODS 1

2 THE SEVEN HABITS OF HIGHLY EFFECTIVE QUANTS: A REVIEW OF ELEMENTARY STATISTICS USING MATRIX ALGEBRA 20

3 FUNDAMENTALS OF MATRIX ALGEBRA 88

4 FACTOR ANALYSIS AND RELATED METHODS: QUINTESSENTIALLY MULTIVARIATE 139

5 MULTIVARIATE GRAPHICS 227  

6 CANONICAL CORRELATION: THE UNDERUSED METHOD 283

7 HOTELLING S T 2 AS THE SIMPLEST CASE OF MULTIVARIATE INFERENCE 333

8 MULTIVARIATE ANALYSIS OF VARIANCE 351

9 MULTIPLE REGRESSION AND THE GENERAL LINEAR MODEL 373

APPENDICES: STATISTICAL TABLES 443

NAME INDEX 456

SUBJECT INDEX 460

Bruce L. Brown, PhD, is Professor of Psychology at Brigham Young University. He has over thirty years of academic experience working with large scale data analysis methods, and he currently focuses his research on applying these methods to cognitive neuroscience and vocal emotion.

Suzanne B. Hendrix, PhD, is President of Pentara Corporation and an independent consultant to the pharmaceutical industry, with extensive experience in clinical biostatistics. Dr. Hendrix′s current areas of research interest include clinical trial design and reporting in neurodegenerative diseases such as Alzheimer′s and Parkinson′s.

Dawson W. Hedges, MD, is Professor of Psychology at Brigham Young University. He has published extensively in his areas of research interest, which include neuroimaging, posttraumatic stress disorder, psychopharmacology, and psychopathology.

Timothy B. Smith, PhD, is Chair of the Department of Counseling Psychology and Special Education at Brigham Young University. He currently focuses his research on multiculturalism and diversity as well as spirituality and religion in education or counseling.