Applied Multivariate Analysis

✍ Scribed by Ira H. Bernstein, Calvin P. Garbin, Gary K. Teng (auth.)

• Publisher: Springer-Verlag New York
• Year: 1988
• Tongue: English
• Leaves: 523
• Edition: 1
• Category: Library

✦ Synopsis

Like most academic authors, my views are a joint product of my teaching and my research. Needless to say, my views reflect the biases that I have acquired. One way to articulate the rationale (and limitations) of my biases is through the preface of a truly great text of a previous era, Cooley and Lohnes (1971, p. v). They draw a distinction between mathematical statisticians whose intel­ lect gave birth to the field of multivariate analysis, such as Hotelling, Bartlett, and Wilks, and those who chose to "concentrate much of their attention on methods of analyzing data in the sciences and of interpreting the results of statistical analysis . . . . (and) . . . who are more interested in the sciences than in mathematics, among other characteristics. " I find the distinction between individuals who are temperamentally "mathe­ maticians" (whom philosophy students might call "Platonists") and "scientists" ("Aristotelians") useful as long as it is not pushed to the point where one assumes "mathematicians" completely disdain data and "scientists" are never interested in contributing to the mathematical foundations of their discipline. I certainly feel more comfortable attempting to contribute in the "scientist" rather than the "mathematician" role. As a consequence, this book is primarily written for individuals concerned with data analysis. However, as noted in Chapter 1, true expertise demands familiarity with both traditions.

✦ Table of Contents

Front Matter....Pages i-xix
Introduction and Previe....Pages 1-21
Some Basic Statistical Concepts....Pages 22-56
Some Matrix Concepts....Pages 57-88
Multiple Regression and Correlation—Part 1. Basic Concepts....Pages 89-120
Multiple Regression and Correlation—Part 2. Advanced Applications....Pages 121-156
Exploratory Factor Analysis....Pages 157-197
Confirmatory Factor Analysis....Pages 198-245
Classification Methods—Part 1. Forming Discriminant Axes....Pages 246-275
Classification Methods—Part 2. Methods of Assignment....Pages 276-314
Classification Methods—Part 3. Inferential Considerations in the MANOVA....Pages 315-344
Profile and Canonical Analysis....Pages 345-375
Analysis of Scales....Pages 376-409
Back Matter....Pages 410-508

✦ Subjects

Statistics for Business/Economics/Mathematical Finance/Insurance; Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law