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Multivariate Statistical Methods

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ISBN-10: 0534387780

ISBN-13: 9780534387785

Edition: 4th 2005 (Revised)

Authors: Donald F. Morrison

List price: $324.95
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MULTIVARIATE STATISTICAL METHODS fills a void in the marketplace, striking a crucial balance between the technical information and real-world applications of multivariate statistics. Donald Morrison has taught this course at the Wharton School for 33 years, and he has integrated his demonstrably successful teaching style into this textbook.
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Book details

List price: $324.95
Edition: 4th
Copyright year: 2005
Publisher: Brooks/Cole
Publication date: 5/25/2004
Binding: Hardcover
Pages: 498
Size: 7.25" wide x 9.25" long x 1.00" tall
Weight: 1.936
Language: English

Samples from the Multivariate Normal Population
Introduction
Why Do We Need Multivariate Methods?
Multidimensional Random Variables
The Multivariate Normal Distribution
Conditional and Marginal Distributions of Multinormal Variates
Samples from the Multinormal Population
Correlation and Regression
Simultaneous Inferences about Regression Coefficients
Inferences about the Correlation Matrix
Samples with Incomplete Observations
Exercises
Tests of Hypotheses on Means
Introduction
Tests on Means and the T[superscript 2] Statistic
Simultaneous Inferences for Means
The Case of Two Samples
The Analysis of Repeated-Measurements
Groups of Repeated Measurements: The Paired T[superscript 2] Test
Profile Analysis for Two Independent Groups
The Power of Tests on Mean Vectors
Some Tests with Known Covariance Matrices
Tests for Outlying Observations
Testing the Normality Assumption
Exercises
The Multivariate Analysis of Variance
Introduction
The Multivariate General Linear Model
The Multivariate Analysis of Variance
The Multivariate Analysis of Covariance
Multiple Comparisons in the Multivariate Analysis of Variance
Profile Analysis
Curve Fitting for Repeated Measurements
Other Test Criteria
Exercises
Classification by Discriminant Functions
Introduction
The Linear Discriminant Function for Two Groups
Classification with Known Parameters
The Case of Unequal Covariance Matrices
Estimation of the Misclassification Probabilities
Classification for Several Groups
Linear Discrimination with a Singular Covariance Matrix
Classification by Logistic Regression
Some Further Aspects of Classification
Exercises
Inferences from Covariance Matrices
Introduction
Hypothesis Tests for a Single Covariance Matrix
Tests for Two Special Patterns
Testing the Equality of Several Covariance Matrices
Testing the Independence of Sets of Variates
Canonical Correlation
Exercises
The Structure of Multivariate Observations: I. Principal Components
Introduction
The Principal Components of Multivariate Observations
The Geometrical Meaning of Principal Components
The Interpretation of Principal Components
Some Patterned Matrices and Their Principal Components
The Sampling Properties of Principal Components
Some Further Topics
Exercises
The Structure of Multivariate Observations: II. Factor Analysis
Introduction
The Mathematical Model for Factor Analysis
Estimation of the Factor Loadings
Testing the Goodness of Fit of the Factor Model
Examples of Factor Analyses
Factor Rotation
An Alternative Model for Factor Analysis
The Evaluation of Factors
Models for the Dependence Structure of Ordered Responses
Clustering Sampling Units
Multidimensional Scaling
Exercises
References
Tables and Charts
Upper Critical Values of the Standard Normal Distribution
Upper Critical Values of the Chi-squared Distribution
Upper Percentage Points of the t Distribution
Upper Percentage Points of the F Distribution
The Fisher z Transformation
Minimum Sample Sizes for a Single-Sample Repeated Measures Design
Charts 1-8: Power Functions of the F Test
Charts 9-16 and Table 7-15: Upper percentage points of the largest characteristic root
Data Sets
Wechsler Adult Intelligence Scale subtest scores
Iris Species Petal and Sepal Measurements
Obesity Study Biochemical Levels
Financial Ratios of Solvent and Financially Distressed Property Liability Insurers
Financial Ratios of Bankrupt and Solvent Companies
Dimensions and Characteristics of Winged Aphids (Alate adelges)
Exchangeable Cations in Forest Soil
Average Instructor and Course Evaluations for Business School Faculty Members
Name Index
Subject Index