Multivariate Statistical Methods

Name: Multivariate Statistical Methods
Price: 6.75 USD
Availability: InStock
ISBN: 9780070431867

ISBN-10: 0070431868

ISBN-13: 9780070431867

Edition: 2nd 1976

Authors: Donald F. Morrison

List price: $46.63

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Book details

List price: $46.63
Edition: 2nd
Copyright year: 1976
Publisher: McGraw-Hill Companies, The
Binding: Cloth Text
Language: English

Samples from the Multivariate Normal Population	p. 1
Introduction	p. 1
Why Do We Need Multivariate Methods?	p. 1
Multidimensional Random Variables	p. 3
The Multivariate Normal Distribution	p. 8
Conditional and Marginal Distributions of Multinormal Variates	p. 14
Samples from the Multinormal Population	p. 20
Correlation and Regression	p. 25
Simultaneous Inferences about Regression Coefficients	p. 34
Inferences about the Correlation Matrix	p. 38
Samples with Incomplete Observations	p. 43
Exercises	p. 46
Tests of Hypotheses on Means	p. 55
Introduction	p. 55
Tests on Means and the T[superscript 2] Statistic	p. 55
Simultaneous Inferences for Means	p. 62
The Case of Two Samples	p. 64
The Analysis of Repeated-Measurements	p. 68
Groups of Repeated Measurements: The Paired T[superscript 2] Test	p. 84
Profile Analysis for Two Independent Groups	p. 87
The Power of Tests on Mean Vectors	p. 93
Some Tests with Known Covariance Matrices	p. 97
Tests for Outlying Observations	p. 99
Testing the Normality Assumption	p. 103
Exercises	p. 108
The Multivariate Analysis of Variance	p. 131
Introduction	p. 131
The Multivariate General Linear Model	p. 131
The Multivariate Analysis of Variance	p. 140
The Multivariate Analysis of Covariance	p. 156
Multiple Comparisons in the Multivariate Analysis of Variance	p. 164
Profile Analysis	p. 172
Curve Fitting for Repeated Measurements	p. 183
Other Test Criteria	p. 190
Exercises	p. 192
Classification by Discriminant Functions	p. 209
Introduction	p. 209
The Linear Discriminant Function for Two Groups	p. 210
Classification with Known Parameters	p. 213
The Case of Unequal Covariance Matrices	p. 215
Estimation of the Misclassification Probabilities	p. 218
Classification for Several Groups	p. 221
Linear Discrimination with a Singular Covariance Matrix	p. 226
Classification by Logistic Regression	p. 230
Some Further Aspects of Classification	p. 232
Exercises	p. 234
Inferences from Covariance Matrices	p. 242
Introduction	p. 242
Hypothesis Tests for a Single Covariance Matrix	p. 242
Tests for Two Special Patterns	p. 245
Testing the Equality of Several Covariance Matrices	p. 247
Testing the Independence of Sets of Variates	p. 249
Canonical Correlation	p. 255
Exercises	p. 260
The Structure of Multivariate Observations: I. Principal Components	p. 264
Introduction	p. 264
The Principal Components of Multivariate Observations	p. 265
The Geometrical Meaning of Principal Components	p. 274
The Interpretation of Principal Components	p. 278
Some Patterned Matrices and Their Principal Components	p. 282
The Sampling Properties of Principal Components	p. 285
Some Further Topics	p. 293
Exercises	p. 298
The Structure of Multivariate Observations: II. Factor Analysis	p. 317
Introduction	p. 317
The Mathematical Model for Factor Analysis	p. 318
Estimation of the Factor Loadings	p. 322
Testing the Goodness of Fit of the Factor Model	p. 327
Examples of Factor Analyses	p. 329
Factor Rotation	p. 334
An Alternative Model for Factor Analysis	p. 340
The Evaluation of Factors	p. 342
Models for the Dependence Structure of Ordered Responses	p. 345
Clustering Sampling Units	p. 351
Multidimensional Scaling	p. 357
Exercises	p. 364
References	p. 371
Tables and Charts	p. 400
Upper Critical Values of the Standard Normal Distribution	p. 400
Upper Critical Values of the Chi-squared Distribution	p. 401
Upper Percentage Points of the t Distribution	p. 402
Upper Percentage Points of the F Distribution	p. 403
The Fisher z Transformation	p. 405
Minimum Sample Sizes for a Single-Sample Repeated Measures Design	p. 406
Charts 1-8: Power Functions of the F Test	p. 410
Charts 9-16 and Table 7-15: Upper percentage points of the largest characteristic root	p. 418
Data Sets	p. 443
Wechsler Adult Intelligence Scale subtest scores	p. 443
Iris Species Petal and Sepal Measurements	p. 445
Obesity Study Biochemical Levels	p. 447
Financial Ratios of Solvent and Financially Distressed Property Liability Insurers	p. 449
Financial Ratios of Bankrupt and Solvent Companies	p. 452
Dimensions and Characteristics of Winged Aphids (Alate adelges)	p. 454
Exchangeable Cations in Forest Soil	p. 455
Average Instructor and Course Evaluations for Business School Faculty Members	p. 457
Name Index	p. 461
Subject Index	p. 465
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