MTU Cork Library Catalogue

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Multivariate statistical methods / Donald F. Morrison.

By: Morrison, Donald F.
Material type: materialTypeLabelBookSeries: McGraw-Hill series in probability and statistics.Publisher: New York : McGraw-Hill, c1976Edition: 2nd ed.Description: xv, 415 p. : ill. ; 24 cm. + hbk.ISBN: 0070431868 .Subject(s): Multivariate analysisDDC classification: 519.53
Contents:
Some elementary statistical concepts -- Matrix algebra -- Samples from the multivariate normal population -- Tests of hypotheses on means -- The multivariate analysis of variance -- Classification by the linear discriminant function -- Inferences from covariance matrices -- The structure of multivariate observations: I principal components -- The structure of multivariate observations II: factor analysis.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
General Lending MTU Bishopstown Library Lending 519.53 (Browse shelf(Opens below)) 1 Available 00037607
Total holds: 0

Includes bibliographical references (pages 346-361) and indexes.

Some elementary statistical concepts -- Matrix algebra -- Samples from the multivariate normal population -- Tests of hypotheses on means -- The multivariate analysis of variance -- Classification by the linear discriminant function -- Inferences from covariance matrices -- The structure of multivariate observations: I principal components -- The structure of multivariate observations II: factor analysis.

Table of contents provided by Syndetics

  • 1 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)
  • 2 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)
  • 3 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)
  • 4 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)
  • 5 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)
  • 6 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)
  • 7 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)
  • Appendix A Tables and Charts (p. 400)
  • Table 1 Upper Critical Values of the Standard Normal Distribution (p. 400)
  • Table 2 Upper Critical Values of the Chi-squared Distribution (p. 401)
  • Table 3 Upper Percentage Points of the t Distribution (p. 402)
  • Table 4 Upper Percentage Points of the F Distribution (p. 403)
  • Table 5 The Fisher z Transformation (p. 405)
  • Table 6 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)
  • Appendix B 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)

Author notes provided by Syndetics

Donald F. Morrison, The Wharton School, University of Pennsylvania

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