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Multivariate Statistical Methods Bryan F.J. Manly (University of Otago, Dunedin, New Zealand)

Multivariate Statistical Methods By Bryan F.J. Manly (University of Otago, Dunedin, New Zealand)

Multivariate Statistical Methods by Bryan F.J. Manly (University of Otago, Dunedin, New Zealand)


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Summary

Multivariate methods are widely used in the quantitative sciences as well as in statistics because of the ready availability of computer packages for performing the calculations. This book introduces these methods and provides a general overview of the techniques. It provides an introduction to useful tools for statistical analysis.

Multivariate Statistical Methods Summary

Multivariate Statistical Methods: A Primer, Third Edition by Bryan F.J. Manly (University of Otago, Dunedin, New Zealand)

Multivariate methods are now widely used in the quantitative sciences as well as in statistics because of the ready availability of computer packages for performing the calculations. While access to suitable computer software is essential to using multivariate methods, using the software still requires a working knowledge of these methods and how they can be used.

Multivariate Statistical Methods: A Primer, Third Edition introduces these methods and provides a general overview of the techniques without overwhelming you with comprehensive details. This thoroughly revised, updated edition of a best-selling introductory text retains the author's trademark clear, concise style but includes a range of new material, new exercises, and supporting materials on the Web.

New in the Third Edition:

  • Fully updated references
  • Additional examples and exercises from the social and environmental sciences
  • A comparison of the various statistical software packages, including Stata, Statistica, SAS Minitab, and Genstat, particularly in terms of their ease of use by beginners

    In his efforts to produce a book that is as short as possible and that enables you to begin to use multivariate methods in an intelligent manner, the author has produced a succinct and handy reference. With updated information on multivariate analyses, new examples using the latest software, and updated references, this book provides a timely introduction to useful tools for statistical analysis.
  • Table of Contents

    THE MATERIAL OF MULTIVARIATE ANALYSIS
    Examples of Multivariate Data
    Preview of Multivariate Methods
    The Multivariate Normal Distribution
    Computer Programs
    Graphical Methods
    Chapter Summary
    References

    MATRIX ALGEBRA
    The Need for Matrix Algebra
    Matrices and Vectors
    Operations on Matrices
    Matrix Inversion
    Quadratic Forms
    Eigenvalues and Eigenvectors
    Vectors of Means and Covariance Matrices
    Further Reading
    Chapter Summary
    References

    DISPLAYING MULTIVARIATE DATA
    The Problem of Displaying Many Variables in Two Dimensions
    Plotting index Variables
    The Draftsman's Plot
    The Representation of Individual Data P:oints
    Profiles of Variables
    Discussion and Further Reading
    Chapter Summary
    References

    TESTS OF SIGNIFICANCE WITH MULTIVARIATE DATA
    Simultaneous Tests on Several Varables
    Comparison of Mean Values for Two Samples: The Single Variable Case
    Comparison of Mean Values for Two Samples: The Multivariate Case
    Multivariate Versus Univariate Tests
    Comparison of Variation for Two Samples: The Single Variable Case
    Comparison of Variation for Two Samples: The Multivariate Case
    Comparison of Means for Several Samples
    Comparison of Variation for Several Samples
    Discussion
    Chapter Summary
    Exercises
    References

    MEASURING AND TESTING MULTIVARIATE DISTANCES
    Multivariate Distances
    Distances Between Individual Observations
    Distances Between Populations and Samples
    Distances Based on Proportions
    Presence-Absence data
    The Mantel Randomization Test
    Computer Programs
    Discussion and Further Reading
    Chapter Summary
    Exercise
    References

    PRINCIPAL COMPONENTS ANALYSIS
    Definition of Principal Components
    Procedure for a Principal Components Analysis
    Computer Programs
    Further Reading
    Chapter Summary
    Exercises
    References

    FACTOR ANALYSIS
    The Factor Analysis Model
    Procedure for a Factor Analysis
    Principal Components Factor Analysis
    Using a Factor Analysis Program to do Principal Components Analysis
    Options in Analyses
    The Value of Factor Analysis
    Computer Programs
    Discussion and Further Reading
    Chapter Summary
    Exercise
    References

    DISCRIMINANT FUNCTION ANALYSIS
    The Problem of Separating Groups
    Discrimination Using Mahalanobis Distances
    Canonical Discriminant Functions
    Tests of Significance
    Assumptions
    Allowing for Prior Probabilities of Group Membership
    Stepwise Discriminant Function Analysis
    Jackknife Classification of Individuals
    Assigning of Ungrouped Individuals to Groups
    Logistic Regression
    Computer Programs
    Discussion and Further Reading
    Chapter Summary
    Exercises
    References

    CLUSTER ANALYSIS
    Uses of Cluster analysis
    Types of Cluster Analysis
    Hierarchic Methods
    Problems of Cluster Analysis
    Measures of Distance
    Principal Components Analysis with Cluster Analysis
    Computer Programs
    Discussion and Further Reading
    Chapter Summary
    Exercises
    References

    CANONICAL CORRELATION ANALYSIS
    Generalizing a Multiple Regression Analysis
    Procedure for a Canonical Correlation Analysis
    Tests of Significance
    Interpreting Canonical Variates
    Computer Programs
    Further Reading
    Chapter Summary
    Exercise
    References

    MULTIDIMENSIONAL SCALING
    Constructing a Map from a Distance Matrix
    Procedure for Multidimensional Scaling
    Computer Programs
    Further Reading
    Chapter Summary
    Exercise
    References

    ORDINATION
    The Ordination Problem
    Principal Components Analysis
    Principal Coordinates Analysis
    Multidimensional Scaling
    Correspondence Analysis
    Comparison of Ordination Methods
    Computer Programs
    Further Reading
    Chapter Summary
    Exercise
    References

    EPILOGUE
    The Next Step
    Some General Reminders
    Missing Values
    References

    APPENDIX
    Computer Packages for Multivariate Analyses
    References

    Additional information

    GOR007934699
    9781584884149
    1584884142
    Multivariate Statistical Methods: A Primer, Third Edition by Bryan F.J. Manly (University of Otago, Dunedin, New Zealand)
    Used - Very Good
    Paperback
    Taylor & Francis Inc
    20040706
    224
    N/A
    Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
    This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

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