Canonical Analysis

Canonical Analysis PDF Author: R. Gittins
Publisher: Springer
ISBN: 9783642698804
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Relationships between sets of variables of different kinds are of interest in many branches of science. The question of the analysis of relationships of this sort has nevertheless rather surprisingly received less attention from statisticians and others than it would seem to deserve. Of the available methods, that address ing the question most directly is canonical correlation analysis, here referred to for convenience as canonical analysis. Yet canonical analysis is often coolly received despite a lack of suitable alternatives. The purpose of this book is to clarify just what may and what may not be accomplished by means of canoni cal analysis in one field of scientific endeavor. Canonical analysis is concerned with reducing the correlation structure be tween two (or more) sets of variables to its simplest possible form. After a review of the nature and properties of canonical analysis, an assessment of the method as an exploratory tool of use in ecological investigations is made. Applications of canonical analysis to several sets of ecological data are described and discussed with this objective in mind. The examples are drawn largely from plant ecology. The position is adopted that canonical analysis exists primarily to be used; the examples are accordingly worked through in some detail with the aim of showing how canonical analysis can contribute towards the attainment of ecological goals, as well as to indicate the kind and extent of the insight afforded.

Canonical Analysis

Canonical Analysis PDF Author: R. Gittins
Publisher: Springer
ISBN: 9783642698804
Category : Mathematics
Languages : en
Pages : 0

Get Book Here

Book Description
Relationships between sets of variables of different kinds are of interest in many branches of science. The question of the analysis of relationships of this sort has nevertheless rather surprisingly received less attention from statisticians and others than it would seem to deserve. Of the available methods, that address ing the question most directly is canonical correlation analysis, here referred to for convenience as canonical analysis. Yet canonical analysis is often coolly received despite a lack of suitable alternatives. The purpose of this book is to clarify just what may and what may not be accomplished by means of canoni cal analysis in one field of scientific endeavor. Canonical analysis is concerned with reducing the correlation structure be tween two (or more) sets of variables to its simplest possible form. After a review of the nature and properties of canonical analysis, an assessment of the method as an exploratory tool of use in ecological investigations is made. Applications of canonical analysis to several sets of ecological data are described and discussed with this objective in mind. The examples are drawn largely from plant ecology. The position is adopted that canonical analysis exists primarily to be used; the examples are accordingly worked through in some detail with the aim of showing how canonical analysis can contribute towards the attainment of ecological goals, as well as to indicate the kind and extent of the insight afforded.

Canonical Analysis

Canonical Analysis PDF Author: R. Gittins
Publisher: Springer Science & Business Media
ISBN: 3642698786
Category : Mathematics
Languages : en
Pages : 360

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Book Description
Relationships between sets of variables of different kinds are of interest in many branches of science. The question of the analysis of relationships of this sort has nevertheless rather surprisingly received less attention from statisticians and others than it would seem to deserve. Of the available methods, that address ing the question most directly is canonical correlation analysis, here referred to for convenience as canonical analysis. Yet canonical analysis is often coolly received despite a lack of suitable alternatives. The purpose of this book is to clarify just what may and what may not be accomplished by means of canoni cal analysis in one field of scientific endeavor. Canonical analysis is concerned with reducing the correlation structure be tween two (or more) sets of variables to its simplest possible form. After a review of the nature and properties of canonical analysis, an assessment of the method as an exploratory tool of use in ecological investigations is made. Applications of canonical analysis to several sets of ecological data are described and discussed with this objective in mind. The examples are drawn largely from plant ecology. The position is adopted that canonical analysis exists primarily to be used; the examples are accordingly worked through in some detail with the aim of showing how canonical analysis can contribute towards the attainment of ecological goals, as well as to indicate the kind and extent of the insight afforded.

Canonical Analysis and Factor Comparison

Canonical Analysis and Factor Comparison PDF Author: Mark S. Levine
Publisher: SAGE
ISBN: 9780803906556
Category : Mathematics
Languages : en
Pages : 68

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Book Description
Canonical correlational analysis; Factor comparison techniques; References.

Canonical Correlation Analysis

Canonical Correlation Analysis PDF Author: Bruce Thompson
Publisher: SAGE
ISBN: 9780803923928
Category : Mathematics
Languages : en
Pages : 76

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Book Description
Recent advances both in statistical methodology and in computer automation are making canonical correlation analysis available to more and more researchers. In an essentially nonmathematical presentation that provides numerous examples, this volume explains the basic features of this sophisticated technique. Learn more about "The Little Green Book" - QASS Series! Click Here

Canonical Analysis in Marketing Research

Canonical Analysis in Marketing Research PDF Author: Frank J. Carmone
Publisher: Marketing Classics Press
ISBN: 1613111746
Category : Business & Economics
Languages : en
Pages : 16

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Book Description


Methods of Multivariate Analysis

Methods of Multivariate Analysis PDF Author: Alvin C. Rencher
Publisher: John Wiley & Sons
ISBN: 0471461725
Category : Mathematics
Languages : en
Pages : 739

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Book Description
Amstat News asked three review editors to rate their top five favorite books in the September 2003 issue. Methods of Multivariate Analysis was among those chosen. When measuring several variables on a complex experimental unit, it is often necessary to analyze the variables simultaneously, rather than isolate them and consider them individually. Multivariate analysis enables researchers to explore the joint performance of such variables and to determine the effect of each variable in the presence of the others. The Second Edition of Alvin Rencher's Methods of Multivariate Analysis provides students of all statistical backgrounds with both the fundamental and more sophisticated skills necessary to master the discipline. To illustrate multivariate applications, the author provides examples and exercises based on fifty-nine real data sets from a wide variety of scientific fields. Rencher takes a "methods" approach to his subject, with an emphasis on how students and practitioners can employ multivariate analysis in real-life situations. The Second Edition contains revised and updated chapters from the critically acclaimed First Edition as well as brand-new chapters on: Cluster analysis Multidimensional scaling Correspondence analysis Biplots Each chapter contains exercises, with corresponding answers and hints in the appendix, providing students the opportunity to test and extend their understanding of the subject. Methods of Multivariate Analysis provides an authoritative reference for statistics students as well as for practicing scientists and clinicians.

Discriminant Analysis

Discriminant Analysis PDF Author: William R. Klecka
Publisher: SAGE
ISBN: 9780803914919
Category : Reference
Languages : en
Pages : 76

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Book Description
Background. Deriving the canonical discriminant functions. Interpreting the canonical discriminant functions. Classification procedures. Stepwise inclusion of variables. Concluding remarks.

The Theory of Canonical Moments with Applications in Statistics, Probability, and Analysis

The Theory of Canonical Moments with Applications in Statistics, Probability, and Analysis PDF Author: Holger Dette
Publisher: John Wiley & Sons
ISBN: 9780471109914
Category : Mathematics
Languages : en
Pages : 368

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Book Description
This new material is concerned with the theory and applications of probability, statistics and analysis of canonical moments. It provides a powerful tool for the determination of optimal experimental designs, for the calculation of the main characteristics of random walks, and for other moment problems appearing in probability and statistics.

Developments in Numerical Ecology

Developments in Numerical Ecology PDF Author: Pierre Legendre
Publisher: Springer Science & Business Media
ISBN: 3642708803
Category : Science
Languages : en
Pages : 583

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Book Description
From earlier ecological studies it has become apparent that simple univariate or bivariate statistics are often inappropriate, and that multivariate statistical analyses must be applied. Despite several difficulties arising from the application of multivariate methods, community ecology has acquired a mathematical framework, with three consequences: it can develop as an exact science; it can be applied operationally as a computer-assisted science to the solution of environmental problems; and it can exchange information with other disciplines using the language of mathematics. This book comprises the invited lectures, as well as working group reports, on the NATO workshop held in Roscoff (France) to improve the applicability of this new method numerical ecology to specific ecological problems.

Nonlinear Canonical Correlation and Some Related Techniques

Nonlinear Canonical Correlation and Some Related Techniques PDF Author: Eeke van der Burg
Publisher:
ISBN:
Category : Canonical correlation (Statistics).
Languages : en
Pages : 256

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Book Description