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Canonical Analysis

A Review with Applications in Ecology

  • Textbook
  • © 1985

Overview

Authors:
  1. Robert Gittins

    1. Department of Plant Sciences, University of Western Ontario, London, Canada

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Part of the book series: Biomathematics (BIOMATHEMATICS, volume 12)

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XVI
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  2. Introduction

    1. Introduction

      • Robert Gittins
      Pages 1-10

  3. Theory

    1. Front Matter

      Pages 11-11
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    2. Canonical correlations and canonical variates

      • Robert Gittins
      Pages 13-36

    3. Extensions and generalizations

      • Robert Gittins
      Pages 37-66

    4. Canonical variate analysis

      • Robert Gittins
      Pages 67-95

    5. Dual scaling

      • Robert Gittins
      Pages 96-126

  5. Appraisal and prospect

    1. Front Matter

      Pages 227-227
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    2. Applications: assessment and conclusions

      • Robert Gittins
      Pages 229-237

    3. Research issues and future developments

      • Robert Gittins
      Pages 238-288

  6. Back Matter

    Pages 289-351
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Plant Sciences, University of Western Ontario, London, Canada

    Robert Gittins

Bibliographic Information

  • Book Title: Canonical Analysis

  • Book Subtitle: A Review with Applications in Ecology

  • Authors: Robert Gittins

  • Series Title: Biomathematics

  • DOI: https://doi.org/10.1007/978-3-642-69878-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1985

  • Softcover ISBN: 978-3-642-69880-4Published: 08 December 2011

  • eBook ISBN: 978-3-642-69878-1Published: 06 December 2012

  • Series ISSN: 0067-8821

  • Series E-ISSN: 2197-4160

  • Edition Number: 1

  • Number of Pages: XVI, 352

  • Topics: Mathematical and Computational Biology

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