『A Course in Morphometrics for Biologists: Geometry and Statistics for Studies of Organismal Form』詳細目次

Fred L. Bookstein
(2018年10月刊行, Cambridge University Press, Cambridge, xviii+527 pp., ISBN:9781107190948 [hbk] → 版元ページコンパニオンサイト

【目次】
Frontmatter i
Epigraphs v
Dedication vi
Preface xiii

1. What This Book Is About 1

 1.1 Overview: Where Morphometrics Draws Its Ideas 1
 1.2 Our Basic Orientation: From Arithmetic to Understanding 8
 1.3 The Professional Setting (A Brief Intellectual Story) 12
 1.4 A More Detailed Preview of Coming Attractions 18

2. Getting Started: One or Two Measurements Only 23

 2.1 Elementary Averages from an Intermediate Standpoint 26
 2.2 Lines for Laws 40
 2.3 Gaussian Distributions and Galton's Quincunx 59
 2.4 Correlation 86
 2.5 Further Useful Formulas for This Setting 100
 2.6 Other Data Structures 112

3. Multiple Regression, in General and in Special Settings 137

 3.1 The General Logic of Multiple Regression 140
 3.2 Added-Variable Plots 163
 3.3 Special Case 1: Analysis of Covariance 177
 3.4 Special Case 2: Growth Series 198
 3.5 Special Case 3a: Linear Discriminant Analysis 208
 3.6 Special Case 3b: Quadratic Discrimination 222

4. Transition to Multivariate Analysis 241

 4.1 Aspects of Covariance Structure: An Introduction 242
 4.2 The Singular-Value Decomposition and Its Applications in Morphometrics 264
 4.3 The Wishart Dstribution: Its Formula and a Sketch of Its Justification 290

5. Geometric Morphometrics: Its Geometry and Its Pattern Analysis 322

 5.1 The Data of Geometric Morphometrics: How We Keep Our Place in an Anatomy 327
 5.2 Pattern Descriptors for Landmarks Taken Three at a Time 361
 5.3 Procrustes Matters: The Least-Squares Approach to Morphometrics 384
 5.4 Procrustes Coordinates, a Different Set of Shape Coordinates 397
 5.5 Thin-Plate Splines 425
 5.6 Finishing the Main Examples, Along with Some New Ones 448
 5.7 Envoi 489

 

References 494
Index 506

 

Appendix URL: http://www.cambridge.org/9781107190948