An invariant approach to statistical analysis of shapes. (©2001)

• Record Type: Book
• Further Information: Note: Subhash R. Lele, Joan T. Richtsmeier.
• Other Names: Lele, Subhash; Richtsmeier, Joan T
• Contents: INTRODUCTION; A Brief History of Morphometrics; Foundations for the Study of Biological Forms; Description of the data Sets; MORPHOMETRIC DATA; Types of Morphometric Data; Landmark Homology and Correspondence; Collection of Landmark Coordinates; Reliability of Landmark Coordinate Data; Summary; STATISTICAL MODELS FOR LANDMARK COORDINATE DATA; Statistical Models in General; Models for Intra-Group Variability; Effect of Nuisance Parameters; Invariance and Elimination of Nuisance Parameters; A Definition of Form; Coordinate System Free Representation of Form; Estimability of the Mean Form and Variance; Analysis of Example Data Sets; Perspective: Some Comments of EDMA versus other Morphometric Methods; Summary; Part 2: Statistical Theory for the Analysis of Single Population; The Perturbation Model; Invariance and the elimination of Nuisance Parameters; Estimation of Parameters in the Single Sample Case; Computational Algorithms; STATSTICAL METHODS FOR COMPARISON OF FORMS; Limiting Factors in Morphometrics; Comparing Two Forms: General Set-Up; Superimposition-Based Approaches and Invariance; Transformational Grids for Deformation-Based Approaches and Invariance; The Relationship between Mathematical and Scientific Invariance; An Invariant Approach: Euclidean Distance Matrix Analysis (EDMA); Statistical Hypothesis Testing for Shape Difference; Methods for Exploring the Form Difference Matrix; Example Data Analyses; Summary; Part 2: Statistical Theory for the Comparison of Two Forms; Deformation Approach to Form Difference and Lack of Invariance; Superimposition Methods for Comparison of Forms and Lack of Invariance; Matrix Transformations, Side Conditions, Likelihood, and Identifiability Issues; Form Comparisons Based on Distances; Statistical Properties of the Estimators of Mean Form, Mean Form Difference, and Mean Shape Difference Matrices; Computational Algorithms; THE STUDY OF GROWTH; Longitudinal versus Cross-Sectional Data; Assigning Age and Forming Age-Related Groups; EDMA Applied to the Study of Growth; Growth Difference Matrix Analysis: Comparing Patterns of Growth using Growth Matrices; Example Data Analyses; Producing Hypothetical Morphologies from Forms and Growth Patterns; Summary; CLASSIFICATION, CLUSTERING AND MISCELLANEOUS TOPICS; Classification Problem; Methods of Classification; Dissimilarity measures for Landmark Coordinate Data; Classification Example Analysis; Cluster Analysis; Clustering Example Analysis; FURTHER APPLICATIONS OF EDMA; The Study of Asymmetry; Comparisons of Molecular Structures; Detection of Phylogenetic Signal;
• Publisher Details: Boca Raton, Fla : Chapman & Hall/CRC
• Publication Date: 2001
• Copyright Date: 2001
• Extent: 1 online resource (308 pages), illustrations
• Subjects: 571.3/01/5195; Morphology -- Statistical methods; Statistics as Topic; Anatomy; Morphology -- Mathematics; Morphologie -- Méthodes statistiques; Morphologie -- Mathématiques; SCIENCE -- Life Sciences -- Anatomy & Physiology; Morphology -- Statistical methods; Electronic books
• Languages: English
• ISBNs: 1420036173; 9781420036176
• Related ISBNs: 0849303192; 9780849303197
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.