Multivariate Statistics for Wildlife and Ecology Research - McGarigal, Kevin; Cushman, Samuel A.; Stafford, Susan; SpringerLink (Online service) (New York, NY : Springer New York : Imprint: Springer, 2000)
1 Introduction and Overview -- 1.1 Objectives -- 1.2 Multivariate Statistics: An Ecological Perspective -- 1.3 Multivariate Description and Inference -- 1.4 Multivariate Confusion! -- 1.5 Types of Multivariate Techniques -- 2 Ordination: Principal Components Analysis -- 2.1 Objectives -- 2.2 Conceptual Overview -- 2.3 Geometric Overview -- 2.4 The Data Set -- 2.5 Assumptions -- 2.6 Sample Size Requirements -- 2.7 Deriving the Principal Components -- 2.8 Assessing the Importance of the Principal Components -- 2.9 Interpreting the Principal Components -- 2.10 Rotating the Principal Components -- 2.11 Limitations of Principal Components Analysis -- 2.12 R-Factor Versus Q-Factor Ordination -- 2.13 Other Ordination Techniques -- Appendix 2.1 -- 3 Cluster Analysis -- 3.1 Objectives -- 3.2 Conceptual Overview -- 3.3 The Definition of Cluster -- 3.4 The Data Set -- 3.5 Clustering Techniques -- 3.6 Nonhierarchical Clustering -- 3.7 Hierarchical Clustering -- 3.8 Evaluating the Stability of the Cluster Solution -- 3.9 Complementary Use of Ordination and Cluster Analysis -- 3.10 Limitations of Cluster Analysis -- Appendix 3.1 -- 4 Discriminant Analysis -- 4.1 Objectives -- 4.2 Conceptual Overview -- 4.3 Geometric Overview -- 4.4 The Data Set -- 4.5 Assumptions -- 4.6 Sample Size Requirements -- 4.7 Deriving the Canonical Functions -- 4.8 Assessing the Importance of the Canonical Functions -- 4.9 Interpreting the Canonical Functions -- 4.10 Validating the Canonical Functions -- 4.11 Limitations of Discriminant Analysis -- Appendix 4.1 -- 5 Canonical Correlation Analysis -- 5.1 Objectives -- 5.2 Conceptual Overview -- 5.3 Geometric Overview -- 5.4 The Data Set -- 5.5 Assumptions -- 5.6 Sample Size Requirements -- 5.7 Deriving the Canonical Variates -- 5.8 Assessing the Importance of the Canonical Variates -- 5.9 Interpreting the Canonical Variates -- 5.10 Validating the Canonical Variates -- 5.11 Limitations of Canonical Correlation Analysis -- Appendix 5.1 -- 6 Summary and Comparison -- 6.1 Objectives -- 6.2 Relationship Among Techniques -- 6.3 Complementary Use of Techniques -- Appendix: Acronyms Used in This Book. .
Keywords: Ecology .; Biomathematics; Environmental sciences; Wildlife; Fish; Statistics .; Theoretical Ecology/Statistics.; Ecology; Mathematical and Computational Biology; Math. Appl. in Environmental Science; Fish & Wildlife Biology & Management; Statistics for Life Sciences, Medicine, Health Sciences