Introduction Analysis of Mezzich's Data Analysis of Food and Cancer Data Analysis of Greenacre's Data Analysis of Tocher's Data A Summary of the Analyses in This Chapter Mathematical Foundation Preliminaries Projection Matrices Singular Value Decomposition (SVD) Constrained Principal Component Analysis (CPCA) Data Requirements CPCA: Method Generalizations Special Cases and Related Methods Pre- and Postprocessings Redundancy Analysis (RA) Canonical Correlation Analysis (CANO) Canonical Discriminant Analysis (CDA) Multidimensional Scaling (MDS) Correspondence Analysis (CA) Constrained CA Nonsymmetric CA (NSCA) Multiple-Set CANO (GCANO) Multiple Correspondence Analysis (MCA) Vector Preference Models Two-Way CANDELINC Growth Curve Models (GCM) Extended Growth Curve Models (ExGCM) Seemingly Unrelated Regression (SUR) Wedderburn-Guttman Decomposition Multilevel RA (MLRA) Weighted Low Rank Approximations (WLRA) Orthogonal Procrustes Rotation PCA of Image Data Matrices Related Topics of Interest Dimensionality Selection Reliability Assessment Determining the Value of δ Missing Data Robust Estimations Data Transformations Biplot Probabilistic PCA Different Constraints on Different Dimensions (DCDD) Model and Algorithm Additional Constraints Example 1 Example 2 Residual Analysis Graphical Display of Oblique Components Extended Redundancy Analysis (ERA) Generalized Structured Component Analysis (GSCA) Epilogue Appendix Bibliography Index t;BR>Nonsymmetric CA (NSCA) Multiple-Set CANO (GCANO) Multiple Correspondence Analysis (MCA) Vector Preference Models Two-Way CANDELINC Growth Curve Models (GCM) Extended Growth Curve Models (ExGCM) Seemingly Unrelated Regression (SUR) Wedderburn-Guttman Decomposition Multilevel RA (MLRA) Weighted Low Rank Approximations (WLRA) Orthogonal Procrustes Rotation PCA of Image Data Matrices Related Topics of Interest Dimensionality Selection Reliability Assessment Determining the Value of δ Missing Data Robust Estimations Data Transformations Biplot Probabilistic PCA Different Constraints on Different Dimensions (DCDD) Model and Algorithm Additional Constraints Example 1 Example 2 Residual Analysis Graphical Display of Oblique Components Extended Redundancy Analysis (ERA) Generalized Structured Component Analysis (GSCA) Epilogue Appendix Bibliography Index nd Algorithm Additional Constraints Example 1 Example 2 Residual Analysis Graphical Display of Oblique Components Extended Redundancy Analysis (ERA) Generalized Structured Component Analysis (GSCA) Epilogue Appendix Bibliography Index.