Multivariate Analysis

  1. Multidimensional Scaling
    1. MDS Objectives
      1. Spatial Representation
        1. Similarity Visualization
          1. Perceptual Mapping
            1. Dimensionality Reduction
            2. Input Data Types
              1. Similarity Data
                1. Dissimilarity Data
                  1. Distance Matrices
                    1. Proximity Measures
                    2. Types of MDS
                      1. Classical MDS (Metric)
                        1. Euclidean Distance Model
                          1. Principal Coordinates Analysis
                          2. Non-Metric MDS
                            1. Ordinal Data Handling
                              1. Monotonic Transformation
                            2. Classical MDS Procedure
                              1. Distance Matrix Analysis
                                1. Double Centering
                                  1. Eigenvalue Decomposition
                                    1. Coordinate Extraction
                                    2. Non-Metric MDS Procedure
                                      1. Stress Function
                                        1. Iterative Optimization
                                          1. Kruskal's Algorithm
                                            1. Shepard Diagram
                                            2. Determining Dimensionality
                                              1. Stress Values
                                                1. Scree Plot
                                                  1. Interpretability
                                                    1. Elbow Criterion
                                                    2. MDS Solution Interpretation
                                                      1. Spatial Configuration
                                                        1. Dimension Interpretation
                                                          1. Cluster Identification
                                                          2. Goodness-of-Fit Assessment
                                                            1. Stress Measures
                                                              1. R-Squared
                                                                1. Shepard Diagram Analysis
                                                                2. MDS Variants
                                                                  1. Individual Differences Scaling (INDSCAL)
                                                                    1. Weighted MDS
                                                                      1. Unfolding Models

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                                                                    12. Canonical Correlation Analysis

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                                                                    14. Advanced Multivariate Methods