Multivariate Analysis

  1. Cluster Analysis
    1. Clustering Objectives
      1. Pattern Discovery
        1. Data Exploration
          1. Market Segmentation
            1. Taxonomy Development
            2. Types of Clustering
              1. Hierarchical Clustering
                1. Non-Hierarchical Clustering
                  1. Model-Based Clustering
                    1. Density-Based Clustering
                    2. Distance and Similarity Measures
                      1. Euclidean Distance
                        1. Manhattan Distance
                          1. Minkowski Distance
                            1. Mahalanobis Distance
                              1. Cosine Similarity
                                1. Correlation-Based Measures
                                2. Data Standardization for Clustering
                                  1. Z-Score Standardization
                                    1. Range Standardization
                                      1. Variable Weighting
                                      2. Hierarchical Clustering
                                        1. Agglomerative Methods
                                          1. Single Linkage
                                            1. Complete Linkage
                                              1. Average Linkage
                                                1. Ward's Method
                                                  1. Centroid Method
                                                  2. Divisive Methods
                                                    1. Dendrogram Construction
                                                      1. Dendrogram Interpretation
                                                        1. Cluster Cutting Criteria
                                                        2. Non-Hierarchical Clustering
                                                          1. K-Means Clustering
                                                            1. Algorithm Steps
                                                              1. Initialization Methods
                                                                1. Convergence Criteria
                                                                2. K-Medoids Clustering
                                                                  1. Fuzzy C-Means
                                                                  2. Determining Optimal Number of Clusters
                                                                    1. Elbow Method
                                                                      1. Silhouette Analysis
                                                                        1. Gap Statistic
                                                                          1. Information Criteria
                                                                            1. Calinski-Harabasz Index
                                                                              1. Davies-Bouldin Index
                                                                              2. Cluster Validation
                                                                                1. Internal Validation Measures
                                                                                  1. External Validation Measures
                                                                                    1. Stability Analysis
                                                                                      1. Bootstrap Methods
                                                                                      2. Cluster Interpretation
                                                                                        1. Cluster Profiling
                                                                                          1. Variable Means Comparison
                                                                                            1. Discriminant Analysis
                                                                                              1. Visualization Methods

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                                                                                            10. Logistic Regression

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                                                                                            12. Canonical Correlation Analysis