Business Analytics

  1. Descriptive Analytics
    1. Statistical Foundations
      1. Measures of Central Tendency
        1. Mean
          1. Arithmetic Mean
            1. Weighted Mean
              1. Geometric Mean
              2. Median
                1. Calculation Methods
                  1. Robustness to Outliers
                  2. Mode
                    1. Unimodal and Multimodal Distributions
                      1. Applications and Limitations
                    2. Measures of Dispersion
                      1. Range
                        1. Calculation and Interpretation
                          1. Interquartile Range
                          2. Variance
                            1. Population vs. Sample Variance
                              1. Interpretation and Applications
                              2. Standard Deviation
                                1. Calculation and Properties
                                  1. Coefficient of Variation
                                2. Distribution Analysis
                                  1. Normal Distribution
                                    1. Properties and Characteristics
                                      1. Standard Normal Distribution
                                        1. Z-scores and Standardization
                                        2. Skewness
                                          1. Left-skewed and Right-skewed Distributions
                                            1. Measuring Skewness
                                            2. Kurtosis
                                              1. Platykurtic and Leptokurtic Distributions
                                                1. Excess Kurtosis
                                              2. Percentiles and Quartiles
                                                1. Calculation Methods
                                                  1. Box Plots and Five-Number Summary
                                                    1. Outlier Detection Using IQR
                                                  2. Data Visualization Principles
                                                    1. Visual Perception and Cognition
                                                      1. Pre-attentive Processing
                                                        1. Gestalt Principles
                                                          1. Color Theory and Accessibility
                                                          2. Chart Selection Guidelines
                                                            1. Data Type Considerations
                                                              1. Audience and Purpose
                                                                1. Comparison Types
                                                                2. Design Best Practices
                                                                  1. Clarity and Simplicity
                                                                    1. Appropriate Use of Color
                                                                      1. Effective Labeling and Titles
                                                                        1. Avoiding Chart Junk
                                                                        2. Common Visualization Mistakes
                                                                          1. Misleading Scales and Axes
                                                                            1. Inappropriate Chart Types
                                                                              1. Overcomplication
                                                                            2. Visualization Techniques
                                                                              1. Categorical Data Visualization
                                                                                1. Bar Charts
                                                                                  1. Horizontal vs. Vertical
                                                                                    1. Grouped and Stacked Bars
                                                                                    2. Pie Charts and Donut Charts
                                                                                      1. When to Use and Avoid
                                                                                        1. Alternative Representations
                                                                                        2. Tree Maps
                                                                                          1. Hierarchical Data Display
                                                                                            1. Size and Color Encoding
                                                                                          2. Numerical Data Visualization
                                                                                            1. Histograms
                                                                                              1. Bin Selection
                                                                                                1. Distribution Shape Analysis
                                                                                                2. Box Plots
                                                                                                  1. Quartile Representation
                                                                                                    1. Outlier Identification
                                                                                                    2. Scatter Plots
                                                                                                      1. Correlation Visualization
                                                                                                        1. Bubble Charts for Three Variables
                                                                                                      2. Time Series Visualization
                                                                                                        1. Line Charts
                                                                                                          1. Single and Multiple Series
                                                                                                            1. Trend Identification
                                                                                                            2. Area Charts
                                                                                                              1. Stacked Area Charts
                                                                                                                1. Stream Graphs
                                                                                                              2. Multivariate Visualization
                                                                                                                1. Heat Maps
                                                                                                                  1. Correlation Matrices
                                                                                                                    1. Geographic Heat Maps
                                                                                                                    2. Parallel Coordinates
                                                                                                                      1. High-Dimensional Data
                                                                                                                        1. Pattern Recognition
                                                                                                                    3. Business Reporting and Dashboards
                                                                                                                      1. Key Performance Indicators
                                                                                                                        1. KPI Definition and Selection
                                                                                                                          1. Leading vs. Lagging Indicators
                                                                                                                            1. SMART Criteria for KPIs
                                                                                                                            2. Dashboard Design
                                                                                                                              1. Information Architecture
                                                                                                                                1. Visual Hierarchy
                                                                                                                                  1. Interactive Elements
                                                                                                                                    1. Mobile Responsiveness
                                                                                                                                    2. Automated Reporting
                                                                                                                                      1. Report Scheduling
                                                                                                                                        1. Distribution Methods
                                                                                                                                          1. Exception Reporting
                                                                                                                                          2. Performance Monitoring
                                                                                                                                            1. Real-Time Dashboards
                                                                                                                                              1. Alert Systems
                                                                                                                                                1. Trend Analysis

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                                                                                                                                            3. Data Management and Preparation

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                                                                                                                                            5. Diagnostic Analytics