Social Statistics

  1. Descriptive Statistics: Univariate Analysis
    1. Frequency Distributions
      1. Constructing Frequency Tables
        1. Frequencies and Counts
          1. Proportions and Percentages
            1. Cumulative Frequencies
              1. Cumulative Percentages
                1. Grouped Frequency Distributions
                  1. Class Intervals and Boundaries
                  2. Data Visualization
                    1. Principles of Effective Data Visualization
                      1. Charts for Categorical Data
                        1. Bar Charts
                          1. Pie Charts
                            1. Dot Plots
                            2. Charts for Quantitative Data
                              1. Histograms
                                1. Frequency Polygons
                                  1. Stem-and-Leaf Plots
                                    1. Box Plots
                                      1. Violin Plots
                                      2. Choosing Appropriate Visualizations
                                        1. Common Visualization Mistakes
                                        2. Measures of Central Tendency
                                          1. Mode
                                            1. Definition and Calculation
                                              1. Unimodal vs. Multimodal Distributions
                                                1. Applications and Limitations
                                                2. Median
                                                  1. Definition and Calculation
                                                    1. Quartiles and Percentiles
                                                      1. Applications and Advantages
                                                      2. Mean
                                                        1. Arithmetic Mean
                                                          1. Weighted Mean
                                                            1. Properties of the Mean
                                                            2. Choosing the Appropriate Measure
                                                              1. Effects of Outliers on Central Tendency
                                                                1. Relationship Between Mean, Median, and Mode
                                                                2. Measures of Variability
                                                                  1. Range
                                                                    1. Definition and Calculation
                                                                      1. Limitations of Range
                                                                      2. Interquartile Range
                                                                        1. Definition and Calculation
                                                                          1. Advantages over Range
                                                                          2. Variance
                                                                            1. Population Variance
                                                                              1. Sample Variance
                                                                                1. Computational Formulas
                                                                                2. Standard Deviation
                                                                                  1. Population Standard Deviation
                                                                                    1. Sample Standard Deviation
                                                                                      1. Interpretation and Applications
                                                                                      2. Coefficient of Variation
                                                                                        1. Definition and Uses
                                                                                          1. Comparing Variability Across Different Units
                                                                                        2. Describing Distribution Shape
                                                                                          1. Symmetry and Skewness
                                                                                            1. Positive Skew
                                                                                              1. Negative Skew
                                                                                                1. Measuring Skewness
                                                                                                2. Kurtosis
                                                                                                  1. Leptokurtic Distributions
                                                                                                    1. Platykurtic Distributions
                                                                                                      1. Mesokurtic Distributions
                                                                                                        1. Measuring Kurtosis
                                                                                                        2. Normal Distribution Characteristics