R Programming for Data Science

  1. Statistical Analysis in R
    1. Descriptive Statistics
      1. Central Tendency Measures
        1. Arithmetic Mean
          1. Median Calculation
            1. Mode Identification
              1. Geometric Mean
                1. Harmonic Mean
                2. Variability Measures
                  1. Variance Calculation
                    1. Standard Deviation
                      1. Range and Interquartile Range
                        1. Coefficient of Variation
                          1. Mean Absolute Deviation
                          2. Distribution Shape
                            1. Skewness Measures
                              1. Kurtosis Measures
                                1. Quantile Analysis
                                2. Summary Functions
                                  1. Five-number Summary
                                    1. Custom Summary Statistics
                                      1. Grouped Summaries
                                    2. Probability and Distributions
                                      1. Probability Distribution Concepts
                                        1. Discrete Distributions
                                          1. Binomial Distribution
                                            1. Poisson Distribution
                                              1. Geometric Distribution
                                                1. Hypergeometric Distribution
                                                2. Continuous Distributions
                                                  1. Normal Distribution
                                                    1. Student's t-Distribution
                                                      1. Chi-squared Distribution
                                                        1. F-Distribution
                                                          1. Uniform Distribution
                                                            1. Exponential Distribution
                                                            2. Distribution Functions
                                                              1. Density Functions
                                                                1. Cumulative Distribution Functions
                                                                  1. Quantile Functions
                                                                    1. Random Number Generation
                                                                    2. Random Sampling
                                                                      1. Simple Random Sampling
                                                                        1. Stratified Sampling
                                                                          1. Systematic Sampling
                                                                            1. Bootstrap Sampling
                                                                          2. Inferential Statistics
                                                                            1. Confidence Intervals
                                                                              1. Mean Confidence Intervals
                                                                                1. Proportion Confidence Intervals
                                                                                  1. Difference Confidence Intervals
                                                                                  2. Hypothesis Testing Framework
                                                                                    1. Null and Alternative Hypotheses
                                                                                      1. Type I and Type II Errors
                                                                                        1. P-values and Significance Levels
                                                                                          1. Power Analysis
                                                                                          2. One-Sample Tests
                                                                                            1. One-sample t-test
                                                                                              1. One-sample Proportion Test
                                                                                                1. Wilcoxon Signed-rank Test
                                                                                                2. Two-Sample Tests
                                                                                                  1. Independent t-test
                                                                                                    1. Paired t-test
                                                                                                      1. Two-sample Proportion Test
                                                                                                        1. Mann-Whitney U Test
                                                                                                        2. Analysis of Variance
                                                                                                          1. One-way ANOVA
                                                                                                            1. Two-way ANOVA
                                                                                                              1. ANOVA Assumptions
                                                                                                                1. Post-hoc Tests
                                                                                                                2. Categorical Data Analysis
                                                                                                                  1. Chi-squared Goodness of Fit
                                                                                                                    1. Chi-squared Test of Independence
                                                                                                                      1. Fisher's Exact Test
                                                                                                                    2. Correlation and Regression Analysis
                                                                                                                      1. Correlation Analysis
                                                                                                                        1. Pearson Correlation
                                                                                                                          1. Spearman Rank Correlation
                                                                                                                            1. Kendall's Tau
                                                                                                                              1. Partial Correlation
                                                                                                                              2. Simple Linear Regression
                                                                                                                                1. Model Fitting
                                                                                                                                  1. Parameter Interpretation
                                                                                                                                    1. Residual Analysis
                                                                                                                                      1. Prediction and Confidence Intervals
                                                                                                                                      2. Multiple Linear Regression
                                                                                                                                        1. Multiple Predictor Models
                                                                                                                                          1. Model Selection Techniques
                                                                                                                                            1. Multicollinearity Assessment
                                                                                                                                              1. Variable Transformation
                                                                                                                                              2. Regression Diagnostics
                                                                                                                                                1. Residual Plots
                                                                                                                                                  1. Influence Measures
                                                                                                                                                    1. Outlier Detection
                                                                                                                                                      1. Assumption Checking
                                                                                                                                                      2. Generalized Linear Models
                                                                                                                                                        1. Logistic Regression
                                                                                                                                                          1. Poisson Regression
                                                                                                                                                            1. Model Comparison
                                                                                                                                                          2. Introduction to Machine Learning
                                                                                                                                                            1. Machine Learning Concepts
                                                                                                                                                              1. Supervised vs Unsupervised Learning
                                                                                                                                                                1. Training and Testing Data
                                                                                                                                                                  1. Cross-validation
                                                                                                                                                                    1. Model Evaluation Metrics
                                                                                                                                                                    2. tidymodels Framework
                                                                                                                                                                      1. Workflow Concepts
                                                                                                                                                                        1. Data Splitting with rsample
                                                                                                                                                                          1. Feature Engineering with recipes
                                                                                                                                                                            1. Model Specification with parsnip
                                                                                                                                                                              1. Model Tuning with tune
                                                                                                                                                                              2. Classification Models
                                                                                                                                                                                1. Logistic Regression
                                                                                                                                                                                  1. Decision Trees
                                                                                                                                                                                    1. Random Forest
                                                                                                                                                                                      1. Support Vector Machines
                                                                                                                                                                                      2. Regression Models
                                                                                                                                                                                        1. Linear Regression
                                                                                                                                                                                          1. Ridge and Lasso Regression
                                                                                                                                                                                            1. Polynomial Regression
                                                                                                                                                                                            2. Clustering Methods
                                                                                                                                                                                              1. K-means Clustering
                                                                                                                                                                                                1. Hierarchical Clustering
                                                                                                                                                                                                  1. Model-based Clustering
                                                                                                                                                                                                  2. Model Evaluation
                                                                                                                                                                                                    1. Classification Metrics
                                                                                                                                                                                                      1. Regression Metrics
                                                                                                                                                                                                        1. Cross-validation Strategies
                                                                                                                                                                                                          1. Hyperparameter Tuning

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                                                                                                                                                                                                      8. Reproducible Research and Communication