Statistics with R

  1. Probability Theory
    1. Fundamental Concepts
      1. Random Experiments
        1. Sample Spaces
          1. Events
            1. Probability Definitions
              1. Classical Probability
                1. Relative Frequency
                  1. Subjective Probability
                2. Probability Rules
                  1. Addition Rule
                    1. Multiplication Rule
                      1. Complement Rule
                        1. Conditional Probability
                          1. Independence
                            1. Mutually Exclusive Events
                            2. Bayes' Theorem
                              1. Theorem Statement
                                1. Prior and Posterior Probabilities
                                2. Counting Principles
                                  1. Permutations
                                    1. Combinations
                                      1. Factorial Notation
                                      2. Random Variables
                                        1. Definition and Types
                                          1. Discrete Random Variables
                                            1. Continuous Random Variables
                                              1. Probability Functions
                                                1. Probability Mass Functions
                                                  1. Probability Density Functions
                                                    1. Cumulative Distribution Functions
                                                  2. Expected Value and Variance
                                                    1. Expected Value
                                                      1. Variance and Standard Deviation
                                                        1. Properties of Expected Value
                                                          1. Properties of Variance

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                                                        10. Advanced Data Visualization with ggplot2

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                                                        12. Probability Distributions