Environmental Statistics

  1. Foundational Statistical Concepts
    1. Review of Descriptive Statistics
      1. Measures of Central Tendency
        1. Mean
          1. Median
            1. Mode
            2. Measures of Dispersion
              1. Range
                1. Variance
                  1. Standard Deviation
                    1. Interquartile Range
                    2. Data Visualization
                      1. Histograms
                        1. Box Plots
                          1. Stem-and-Leaf Plots
                            1. Dot Plots
                          2. Probability Theory
                            1. Basic Probability Rules
                              1. Addition Rule
                                1. Multiplication Rule
                                  1. Conditional Probability
                                    1. Independence
                                    2. Common Probability Distributions
                                      1. Normal Distribution
                                        1. Applications in Environmental Data
                                        2. Lognormal Distribution
                                          1. Environmental Relevance
                                          2. Poisson Distribution
                                            1. Modeling Rare Events
                                              1. Environmental Applications
                                              2. Binomial Distribution
                                                1. Binary Outcomes
                                                  1. Environmental Applications
                                              3. Principles of Statistical Inference
                                                1. Point Estimation
                                                  1. Properties of Estimators
                                                    1. Unbiasedness
                                                      1. Consistency
                                                        1. Efficiency
                                                        2. Methods of Estimation
                                                          1. Method of Moments
                                                            1. Maximum Likelihood Estimation
                                                          2. Confidence Intervals
                                                            1. Interpretation
                                                              1. Calculation Methods
                                                              2. Hypothesis Testing
                                                                1. Null and Alternative Hypotheses
                                                                  1. Test Statistics
                                                                    1. Type I and Type II Errors
                                                                      1. p-values
                                                                        1. Power of a Test

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                                                                    1. Introduction to Environmental Statistics

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                                                                    3. Environmental Data Collection and Study Design