Environmental Statistics

  1. Modeling Environmental Data
    1. Linear Regression Models
      1. Simple Linear Regression
        1. Model Specification
          1. Interpretation of Coefficients
            1. Assumptions
            2. Multiple Linear Regression
              1. Model Building
                1. Forward Selection
                  1. Backward Elimination
                    1. Stepwise Selection
                    2. Multicollinearity
                      1. Detection
                        1. Treatment
                      2. Model Assumptions and Diagnostics
                        1. Linearity
                          1. Homoscedasticity
                            1. Independence
                              1. Normality of Residuals
                                1. Residual Analysis
                                  1. Residual Plots
                                    1. Leverage and Influence
                                2. Generalized Linear Models
                                  1. The Exponential Family of Distributions
                                    1. Model Structure
                                    2. Logistic Regression for Binary Data
                                      1. Model Fitting
                                        1. Interpretation
                                          1. Odds Ratios
                                          2. Poisson Regression for Count Data
                                            1. Model Fitting
                                              1. Overdispersion
                                                1. Zero-inflated Models
                                              2. Handling Non-Standard Data Structures
                                                1. Analysis of Censored Data
                                                  1. Left-Censoring
                                                    1. Right-Censoring
                                                      1. Methods for Estimation
                                                        1. Maximum Likelihood Estimation
                                                          1. Kaplan-Meier Estimator
                                                        2. Mixed-Effects Models
                                                          1. Fixed Effects
                                                            1. Random Effects
                                                              1. Hierarchical Modeling
                                                                1. Applications in Environmental Studies

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                                                            4. Exploratory Data Analysis for Environmental Data

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                                                            6. Analysis of Temporally Correlated Data