Modeling Relative Air Humidity with Simplex Regression
Introduction | The simplex distribution | The simplex regression model | Advantages over beta regression | This vignette | The Data | Data preparation | Descriptive summary | Model Formula | Parametric Mean Link Functions | Fitting and model selection | Penalized Scout Score and information criteria | Fixed Mean Link Functions | Fitting | Comparing all candidates | Model Summary | Standard Information Criteria | Extracting Model Components | Coefficients and covariance matrix | Log-likelihood | Hypothesis Tests | Likelihood ratio test for nested models | Score test for $H_0!: \lambda = 1$ | RESET test for functional form | Fitted Values, Residuals, and Predictive Performance | Fitted values and residuals | Predictive performance: PRESS and $P^2$ | Prediction and Simulation | Prediction | Simulation | Influence Measures | Hat values and Cook's distance | Generalized leverage | Diagnostic Plots | Residual and fit plots | Local influence | Half-normal plot with simulated envelope | Fitted vs. Observed: Time Series | Summary | References | Session Info