The primary goal of Genmod is to estimate the unknown coefficients (β) in the systematic component. This is typically achieved using a method called Maximum Likelihood Estimation (MLE). The MLE process involves:
Random Component: This specifies the probability distribution of the response variable (Y). Common distributions include Normal, Binomial (for binary data), Poisson (for count data), and Gamma.
Link Function: This is a mathematical function that relates the mean of the response variable to the linear predictor. It ensures that the predicted values fall within the appropriate range for the chosen distribution. Common link functions include the Identity link (for normal data), the Logit link (for binary data), and the Log link (for count data). How Genmod Works: The Estimation Process
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