From: Performance of statistical models to predict mental health and substance abuse cost
Model Name | Dependent Variable | Model Specification | |||
---|---|---|---|---|---|
Family | Link | v(μ) | Equation | ||
Normal with identity link (OLS) | cost | Normal | Identity | 1 | E(Y) = xβ |
Log Normal* | ln(cost) | Normal | Identity | 1 | E{ln(Y)} = xβ |
Sqrt Normal* | $\sqrt{cost}$ | Normal | Identity | 1 | E{$\sqrt{Y}$} = xβ |
Gamma with log link | cost | Gamma | Log | μ ^{2} | ln{E(Y)} = xβ |
Gamma with square-root link | cost | Gamma | Square Root | μ ^{2} | $\sqrt{E(Y)}$ = xβ |