Table 2.

HLM 3-Level equations modeling diurnal cortisol.

$$\begin{array}{l}\text{Level}1:\mathit{Cortisoltij}={\pi }_{0ij}+{\pi }_{1ij}(\mathit{CAR})+{\pi }_{2ij}(\mathit{Time}\mathit{Since}\mathit{Waking})+{\epsilon }_{\mathit{tij}}\\ \text{Level}2:{\pi }_{0ij}={\gamma }_{00j}+{\zeta }_{0ij}\\ {\pi }_{1ij}={\gamma }_{10j}+{\zeta }_{1ij}\\ {\pi }_{2ij}={\gamma }_{20j}+{\zeta }_{2ij}\\ \text{Level}3:{\gamma }_{00j}={\beta }_{000}+{\beta }_{001}(\mathit{Aggregate}\mathit{Sleep}\mathit{parameter})+r_{00j}\\ {\gamma }_{10j}={\beta }_{100}+{\beta }_{101}(\mathit{Aggregate}\mathit{Sleep}\mathit{parameter})+r_{10j}\\ {\gamma }_{20j}={\beta }_{200}+{\beta }_{201}(\mathit{Aggregate}\mathit{Sleep}\mathit{parameter})+r_{20j}\end{array}$$ Equation 1

$$\begin{array}{l}\text{Level}2:{\pi }_{0ij}={\gamma }_{00j}+{\gamma }_{01j}(\mathit{Sleep}\mathit{Parameter}\mathit{before}\mathit{Cort})+{\gamma }_{02j}(\mathit{Sleep}\mathit{Parameter}\mathit{after}\mathit{Cort})+{\zeta }_{0i}\\ {\pi }_{1ij}={\gamma }_{10j}+{\gamma }_{11j}(\mathit{Sleep}\mathit{Parameter}\mathit{before}\mathit{Cort})+{\gamma }_{12j}(\mathit{Sleep}\mathit{Parameter}\mathit{after}\mathit{Cort})+{\zeta }_{1ij}\\ {\pi }_{2ij}={\gamma }_{20j}+{\gamma }_{21j}(\mathit{Sleep}\mathit{Parameter}\mathit{before}\mathit{Cort})+{\gamma }_{22j}(\mathit{Sleep}\mathit{Parameter}\mathit{after}\mathit{Cort})+{\zeta }_{2ij}\end{array}$$ Equation 2