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\[ \begin{aligned} \operatorname{outcome}_{i} &\sim N \left(\alpha_{j[i],k[i]} + \beta_{1}(\operatorname{gr4}) + \beta_{2}(\operatorname{pandemic}) + \beta_{3}(\operatorname{pandemic X gr4}), \sigma^2 \right) \\ \alpha_{j} &\sim N \left(\gamma_{0}^{\alpha} + \gamma_{1-10}^{\alpha}(\operatorname{covariates}), \sigma^2_{\alpha_{j}} \right) \text{, for student j = 1,} \dots \text{,J} \\ \alpha_{k} &\sim N \left(\mu_{\alpha_{k}}, \sigma^2_{\alpha_{k}} \right) \text{, for teacher k = 1,} \dots \text{,K} \end{aligned} \]