Multilevel model: Difference between revisions

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*<math>X_{ij} </math> refers to the Level 1 predictor.
*<math>\alpha_{i} </math> refers to the intercept of the dependent variable for individual case i.
*<math> \beta_{1jij}</math> refers to the slope for individual case i for the relationship in group j (Level 2) between the Level 1 predictor and the dependent variable.
*<math> e_{ij}</math> refers to the random errors of prediction for the Level 1 equation (it is also sometimes referred to as <math>r_{ij}</math>).
<math>e_{ij} \sim \mathcal{N}(0,\sigma_3^2)