Multilevel model: Difference between revisions

Revision as of 14:32, 10 October 2022

Revision as of 14:38, 10 October 2022

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<math>\alpha_{ij} = \gamma + u_{ij}</math>

<math>\beta_{ij} = \delta + W_{ij} \tau_{ij} +v_{ij} </math>

*<math>\gamma</math> refers to the overall intercept. This is the grand mean of the scores on the dependent variable across all the groups when all the predictors are equal to 0.

*<math>W_{ij}</math> refers to the Level 2 predictor.

*<math>\tau_{ij}</math> refers to the overall regression coefficient, or the slope, between the dependent variable and the Level 2 predictor.

*<math>u_{0j}</math> refers to the random error component for the deviation of the intercept of a group from the overall intercept.

*<math>\delta</math> refers to the overall regression coefficient, or the slope, between the dependent variable and the Level 1 predictor.

*<math>v_{ij}</math> refers to the error component for the slope (meaning the deviation of the group slopes from the overall slope).<ref name="Fidell" />

==Types of models==