Marginal model
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Marginal model is a model used to provide regression estimates, especially in multilevel models or hierarchical linear models.
In a marginal model, we collapse over the latent/unobserved level 1 & 2 random residuals (R and U) and thus marginalize the joint distribution of the response variable () into an univariate distribution. In hierarchical linear modeling, we fit the marginal model to data.
For example, with the following hierarchical model,
The marginal model is,
