Chapter 5Regression, Random Coefficients, and Multilevel Models

This chapter introduces the first models with more complex covariance structures. That is, the various error terms are not necessarily independent from one another but have some covariance between them. A consequence of this complexity is that these models can only be fit using the Mixed Model personality in JMP Pro. However, we will hope to show that a “complex” model need not be difficult or confusing.

5.1 Motivating Examples

Stability Trial — Drug developers perform a stability trial to determine optimal shelf life of a pharmaceutical. The batches used to measure the strength over time are randomly selected from possible batches created.

Student Achievement — Eighth grade students ...

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