Chapter 1Introduction

1.1 What is a Mixed Model?

Imagine you are lab scientist studying the effect of two chemicals, A and B, on cell viability. You prepare nine plates of media with healthy cells growing on each, and then apply A and B to randomly assigned halves of each plate. After a suitable incubation period, you collect treated cells from the halves of each plate and perform an assay on each sample to compute a measurement Y of interest. Four of the samples are accidentally contaminated during processing and produce no assay results. Your data table in JMP looks like Figure 1.1.

How should you analyze these data? A primary goal is to estimate the causal effect of Chemical on Y, while taking appropriate account of the experiment design based ...

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