Interstudy Variability ISV

Controlling for ISV depends on how the analyst believes ISV affects the parameter of interest. In general, ISV can affect the model parameters in three different ways. Begin by assuming that there are S number of studies being pooled and that the model parameter for the ith subject (0 ) be written as 

In Case 1, ISV does not add any variability into the model parameter, but does add a shift in location to the population mean. Then the model parameter can be written as 

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