Fake-data simulation: take an example of a multilevel model from an exercise in one of the previous chapters. Check the fitting using a fake-data simulation: (a) Specify the unmodeled parameters (that...

Fake-data simulation: take an example of a multilevel model from an exercise in one of the previous chapters. Check the fitting using a fake-data simulation:

(a) Specify the unmodeled parameters (that is, those with noninformative prior distributions in the Bugs model; see Figure 16.4 on page 366), then simulate the modeled parameters, then simulate a fake dataset.

(b) Fit the model to the fake data and check numerically that the inferences for the unmodeled parameters are consistent with their “true values” you chose in part (a). Check graphically that the inferences for the modeled parameters are consistent with their “true values” you simulated in part (a).