Prior distributions for multilevel variance parameters: consider the varying-intercept radon model with floor of measurement as an individual-level predictor and log uranium as a county-level predictor. Data are in the folder radon.
(a) Fit the model in Bugs using the different prior distributions for the group-level variance parameter discussed in Section 19.6. Compare the inferences for the group-level standard deviation and for a selection of the intercept parameters.
(b) Repeat (a) but just analyzing the subset of the data corresponding to the first eight counties.
(c) Repeat just using the data from the first three counties.
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