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hw4.ass - Page 1 of 2 Stat209/Ed260 D Rogosa Assignment 4...

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Stat209/Ed260 D Rogosa 1/30/09 Assignment 4. Multilevel data, ecological fallacy ---------------------------------------------------------------------- NOTE: R multilevel (random effects) modelling (lme) exercises in Lab 2 ---------------------------------------------------------------------- Problem 1. Ecological fallacy: Is Radon good for you? Consider the artificial data example described in Ex 3 p.750 Greenland and Robbins American Journal of Epidemiology Vol. 139, No. 8: 747-760 Ecologic Studies ± Biases, Misconceptions, and Counterexamples (article linked on class page) intro their Example 3 Suppose that our study data are limited to regional values of mean radon, mean smoking (in packs per day), and lung-cancer rates among males aged 70-74 years, for 41 regions indexed by r = 0, . . . , 40. follow their example set up and create your own artificial data example and produce the regression function and plot in their figure 1 for the effect of radon levels on lung cancer rates from G&R you are demonstrating the ecological fallacy because "the regressions yield an inverse association of radon and lung cancer, despite the fact that radon is a positive risk factor in
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