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Table 1 Markov chain Monte Carlo results for Bayesian hierarchical modelling of stroke mortality vs. income, air pollution, and greenness*

From: Linking stroke mortality with air pollution, income, and greenness in northwest Florida: an ecological geographical study

Fixed Effects Posterior Mean Posterior Median Standard Deviation MC Error 95% Credible Set
β 0 1.829 1.832 0.083 0.004 (1.661, 1.986)
β 1 -0.193 -0.193 0.047 0.003 (-0.286, -0.097)
β 2 0.089 0.089 0.028 0.001 (0.034, 0.144)
β 3 0.937 0.932 0.276 0.010 (0.419, 1.495)
β 4 0.974 0.980 0.290 0.012 (0.413, 1.522)
β 5 -0.161 -0.161 0.067 0.002 (-0.289,-0.031)
  1. * Posterior means, medians, and 95% credible sets are based on 5,000 postconvergence iterations (from 5,001 to 10,000). Fixed effects are: β0 - intercept, β1 - income effect, β2 - traffic air pollution effect, β3 - effect of EPA and Florida DEP monitored point source air emission, β4 - effect of non-monitored point source air pollution, and β5 - greenness.