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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.