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Table 2 Deviance information criteria and empirical variances of the Bayesian models (with their 95 % credible intervals, CI)

From: Impact of socioeconomic inequalities on geographic disparities in cancer incidence: comparison of methods for spatial disease mapping

 

Deviance information criteria

Empirical variances (95 % CI)

Cancer

α(+βχι)

α + Vi(+βχι)

α + Ui(+βχι)

α + Ui + Vi(+βχι)

s 2u

s 2v

Without covariate

 Lung

2172.8

2071.2

2082.8

2068.3

0.031 (0.004; 0.498)

0.057 (0.031; 0.085)

 Prostate

2765.3

2631.4

2585.4

2589.2

0.008 (0.003; 0.019)

0.617 (0.310; 0.998)

 Colon-rectum

1929.0

1931.0

1930.3

1932.5

0.0091 (0.002; 0.022)

0.0354 (0.007; 0.180)

 Bladder

1374.6

1373.2

1371.0

1371.4

0.018 (0.005; 0.052)

0.241 (0.025; 1.015)

With covariate

 Lung

2016.5

2007.2

2009.9

2007.9

0.066 (0.013; 0.374)

0.011 (0.002; 0.030)

 Prostate

2736.4

2630.2

2585.7

2588.5

0.007 (0.017; 0.002)

0.577 (0.261; 0.981)

 Colon-rectum

1930.7

1933.1

1932.0

1933.3

0.007 (0.002; 0.024)

0.006 (0.002; 0.143)

 Bladder

1368.3

1371.0

1367.4

1370.3

0.017 (0.0035; 0.056)

0.195 (0.030; 2.529)

  1. (+βχ ι ) in case of additional covariate - \( \mathbf{\mathcal{U}} \): Autocorrelation - \( \mathbf{\mathcal{V}} \): heterogeneity - s 2 u : Autocorrelation empirical variance - s 2 v : Heterogeneity empirical variance – \( \mathbf{\mathcal{X}} \) Townsend index components