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Table 5 Deviance information criteria for independent modeling and multivariate modeling (M-based BYM) of the Bayesian models

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

  Deviance information criteria
Modeling α(+βχ ι ) \( \alpha +{\mathbf{\mathcal{V}}}_i\left(+\beta {\chi}_{\iota}\right) \) \( \alpha +{\mathbf{\mathcal{U}}}_i\left(+\beta {\chi}_{\iota}\right) \) \( \alpha +{\mathbf{\mathcal{U}}}_i+{\mathbf{\mathcal{V}}}_i\left(+\beta {\chi}_{\iota}\right) \) M-based BYM
with fixed effects
M-based BYM
with random effects
Without covariate 8141.7 8006.8 7969.5 7961.4 6947.84 7131.05
With covariate 8051.9 7941.5 7895 7900   
  1. (+βχ ι ) in case of additional covariate - \( \mathbf{\mathcal{U}} \): Autocorrelation - \( \mathbf{\mathcal{V}} \): heterogeneity \( \mathbf{\mathcal{X}} \) Townsend index components