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Table 4 Comparison of model goodness of fit using nonspatial Poisson regression and spatial Poisson models with conditional autoregressive (CAR), and spatial point referenced (SPR), autocorrelation structures

From: The spatial distribution of esophageal and gastric cancer in Caspian region of Iran: An ecological analysis of diet and socio-economic influences

  Model   -2Log-Likelihood AIC BIC
Esophageal cancer Poisson regression with uncorrelated random effect Female 511.3 517.2 521.8
   Male 498.2 501.3 510.9
   Both sexes 453.2 455.5 458.4
  Spatial Poisson regression with Gaussian SPR correlation function Female 481.3 485.2 491.6
   Male 453.7 455.0 460.3
   Both sexes 446.5 448.5 451.5
  Spatial Poisson regression with CAR correlation function Female 470.9 476.9 485.9
   Male 411.5 417.5 426.5
   Both sexes 332.0 338.0 347.0
Gastric cancer Poisson regression with uncorrelated random effect Female 560.5 566.5 575.5
   Male 485.2 488.0 491.2
   Both sexes 463.4 468.3 471.8
  Spatial Poisson regression with Gaussian SPR correlation function Female 483.2 488.0 491.1
   Male 469.1 471.0 580.5
   Both sexes 447.8 453.8 462.8
  Spatial Poisson regression with CAR correlation function Female 511.3 519.6 523.4
   Male 467.0 473.0 482.1
   Both sexes 384.0 386.0 389.0