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Table 1 Specification and parameterization of models for the spatio-temporal distribution of mortality from all causes in small-areas of Andalusia (Southern Spain)

From: Spatio-temporal trends of mortality in small areas of Southern Spain

 

Specific mortalily rate

Specific mortality rate ratio

Distribution

O imt ~ Poisson(μ imt )

O imt ~ Poisson(μ imt )

Mean

μ imt = p imt r imt

μ imt = (p imt R it )RR imt

Model

Constant terms

β 0i ~ flat, β 1i ~ N(0, 0.00001), β 2i ~ N(0, 0.00001)

Temporal random structure

  

   Structured effect

   Hyperparameter

Spatial random structure

  

   Structured effect

   Non-structured effect

   Hyperparameters

  1. Notation
  2. O imt : deaths within age-gender subgroup i in municipality m at time t
  3. p imt : population within age-gender subgroup i in municipality m at time t
  4. r imt : specific mortality rate in municipality m at time t
  5. R it : specific mortality rate in Spain at time t
  6. : Median year
  7. RR imt : specific rate ratio of town m compared with Spain as a whole at time t
  8. ω mn , mn : adjacency matrix (ω mn = 1 if m and n are neighbour areas and ω mn = 0 otherwise)