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. Author manuscript; available in PMC: 2015 Dec 11.
Published in final edited form as: Regul Toxicol Pharmacol. 2013 Feb 27;66(1):47–58. doi: 10.1016/j.yrtph.2013.02.003

Table 1.

Statistical model parameters for disposition of lung coal dust in US and UK miners.

Data description
Measurement Distribution Geometric mean Variance
Mlun Lognormal Mlun (prediction) Ve Mlun
Mhil Lognormal Mhil (prediction) Ve_Mhil

Subject level error distributions
Measurement Distribution Prior Posterior


Minimum Maximum Group Mean Variance R

Ve_Mlun Loguniform 0.01 3.3 US 0.473 0.00395 1.00
UK 0.835 0.00263 1.00
Ve_Mhil Loguniform 0.01 3.3 US 0.855 0.0315 1.01
UK 1.07 0.0210 1.00
Model parameters
Variable Distribution Mean Prior Posterior


Minimum Maximum Variance Group Mean Variance R
lnKTdivKI Truncated normal M_lnKTdivKI −10 10 V_lnKTdivKI US 0.806 0.00886 1.02
UK 1.02 0.00575 1.12
lnKI Truncated normal M_lnKI −10 10 V_lnKI US −1.39 0.755 1.14
UK −1.95 0.938 1.13
lnKLN Truncated normal M_lnKLN −10 10 V_lnKLN US −5.53 0.0186 1.06
UK −5.19 0.0200 1.12
Population level parameters
Variable Distribution Mean Prior Posterior


Minimum Maximum Variance Mean Variance R
M_lnKTdivKI Truncated normal 0 −10 10 4 0.922 0.116 1.00
M_lnKI Truncated normal 0 −10 10 4 −1.64 0.819 1.14
M_lnKLN Truncated normal 0 −10 10 4 −5.32 0.112 1.05
Variance shape Variance scale
V_lnKTdivKI Inverse gamma 2.25 0.3125 0.215 0.0363 1.00
V_lnKI Inverse gamma 2.25 0.3125 0.331 0.175 1.00
V_lnKLN Inverse gamma 2.25 0.3125 0.209 0.0361 1.02

Parameter units: KTdivKI was dimensionless, KI and KLN were expressed in units of per year.