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Table 2 DICs, log-likelihood, and posterior parameters in each mechanism model

From: Explaining age disparities in tuberculosis burden in Taiwan: a modelling study

ModelIndicatorsPosterior parameter distribution
DIClogLm0m1m2m3
γbbaseσ(C)σ(E)binibendt0w(A)w(E)ε
m09090− 4546 (− 4552,-4541)1.78 (1.33, 2.41)7.70 (6.09, 9.86)--------
Single-mechanism model
m13288− 1643 (− 1651, − 1638)1.33 (1.32, 1.39)5.35 (5.25, 5.55)0.100 (0.100, 0.100)9.99 (9.93, 10.0)------
m23099− 3048 (− 3055, − 3043)2.96 (2.81, 3.03)---9.90 (9.47, 10.0)2.02e-3 (4.05e-4, 8.67e-3)1957.0 (1957.0, 1957.1)---
m32455− 1228 (− 1235, − 1223)7.24 (5.87, 7.65)15.2 (12.4, 16.4)-----3.54 (3.46, 3.59)5.00 (4.98, 5.00)1.01e-2 (1.00e-2, 1.03e-2)
Two-mechanism model
m12− 1159437 (432, 440)1.98 (1.37, 2.54)-0.101 (0.100, 0.106)9.06 (8.25, 9.82)8.48 (6.29, 9.91)0.593 (0.203, 1.06)1986.0 (1977.3, 1989.9)---
m13− 242118 (113, 122)3.23 (1.36, 7.50)10.9 (5.50, 23.7)0.104 (0.100, 0.119)1.02 (1.00, 1.09)---1.57 (1.46, 1.80)4.80 (4.23, 4.99)0.165 (0.127, 0.201)
m231012− 504 (− 512, − 498)7.39 (6.45, 7.66)---28.2 (24.8, 30.0)4.64 (3.93, 5.23)1957.2 (1957.0, 1957.8)2.06 (1.98, 2.13)5.00 (4.99, 5.00)1.00e-2 (1.00e-2, 1.02e-2)
Three-mechanism model (‘full’ model)
m123− 5825462 (458, 464)5.94 (2.83, 7.58)-0.137 (0.103, 0.209)5.50 (3.79, 7.62)8.99 (4.34, 13.7)4.02 (1.84, 6.55)1999.9 (1998.3, 2001.5)1.76 (1.25, 2.70)1.49 (1.10, 2.10)0.217 (0.035, 0.455)
  1. The log-likelihood, and central estimates and 95% credible intervals (in brackets) of the key posterior parameters are presented for each mechanism model. For comparison across models, infection rates bbase, bini, and bend reported in this table have been standardised by scaling the age-specific ‘mixing’ matrix so that the mean of its elements equals to 1. Details of parameters and mechanism models are described in the ‘Method’ section and Table 1. Abbreviations: DIC - deviance information criterion; logL – log-likelihood