Table 3. Age-varying incubation period distribution models fitted to experimental data on all host-age groups, Gamma, Erlang, and Exponential (k = 1): shape parameter k, parameters a, b, c in the rate parameter function of host age λ(t) given by (1b), and Deviance information criterion (DIC).
Gamma | Erlang | Exponential | |||||||||
DIC | 5075 | 5071 | 6075 | ||||||||
k | a | b | c | k | a | b | c | a | b | c | |
Mean | 19.52 | 0.449 | 0.00403 | 0.0381 | 0.450 | 0.00403 | 0.0381 | 0.025 | 0.00424 | 0.0020 | |
Mode | 19.00 | 0.450 | 0.00405 | 0.0370 | 19 | 0.450 | 0.00405 | 0.0370 | 0.025 | 0.00425 | 0.0020 |
SD | 1.26 | 0.034 | 0.00013 | 0.0025 | 1 | 0.035 | 0.00013 | 0.0026 | 0.005 | 0.00058 | 0.0002 |
q-2.5% | 17.18 | 0.380 | 0.00379 | 0.0334 | 18 | 0.387 | 0.00378 | 0.0338 | 0.017 | 0.00317 | 0.0016 |
q-25% | 18.63 | 0.427 | 0.00394 | 0.0362 | 19 | 0.426 | 0.00394 | 0.0364 | 0.021 | 0.00386 | 0.0019 |
Median | 19.5 | 0.448 | 0.00402 | 0.0380 | 20 | 0.448 | 0.00403 | 0.0379 | 0.024 | 0.00419 | 0.0020 |
q-75% | 20.38 | 0.471 | 0.00412 | 0.0397 | 20 | 0.473 | 0.00411 | 0.0396 | 0.027 | 0.00462 | 0.0021 |
q-97.5% | 21.99 | 0.520 | 0.00427 | 0.0432 | 22 | 0.528 | 0.00427 | 0.0439 | 0.037 | 0.00553 | 0.0024 |
Confidence range (*) | 4.81 | 0.140 | 0.00048 | 0.0098 | 4 | 0.141 | 0.00049 | 0.0101 | 0.020 | 0.00236 | 0.0008 |
(*) Confidence range = q-97.5 - q-2.5%.