Table 5.
Estimates of logit models of child mortality in 1880 Newark, NJ
| Standard Multilevel | Pure Spatial | Hybrid CAR | Hybrid Spatial | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| β | SE | β | SE | β | SE | β | SE | |||||
| Individual | ||||||||||||
| Sex (ref = female) | 0.218 | 0.094 | * | 0.213 | 0.091 | * | 0.217 | 0.098 | * | 0.202 | 0.088 | * |
| Ethnicity (ref = Yankee) | ||||||||||||
| Irish | 0.371 | 0.120 | ** | 0.350 | 0.127 | ** | 0.372 | 0.125 | ** | 0.366 | 0.114 | *** |
| German | −0.442 | 0.144 | ** | −0.429 | 0.147 | ** | −0.432 | 0.151 | ** | −0.455 | 0.151 | ** |
| Household | ||||||||||||
| Head's age | −0.002 | 0.006 | −0.002 | 0.006 | −0.001 | 0.006 | −0.003 | 0.006 | ||||
| Head's socioeconomic index | −0.008 | 0.003 | ** | −0.008 | 0.003 | ** | −0.008 | 0.003 | ** | −0.008 | 0.003 | ** |
| Number of children | 0.011 | 0.028 | 0.009 | 0.029 | 0.007 | 0.029 | 0.013 | 0.029 | ||||
| Enumeration District | ||||||||||||
| Simpson's diversity index | 0.604 | 0.313 | * | 0.470 | 0.321 | 0.491 | 0.338 | 0.459 | 0.365 | |||
| Population density | 0.050 | 0.069 | 0.057 | 0.081 | 0.041 | 0.078 | 0.053 | 0.076 | ||||
| Median socioeconomic index | −0.001 | 0.007 | 0.002 | 0.008 | 0.000 | 0.007 | 0.000 | 0.007 | ||||
| Random Effects | ||||||||||||
| σs2 | — | — | 0.488 | 0.380 | 0.174 | 0.174 | 0.244 | 0.16 | ||||
| σu2 | 0.288 | 0.08 | — | — | 0.052 | 0.046 | 0.19 | 0.11 | ||||
| Spatial Correlation | ||||||||||||
| φ | — | — | 3.754 | 3.019 | — | — | 4.711 | 2.752 | ||||
| 3/φ | — | — | 0.799 | — | 0.637 | |||||||
| Constant | −2.857 | 0.349 | *** | −2.826 | 0.364 | −2.355 | 1.012 | −2.704 | 0.479 | *** | ||
| DIC | 3455 | 3429 | 3435 | 3426 | ||||||||
Notes: (1) Each model is fitted by running 3 MCMC chains, each of which runs 80,000 iterations with the first half discarded as the burn-in; the posterior distributions are summarized from the 1,000 iterations after thinning.
(2) β and SE are the means and standard deviations of the posterior distributions.
(3) *p<.05; **p<.01; ***p<.001.