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. Author manuscript; available in PMC: 2019 Jun 1.
Published in final edited form as: Alcohol Clin Exp Res. 2018 May 20;42(6):1113–1121. doi: 10.1111/acer.13758

Table 2.

Relative risks associated with block group and city characteristics, among total injury crashes and crash types

Crash rates relative to
block-group population
HBD crash rates
relative to non-HBD
crashes
SVN crash rates relative
to non-SVN crashes
Variable Description Median (95% C.I.) Median (95% C.I.) Median (95% C.I.)
Alcohol outlet density (10s / sq. mile)
  In local block group 1.0273* (1.0199, 1.0348) 0.9929* (0.9866, 0.9993) 0.9627* (0.9507, 0.9748)
  Mean of adjacent block groups 1.0836* (1.0599, 1.1062) 0.9787* (0.9621, 0.9956) 0.9093* (0.8830, 0.9363)
  City-level average 1.2267* (1.147, 1.3153) 1.0097 (0.9110, 1.1196) 0.8955 (0.7975, 1.0062)
Proportion of outlets bars/pubs
  In local block group 1.0064 (0.9423, 1.0759) 1.0907 (0.9758, 1.2183) 0.9946 (0.8355, 1.1795)
  Mean of adjacent block groups 1.0175 (0.8731, 1.1856) 1.2346 (0.9878, 1.5419) 1.1444 (0.8244, 1.5937)
  City-level average 2.2569* (1.1872, 4.1247) 3.3733 (0.7363, 15.6442) 10.3222* (1.7038, 81.215)
Proportion of outlets restaurants
  In local block group 1.0290 (0.9921, 1.0670) 0.9408 (0.8833, 1.0004) 0.9593 (0.8715, 1.0566)
  Mean of adjacent block groups 1.0814 (0.9885, 1.1778) 0.8135* (0.7242, 0.9169) 0.8898 (0.7523, 1.0600)
  City-level average 0.9662 (0.7176, 1.2710) 0.8400 (0.4196, 1.5270) 0.8314 (0.4216, 1.8908)
Population density (1000s / sq. mile) 0.9155* (0.9099, 0.9211) 1.0015 (0.9974, 1.0056) 0.9797* (0.9724, 0.9872)
Adjacent population (1000s) 1.0084* (1.0039, 1.0123) 1.0045* (1.0014, 1.0076) 1.0031 (0.9981, 1.0081)
City population (1000s) 1.0003 (1.0000, 1.0007) 0.9998 (0.9991, 1.0004) 1.0000 (0.9993, 1.0006)
Real income ($10,000) 0.9494* (0.9279, 0.9680) 1.0029 (0.9881, 1.0176) 1.0193 (0.9961, 1.0432)
Adjacent real income ($10,000) 0.9588* (0.9357, 0.9863) 0.9910 (0.9709, 1.0125) 1.0607* (1.0286, 1.0966)
Average household size 0.8045* (0.7676, 0.8456) 1.1124* (1.0622, 1.1657) 1.1073* (1.0265, 1.1900)
% Poverty 1.0074* (1.0034, 1.0111) 0.9999 (0.9975, 1.0022) 1.0017 (0.9979, 1.0055)
% Unemployment 0.9951* (0.9934, 0.9967) 1.0019 (0.9996, 1.0041) 1.0019 (0.9983, 1.0053)
Proportion age 20–24 0.9105 (0.6021, 1.3485) 0.6717 (0.2714, 1.6599) 2.1529 (0.6618, 7.2812)
Proportion age 20–24 in Adjacent BG 4.0755* (2.0036, 8.1149) 1.2991 (0.3471, 4.8115) 0.3835 (0.0545, 2.5284)
Proportion age 25–44 0.5779* (0.4174, 0.7652) 0.9290 (0.4878, 1.7034) 1.7565 (0.7803, 3.6455)
Proportion age 45–64 0.6598 (0.4218, 1.0058) 1.3409 (0.6475, 2.6698) 4.591* (1.9753, 10.8623)
Proportion age 65+ 0.3754* (0.2516, 0.5614) 0.9054 (0.5518, 1.4342) 0.7879 (0.4083, 1.4989)
Proportion white 0.7996 (0.5739, 1.0906) 1.4659* (1.1166, 1.9621) 1.6271* (1.0859, 2.3533)
Proportion white in Adjacent BG 0.4249* (0.3187, 0.6162) 1.2758 (0.9109, 1.8070) 1.0851 (0.7311, 1.6659)
Proportion Black 0.2973* (0.1691, 0.4866) 0.9826 (0.6571, 1.4508) 1.2315 (0.6943, 2.1978)
Proportion Hispanic 2.0285* (1.6333, 2.5356) 0.8719 (0.7106, 1.0756) 0.8118 (0.5958, 1.1087)
Proportion male 0.6645 (0.4111, 1.1668) 1.9314* (1.1264, 3.3824) 1.9477 (0.9003, 4.5481)
Presence of any class 1–2 highway 2.2733* (2.1090, 2.4899) 0.9686 (0.9295, 1.0099) 1.2127* (1.1349, 1.2958)
Intercept 5.9085* (4.128, 9.1185) 0.3162* (0.1733, 0.6827) 0.1170* (0.0442, 0.2583)
Time trend (1–8) 0.9543* (0.9497, 0.9593) 1.0336* (1.0253, 1.0419) 1.0547* (1.0424, 1.0667)
SD (city-level random effect) 0.0230 (0.0230, 0.3004) 0.2278 (0.2004, 0.2621) 0.2136 (0.1743, 0.2563)
SD (CAR spatial random effect) 0.5749 (0.5749, 0.7037) 0.3350 (0.3016, 0.3681) 0.3381 (0.2718, 0.3984)
SD (non-spatial random effect) 0.9481 (0.9481, 1.0137) 0.1740 (0.1045, 0.2209) 0.5196 (0.4755, 0.5623)
Spatial proportion block grp. variance 0.2478 (0.2478, 0.3496) 0.7876 (0.6588, 0.9241) 0.2975 (0.1957, 0.4033)
Proportion variance due to city effects 0.0004 (0.0004, 0.0618) 0.2672 (0.2172, 0.3285) 0.1060 (0.0726, 0.1471)
CAR spatial autocorrelation (Moran’s I) 0.6557 (p < 0.00001) 0.6730 (p < 0.00001) 0.6890 (p < 0.00001)

Notes: Posterior results are from Bayesian space-time Poisson analyses of 3870 Census block groups within 50 mid-sized California cities over the years 2001–2008 (total n = 30,960). Each Poisson model included an exposure variable with coefficient restricted to one, calculated on the assumption that outcome counts study-wide are distributed in exact proportion to population (total crash model) or to non-alcohol crashes (HBD and SVN crash models). Raw Poisson coefficients and credible intervals have been exponentiated and are thus interpretable as relative rates.