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. Author manuscript; available in PMC: 2023 Nov 27.
Published in final edited form as: Addiction. 2021 Feb 10;116(7):1908–1913. doi: 10.1111/add.15420

Table 2.

Risk ratios (RRs) [95% credible intervals], cannabis abuse and/or dependence hospitalizations, Bayesian spatial misalignment models (n = 6,832 ZIP codes)

Variable RR [95% credible interval]
Year 2014 1.003 [0.975, 1.031]
Year 2015 0.975 [0.945, 1.006]
Year 2016 0.963 [0.932, 0.996]b
Cannabis dispensaries, per mi2 1.021 [1.001, 1.041]b
Cannabis dispensaries, per mi2, spatial lag 0.946 [0.917, 0.976]b
Cannabis dispensaries, per mi2, temporal lag 1.006 [0.986, 1.026]
Manual labor, number of establishments per mi2 (x10) 1.001 [1.001, 1.001]b
Retail sales, number of establishments per mi2 (x10) 0.999 [0.998, 0.999]b
On-premise alcohol outlet density, per mi2 1.008 [1.006, 1.009]b
Off-premise alcohol outlet density, per mi2 0.989 [0.985, 0.994]b
Demographic and environmental covariates
Overall hospitalization rate, per 100 people 2.258 [2.121, 2.401]b
Age, %
 0–19 0.995 [0.989, 1.000]
 20–24 1.092 [1.067, 1.117]b
 25–44 0.985 [0.981, 0.988]b
 45–64 1.040 [1.034, 1.046]b
Race/ethnicity, %
 Asian 0.986 [0.985, 0.988]b
 Non-Hispanic Black 1.013 [1.011, 1.015]b
 Hispanic 0.993 [0.992, 0.995]b
Male, % 0.986 [0.981, 0.992]b
Population density, per mi2 a
 Quartile 2 1.065 [1.014, 1.118]b
 Quartile 3 1.176 [1.107, 1.249]b
 Quartile 4 1.149 [1.072, 1.232]b
Economic conditions
Below 150% of poverty level, % 1.019 [1.017, 1.020]b
Below 150% of poverty level, %, spatial lag 1.004 [1.001, 1.006]b
Median household income, per $10,000 0.918 [0.910, 0.927]b
Unemployment, % 0.988 [0.986, 0.990]b
Misalignment effects
ZIP code instability 1.001 [0.991, 1.011]
Random effects
Spatial random effects (s.d. CARc process) 0.441 [0.435, 0.447]
ZIP-code-level random effects (s.d.) 0.147 [0.122, 0.173]
Spatial to total random variability ratiod 0.900 [0.866, 0.928]
a

Population density was divided into equal quartiles as follows: 1 (referent; 41.52 < people / mi2), 2 (41.52–732.10), 3 (732.11–5053.76), and 4 (> 5053.76);

b

Indicates findings that are well-supported by the data as evidenced by credible intervals that exclude one for relative risks;

c

CAR = conditional autoregressive;

d

calculated as the variance ratio of spatial to spatial and non-spatial random effects.