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. Author manuscript; available in PMC: 2023 May 1.
Published in final edited form as: Ethn Health. 2020 Sep 2;27(4):749–769. doi: 10.1080/13557858.2020.1814999

Table 2.

Multi-Level Logistic Regression Models of Mental Health Care Reporting Coefficients of County-Level Supply Variables and their interactions with Race/Ethnicity

Model 1 Model 2 Model 3 Model 4
Past 12-month Any Formal Mental Health Treatment

Null Model between variance 0.28

County with Community Mental Health Center −0.65 * −0.27 −0.92 ** −0.29
interaction with Latino Ethnicity 1.10 0.42 1.23 0.36
interaction with Asian Race 1.85 1.06 2.00 0.88
interaction with Black Race 3.05 * 2.48 3.25 * 2.08
Between county Variance 0.31 0.89 0.22 0.26
p-value of F-test (White=Latino=Asian=Black) 0.0718 0.5038 0.0436 0.6152

Density of Specialty Mental Health Provider Per 10k −0.01 −0.02 + −0.02 + −0.02
interaction with Latino Ethnicity 0.01 0.00 0.01 −0.01
interaction with Asian Race 0.03 0.01 0.02 −0.01
interaction with Black Race 0.06 * 0.06 0.07 * 0.05
Between county Variance 0.34 0.95 0.26 0.25
p-value of F-test (White=Latino=Asian=Black) 0.1310 0.4342 0.1158 0.4950

HMO Penetration % −1.29 −2.49 * −1.85 * −3.27 *
interaction with Latino Ethnicity 0.89 0.36 0.69 −0.48
interaction with Asian Race 8.73 5.23 8.67 5.89
interaction with Black Race 7.64 ** 8.49 * 7.76 ** 7.42 +
Between county Variance 0.28 0.77 0.19 0.07
p-value of F-test (White=Latino=Asian=Black) 0.0739 0.2327 0.0672 0.2859

Density of Specialty MH Providers Less than 35 Per 10k −1.75 −1.50 −1.96 −1.21
interaction with Latino Ethnicity 2.18 1.19 2.36 1.09
interaction with Asian Race 2.54 1.82 2.70 1.57
interaction with Black Race 2.86 2.52 3.10 2.26
Between county Variance 0.36 0.94 0.29 0.27
p-value of F-test (White=Latino=Asian=Black) 0.6640 0.9015 0.6114 0.9065

Density of Hospitals with Community and/or Teen Outreach Services Per 10k −0.64 −1.31 * −0.58 −0.22
interaction with Latino Ethnicity 0.03 1.95 0.86 3.43
interaction with Asian Race −26.72 −21.17 −27.74 −23.12
interaction with Black Race 3.84 4.74 3.94 3.32
Between county Variance 0.34 0.86 0.28 0.25
p-value of F-test (White=Latino=Asian=Black) 0.5085 0.5829 0.4799 0.6981

Density of Hospitals with Child Wellness Program Per 10k −1.70 *** −0.38 −1.73 *** 0.89
interaction with Latino Ethnicity −5.94 −9.19 −6.21 −10.45
interaction with Asian Race −12.06 −4.64 −11.42 −7.08
interaction with Black Race 5.52 + 5.20 5.22 3.95
Between county Variance 0.21 0.87 0.16 0.28
p-value of F-test (White=Latino=Asian=Black) 0.3671 0.6670 0.4078 0.7348

Density of Hospitals with Alc/Drug Abuse Inpatient Care Per 10k −7.02 * −9.14 + −7.52 * −5.88
interaction with Latino Ethnicity 10.46 * 13.48 * 11.22 * 12.39 *
interaction with Asian Race 30.18 36.76 31.72 32.88
interaction with Black Race 22.67 23.07 24.39 20.00
Between county Variance 0.36 0.92 0.27 0.26
p-value of F-test (White=Latino=Asian=Black) 0.0957 0.1491 0.0678 0.1645

Density of Hospitals with Alc/Drug Abuse Outpatient Care Per 10k −3.00 ** −2.54 −3.46 ** −0.84
interaction with Latino Ethnicity 7.04 * 8.27 * 7.98 ** 8.23 +
interaction with Asian Race 1.17 6.84 2.78 7.35
interaction with Black Race 11.06 9.60 11.79 5.67
Between county Variance 0.32 0.91 0.22 0.28
p-value of F-test (White=Latino=Asian=Black) 0.0704 0.1771 0.0334 0.2151

Density of Hospitals with Emergency Department Per 10k −1.75 *** −2.49 *** −1.77 *** −1.84 *
interaction with Latino Ethnicity 0.63 3.84 0.68 4.57
interaction with Asian Race −33.04 −18.28 −33.26 −18.46
interaction with Black Race 0.89 2.45 0.90 2.07
Between county Variance 0.06 0.07 0.08 0.07
p-value of F-test (White=Latino=Asian=Black) 0.9310 0.5618 0.9290 0.6082

Density of Hospitals with Ling/Translation Services Per 10k −2.16 *** −1.21 −2.15 *** 0.40
interaction with Latino Ethnicity 4.05 5.72 4.51 5.62
interaction with Asian Race −6.29 5.15 −6.48 3.60
interaction with Black Race 10.08 6.07 10.06 1.04
Between county Variance 0.16 0.81 0.11 0.29
p-value of F-test (White=Latino=Asian=Black) 0.3344 0.5011 0.2917 0.5634
+

p<0.1

*

p<.05

**

p<.01

***

p<.001

Model 1 includes size of the county, and race/ethnicity and county-level supply variable main effects

Model 2 includes covariates from Model 1 plus individual-level covariates

Model 3 includes covariates from Model 1 plus county-level covariates

Model 4 includes covariates from Model 1 plus county- and individual-level covariates.

Race/ethnicity indicator variables, individual-level covariates and county-level covariates are centered around their sample mean.