Appendix Table 4.

Service Utilization by Intervention Assignment Among Mutually Exclusive Client Subgroups Below the Federal Poverty Line (Model 2) with P Values and the P Values Adjusted for False Discovery Rates

	Involved in the Justice System (n = 158)						Homeless, Not Involved in the Justice System (n = 298)						Other Poor (n = 294)
	RS	CEP	CEP vs. RS, Test (95% CI)	P	P_FDR	ES	RS	CEP	CEP vs. RS, Test (95% CI)	P	P_FDR	ES	RS	CEP	CEP vs. RS, Test (95% CI)	P	P_FDR	ES
Nights spent in a behavioral health hospital (%)			OR						OR						OR
6-Month follow-up	13.5 (4.2)	7.5 (4.4)	0.5 (0.1–2.3)	.356	.811	0.20	11.6 (4.1)	6.3 (2.8)	0.5 (0.1–2.1)	.324	.541	0.19	6.8 (2.7)	4.9 (2.0)	0.7 (0.2–2.2)	.532	.759	0.08
12-Month follow-up	4.0 (2.2)	4.4 (2.2)	1.1 (0.3–4.3)	.883	.961	0.02	8.0 (2.0)	5.1 (2.1)	0.6 (0.2–1.8)	.356	.712	0.12	1.8 (1.6)	3.8 (1.8)	2.4 (0.3–18.2)	.383	.922	0.13
Any MHS outpatient visits (%)
6-Month follow-up	52.1 (7.2)	61.0 (7.2)	1.6 (0.6–4.3)	.354	.811	0.18	54.6 (5.1)	52.8 (5.3)	0.9 (0.5–1.8)	.780	.780	0.04	61.4 (5.3)	55.4 (4.2)	0.7 (0.4–1.4)	.336	.571	0.12
12-Month follow-up	38.1 (7.5)	42.4 (7.6)	1.2 (0.5–2.9)	.616	.961	0.09	45.6 (5.0)	41.3 (4.6)	0.8 (0.4–1.6)	.526	.729	0.09	50.5 (5.3)	48.1 (4.7)	0.9 (0.5–1.7)	.723	.922	0.05
MHS outpatient visits (mean)			IRR						IRR						IRR
6-Month follow-up	13.3 (4.4)	10.4 (2.7)	0.8 (0.3–1.9)	.574	.836	0.10	11.3 (3.7)	8.2 (1.8)	0.7 (0.3–1.9)	.469	.670	0.13	11.7 (3.4)	6.9 (1.4)	0.6 (0.3–1.3)	.186	.571	0.24
12-Month follow-up	3.6 (1.0)	4.4 (1.1)	1.2 (0.7–2.2)	.536	.961	0.08	7.6 (1.8)	4.6 (0.8)	0.6 (0.3–1.1)	.074	.711	0.19	5.7 (1.7)	5.5 (1.0)	1 (0.5–1.9)	.943	.943	0.02
MHS outpatient visits during which advice for medication was received (mean)
6-Month follow-up	14.3 (5.9)	5.7 (1.1)	0.4 (0.2–0.9)	.038	.192	0.31	10.9 (4.4)	4.9 (0.7)	0.5 (0.2–1.1)	.065	.541	0.26	12.4 (4.3)	5.3 (1.1)	0.4 (0.2–1.1)	.080	.571	0.35
12-Month follow-up	6.6 (1.9)	6.1 (1.4)	0.9 (0.5–2.0)	.860	.961	0.05	6.1 (1.3)	6.2 (1.3)	1.0 (0.6–1.8)	.958	.958	0.01	5.4 (1.8)	6.1 (1.3)	1.1 (0.5–2.7)	.737	.922	0.07
MHS outpatient visits during which counseling was received counseling (mean)
6-Month follow-up	24.9 (7.2)	9.0 (2.4)	0.4 (0.2–0.7)	.007	.066	0.48	14.8 (4.5)	12.7 (2.3)	0.9 (0.3–2.4)	.755	.780	0.07	15.8 (5.1)	10.1 (2.5)	0.6 (0.2–1.7)	.343	.571	0.26
12-Month follow-up	8.0 (2.4)	9.0 (1.7)	1.1 (0.5–2.8)	.756	.961	0.08	9.4 (1.9)	7.8 (1.4)	0.8 (0.5–1.4)	.484	.729	0.13	8.9 (2.3)	7.3 (1.6)	0.8 (0.4–1.5)	.511	.922	0.15
Any outpatient substance abuse service or self-help group (%)			OR						OR						OR
6-Month follow-up	39.1 (6.9)	38.8 (5.8)	1.0 (0.4–2.3)	.964	.964	0.01	24.3 (5.0)	30.9 (4.7)	1.5 (0.7–3.3)	.269	.541	.15	23.9 (5.9)	26.6 (6.1)	1.2 (0.4–3.6)	.756	.759	0.06
12-Month follow-up	23.0 (4.7)	22.8 (6.2)	1.0 (0.4–2.6)	.958	.961	0.01	17.7 (3.9)	20.5 (4.2)	1.2 (0.5–3.1)	.656	.729	.07	16.0 (4.5)	19.8 (4.5)	1.3 (0.4–4.3)	.586	.922	0.10
Stayed in residential treatment for substance abuse problem (%)
6-Month follow-up	18.4 (4.7)	19.6 (5.4)	1.1 (0.4–2.7)	.856	.951	0.03	10.5 (4.2)	15.7 (4.1)	1.8 (0.6–5.5)	.308	.541	.16	9.8 (5.2)	12.1 (5.3)	1.3 (0.3–6.2)	.759	.759	0.07
12-Month follow-up	7.3 (3.9)	6.8 (3.4)	1.0 (0.2–4.4)	.961	.961	0.02	10.2 (2.7)	8.3 (3.1)	0.8 (0.3–2.1)	.610	.729	.07	3.7 (2.3)	3.3 (2.0)	0.9 (0.1–5.9)	.872	.943	0.02
Visited PCP (%)
6-Month follow-up	58.3 (6.5)	60.9 (9.4)	1.1 (0.4–3.4)	.804	.951	0.05	64.2 (4.3)	72.0 (4.4)	1.5 (0.8–2.9)	.215	.541	.17	73.3 (3.8)	65.5 (4.3)	0.7 (0.4–1.2)	.156	.571	0.17
12-Month follow-up	53.7 (5.7)	63.7 (7.4)	1.6 (0.7–3.4)	.252	.839	0.20	61.2 (5.4)	70.8 (4.5)	1.6 (0.8–3.1)	.171	.711	.20	62.8 (4.8)	74.5 (4.3)	1.8 (1.0–3.3)	.056	.281	0.25
Visits in community (informal) sector for depression (mean)			IRR						IRR						IRR
6-Month follow-up	2.8 (1.6)	4.7 (1.7)	1.7 (0.5–5.8)	.406	.811	0.14	1.9 (0.8)	4.5 (1.8)	2.3 (0.8–7.1)	.126	.541	.11	1.8 (1.2)	4.3 (1.8)	2.5 (0.5–12.2)	.242	.571	0.18
12-Month follow-up	1.3 (0.8)	4.8 (3.1)	3.6 (0.8–15.7)	.084	.422	0.18	2.4 (0.8)	4.2 (1.8)	1.8 (0.6–5)	.284	.711	.11	1.0 (0.4)	3.2 (1.6)	3.3 (1.0–11)	.050	.281	0.21
Outpatient contacts for depression all sectors (mean)
6-Month follow-up	28.3 (8.0)	33.1 (8.3)	1.2 (0.7–2.1)	.585	.836	0.07	25.2 (7.5)	21.3 (5.5)	0.8 (0.3–2.7)	.735	.780	0.08	22.3 (6.2)	19.1 (4.8)	0.9 (0.4–1.9)	.686	.759	0.08
12-Month follow-up	11.4 (3.5)	21.8 (5.9)	1.9 (1–3.8)	.065	.422	0.27	24.5 (4.5)	17.5 (3.9)	0.7 (0.4–1.2)	.229	.711	0.13	20.5 (5.0)	17.5 (3.7)	0.9 (0.5–1.6)	.622	.922	0.09

Data are estimate (standard error) unless otherwise indicated.
Intervention–by–vulnerable subgroups interaction models were used multiple imputed data, were weighted for eligible sample for enrollment, and accounted for the design effect of the cluster randomization. A logistic regression model was used for binary variables (presented as odds ratio [OR]) and a Poisson regression model for continuous variables (presented as incidence rate ratios [IRRs]), adjusted for baseline status of the dependent variable, age, education, race/ethnicity, 12-month depressive disorder, and community. No significant interactions of intervention and poverty status were found for any outcome variables.
CEP, Community Engagement and Planning; CI, confidence interval; ES, standardized effect size; MHS, mental health specialty; PCP, primary care provider; P_FDR, P value adjusted for false discovery rate; RS, Resources for Services; SA, substance abuse.