. Author manuscript; available in PMC: 2020 Nov 27.

Published in final edited form as: Assessment. 2020 Feb 10;27(6):1075–1088. doi: 10.1177/1073191120903092

Table 3.

Weighted Odds Ratios (OR) Adjusted for Gender Comparing the Overall Optimal Solution in NSDUH 2013 with the Optimal Solution for Each Subgroup

	Female (N = 12,081)				Male (N = 11,808)				18-25 (N = 11,918)
External Validator	OR (95% CI)		Δc	χ²_diff	OR (95% CI)		Δc	χ²_diff	OR (95% CI)		Δc	χ²_diff
	Overall	Subgroup			Overall	Subgroup			Overall	Subgroup
Formal Treatment	25.29 (13.96, 45.85)	31.54 (17.36, 57.29)	0.020	146364.53^*	9.75 (6.39, 14.88)	10.06 (6.64, 15.24)	0.018	123162.14^*	6.29 (4.25, 9.30)	5.56 (3.79, 8.15)	0.050	61815.08^*
Informal Treatment	31.23 (14.38, 67.82)	37.22 (17.09, 81.06)	0.014	74428.01^*	17.29 (9.74, 30.72)	17.22 (9.71, 30.52)	0.013	73488.96^*	12.33 (7.30, 20.83)	8.28 (4.81, 14.24)	0.028	11828.42^*
Mood Disorder	4.89 (3.58, 6.66)	4.62 (3.31, 6.47)	0.003	7580.67^*	6.08 (4.39, 8.42)	6.07 (4.35, 8.47)	0.005	181844.12^*	3.52 (2.81, 4.40)	2.43 (2.01, 2.94)	0.008	25998.22^*
Anxiety Disorder	3.52 (2.59, 4.79)	3.05 (2.18, 4.27)	0.000	1911.95^*	3.69 (2.60, 5.23)	3.37 (2.38, 4.79)	0.003	16437.08^*	2.59 (2.00, 3.37)	2.19 (1.77, 2.70)	0.010	44868.25^*
Suicide	4.09 (2.87, 5.82)	3.91 (2.67, 5.74)	0.007	4428.00^*	4.67 (3.31, 6.60)	4.90 (3.36, 7.14)	0.003	854009.50^*	2.72 (2.14, 3.45)	2.25 (1.84, 2.76)	0.016	44652.72^*
Cannabis Use Disorder	6.33 (4.23, 9.47)	6.26 (4.13, 9.50)	0.016	7072.64^*	5.47 (3.99, 7.50)	5.46 (4.03, 7.40)	0.012	83790.64^*	3.22 (2.53, 4.11)	2.94 (2.38, 3.63)	0.019	112222.63^*
Drug Use Disorder	12.68 (7.78, 20.65)	13.72 (8.33, 22.60)	0.015	51500.00^*	9.53 (6.68, 13.59)	9.27 (6.52, 12.17)	0.009	98921.05^*	6.90 (5.15, 9.24)	5.92 (4.54, 7.72)	0.030	138704.66^*
Age of first drink ≤ 15	3.23 (2.46, 4.25)	3.22 (2.38, 4.35)	0.003	24582.44^*	2.26 (1.80, 2.83)	2.41 (1.93, 3.02)	0.004	228628.20^*	2.38 (1.99, 2.84)	2.19 (1.92, 2.50)	0.020	189838.61^*
	26-34 (N = 3,816)				35-49 (N = 4,838)				50+ (N = 3,317)
External Validator	OR (95% CI)		Δc	χ²_diff	OR (95% CI)		Δc	χ²_diff	OR (95% CI)		Δc	χ²_diff
	Overall	Subgroup			Overall	Subgroup			Overall	Subgroup
Formal Treatment	11.05 (5.67, 21.53)	5.94 (3.12, 11.31)	0.000	118.49^*	13.75 (7.07, 26.75)	20.28 (10.66, 38.58)	0.035	257146.88^*	28.76 (9.90, 83.49)	32.35 (11.62, 90.01)	0.008	158582.46^*
Informal Treatment	17.84 (7.54, 42.40)	11.29 (4.76, 26.75)	0.087	13818.24^*	22.63 (10.06, 50.95)	41.16 (18.24, 92.88)	0.065	242695.00^*	32.17 (8.19, 126.32)	33.71 (8.67, 131.01)	0.029	74505.33^*
Mood Disorder	4.27 (2.70, 6.73)	3.22 (2.21, 4.68)	0.019	68841.87^*	7.15 (4.62, 11.06)	4.75 (3.15, 7.15)	0.000	4445.24^*	5.61 (2.82, 11.16)	5.91 (2.96, 11.98)	0.003	160364.43^*
Anxiety Disorder	3.54 (2.20, 5.71)	2.71 (1.84, 3.99)	0.012	47080.50^*	4.31 (2.84, 6.56)	3.91 (2.62, 5.85)	0.004	28004.55^*	2.03 (0.88, 4.69)	2.57 (1.27, 5.21)	0.003	76070.43^*
Suicide	5.59 (3.24, 9.65)	3.87 (2.42, 6.19)	0.015	35393.06^*	5.80 (3.59, 9.39)	5.30 (3.31, 8.50)	0.007	34813.45^*	2.48 (1.17, 5.29)	3.90 (1.56, 9.74)	0.001	212878.25^*
Cannabis Use Disorder	5.01 (2.53, 9.94)	5.24 (2.97, 9.24)	0.063	125450.17^*	6.91 (3.26, 14.65)	4.94 (2.41, 10.14)	0.000	38.08^*	2.35 (0.50, 11.11)	5.41 (1.38, 21.13)	0.053	51407.69^*
Drug Use Disorder	5.07 (2.65, 9.71)	3.71 (2.06, 6.66)	0.045	28621.52^*	18.92 (9.90, 36.15)	17.28 (9.07, 32.91)	0.029	42746.87^*	18.08 (6.84, 47.84)	18.31 (7.05, 47.57)	0.013	73117.02^*
Age of first drink ≤ 15	2.71 (1.91, 3.84)	1.94 (1.49, 2.53)	0.014	32691.61^*	2.81 (1.98, 4.00)	3.44 (2.51, 4.71)	0.004	259434.68^*	1.76 (1.01, 3.05)	1.81 (1.09, 3.00)	0.002	47629.33^*
	White (N = 15,653)				Black (N = 2,785)				Hispanic (N = 3,477)
External Validator	OR (95% CI)		Δc	χ²_diff	OR (95% CI)		Δc	χ²_diff	OR (95% CI)		Δc	χ²_diff
	Overall	Subgroup			Overall	Subgroup			Overall	Subgroup
Formal Treatment	18.44 (11.77, 28.91)	21.04 (13.51, 32.77)	0.022	178567.54^*	8.56 (3.25, 22.55)	7.41 (2.72, 20.19)	0.016	6535.07^*	9.93 (3.63, 27.15)	8.26 (3.09, 22.10)	0.017	33516.00^*
Informal Treatment	31.82 (17.76, 57.00)	31.82 (17.91, 56.55)	0.010	63937.74^*	13.24 (3.02, 57.96)	13.42 (3.10, 58.14)	0.091	12880.49^*	9.76 (2.32, 41.11)	11.35 (3.08, 41.88)	0.024	64883.04^*
Mood Disorder	5.16 (3.92, 6.80)	5.31 (4.02, 7.02)	0.004	106247.53^*	4.50 (2.36, 8.59)	4.63 (2.46, 8.70)	0.011	25074.98^*	6.13 (3.45, 10.89)	6.65 (3.45, 12.80)	0.004	164766.79^*
Anxiety Disorder	3.47 (2.64, 4.56)	3.13 (2.37, 4.12)	0.001	502.99^*	4.14 (1.82, 9.40)	3.63 (1.71, 7.73)	0.010	4549.24^*	4.04 (2.25, 7.24)	3.70 (2.09, 6.55)	0.010	27180.89^*
Suicide	3.84 (2.82, 5.23)	3.80 (2.79, 5.18)	0.004	26372.30^*	7.62 (3.76, 15.45)	7.99 (3.97, 16.07)	0.029	45929.45^*	5.03 (2.69, 9.39)	5.86 (2.69, 12.73)	0.015	130702.89^*
Cannabis Use Disorder	4.86 (3.50, 6.75)	6.28 (4.58, 8.61)	0.009	212428.26^*	5.32 (2.91, 9.72)	4.22 (2.41, 7.37)	0.009	1201.68^*	8.03 (4.34, 14.88)	5.95 (3.17, 11.14)	0.011	20374.17^*
Drug Use Disorder	8.22 (5.84, 11.57)	8.78 (6.26, 12.31)	0.010	91204.02^*	12.76 (4.70, 34.64)	18.34 (7.06, 47.63)	0.051	97309.88^*	30.79 (15.41, 61.49)	30.45 (15.16, 61.16)	0.028	194904.85^*
Age of first drink ≤ 15	2.60 (2.08, 3.25)	2.91 (2.33, 3.64)	0.001	214168.46^*	3.06 (1.86, 5.02)	3.11 (1.91, 5.06)	0.004	32405.31^*	2.38 (1.58, 3.58)	2.58 (1.67, 3.97)	0.007	110340.31^*

Note. The male and female groups do not include gender in the model. χ²_diff refers to the Chi-Square difference test between the reduced model (i.e., the overall optimal solution controlling for gender) and the full model (i.e., the reduced model plus the subgroup optimal solution). Weighted refers to the application of NSDUH’s person-level sampling weights to estimate the given statistics. The measure “c” is equivalent to ROC and ranges from 0.5 to 1. Change in c is the full model minus the reduced model.

p < .001