Table 2

Logistic regression analysis of drug use among individuals who left home once a week or less

	Model 1	Model 2	Model 3	Model 4	Model 5	Model 6	Model 7	Model 8	Model 9	Model 10
	Painkiller	Stimulant	Sedative	Marijuana	Cocaine	Club drug	Hallucinogen	Heroin	Inhalant	Meth
	OR (p value)	OR (p value)	OR (p value)	OR (p value)	OR (p value)	OR (p value)	OR (p value)	OR (p value)	OR (p value)	OR (p value)
Age	0.97 (0.002)	0.93 (<0.001)	0.96 (<0.001)	0.96 (<0.001)	0.93 (<0.001)	0.92 (<0.001)	0.94 (<0.001)	0.93 (<0.001)	0.94 (<0.001)	0.94 (<0.001)
Female	0.30 (<0.001)	0.27 (<0.001)	0.31 (<0.001)	0.45 (0.01)	0.26 (<0.001)	0.30 (0.001)	0.33 (0.002)	0.35 (0.01)	0.24 (<0.001)	0.32 (0.002)
Minority*	1.88 (0.04)	1.86 (0.08)	1.69 (0.08)	1.03 (0.91)	1.42 (0.36)	1.75 (0.14)	1.73 (0.14)	2.09 (0.06)	2.08 (0.07)	1.74 (0.15)
Married or cohabit	1.13 (0.71)	1.65 (0.23)	1.23 (0.53)	1.15 (0.66)	1.96 (0.16)	2.05 (0.13)	1.61 (0.28)	2.67 (0.04)	1.81 (0.22)	1.87 (0.18)
Household with children	2.94 (0.001)	2.56 (0.02)	1.98 (0.04)	2.13 (0.01)	1.78 (0.19)	2.03 (0.11)	3.01 (0.01)	2.21 (0.08)	3.47 (0.01)	3.12 (0.01)
Work fulltime	1.22 (0.55)	0.98 (0.96)	0.84 (0.58)	1.29 (0.41)	0.95 (0.91)	1.13 (0.77)	1.01 (0.99)	1.12 (0.78)	1.19 (0.69)	1.22 (0.63)
College and above	1.28 (0.43)	1.82 (0.12)	1.76 (0.07)	0.79 (0.43)	1.43 (0.39)	1.28 (0.55)	1.21 (0.64)	1.48 (0.36)	1.56 (0.30)	1.11 (0.80)
Family network	1.01 (0.89)	1.02 (0.76)	1.01 (0.80)	1.02 (0.68)	1.07 (0.33)	1.06 (0.40)	1.05 (0.51)	1.08 (0.27)	1.13 (0.10)	1.12 (0.12)
Friendship network	1.08 (0.13)	1.19 (0.002)	1.09 (0.06)	1.10 (0.03)	1.21 (0.002)	1.21 (0.003)	1.20 (0.003)	1.18 (0.01)	1.14 (0.06)	1.16 (0.02)
Trauma symptoms	1.04 (0.046)	1.02 (0.34)	1.04 (0.047)	1.02 (0.41)	1.05 (0.06)	1.05 (0.10)	1.03 (0.21)	1.05 (0.09)	1.04 (0.15)	1.03 (0.25)
Depression	1.19 (0.18)	1.41 (0.02)	1.19 (0.15)	1.30 (0.03)	1.09 (0.60)	1.27 (0.15)	1.38 (0.045)	1.31 (0.11)	1.44 (0.04)	1.30 (0.11)
Anxiety	0.99 (0.71)	0.99 (0.90)	1.02 (0.57)	0.97 (0.50)	1.01 (0.86)	0.97 (0.53)	0.96 (0.39)	0.96 (0.49)	0.94 (0.30)	0.98 (0.72)
Pain on most days	2.80 (<0.001)	3.11 (0.002)	1.48 (0.19)	2.45 (0.002)	3.31 (0.01)	4.67 (<0.001)	5.11 (<0.001)	4.12 (0.001)	5.61 (<0.001)	4.31 (<0.001)
Constant†	0.10 (0.004)	0.08 (0.01)	0.12 (0.01)	0.29 (0.08)	0.04 (0.001)	0.04 (0.002)	0.03 (<0.001)	0.02 (<0.001)	0.01 (<0.001)	0.02 (<0.001)
Nagelkerke R²‡	43.10%	55.10%	39.40%	36.40%	53.10%	55.80%	54.90%	55.00%	58.00%	54.20%
AUC§	0.853	0.91	0.835	0.821	0.917	0.925	0.915	0.921	0.93	0.92

*Minority status (or protected class) individuals are defined as African American, Hispanic American, Native American Indian, Asian/Pacific American or female by the Civil Rights Act of 1991 (Public Law 102–166, USA). Individuals who are disabled, defined by the American with Disabilities Act of 1990, 42 USC § 12101), are also categorised as minority. These categories are used in the US Census.
†Also known as the intercept or β₀, which represents the log-odds of the outcome when all predictor variables are equal to zero.
‡This is a pseudo R² statistic used to assess the goodness of fit of a logistic regression model. Traditional R² (in linear regression) does not apply to logistic regression, so Nagelkerke R² provides an adjusted measure of how well the independent variables explain the variability in the dependent variable.
§AUC, which The AUC quantifies the probability that a randomly chosen positive instance is ranked higher by the model than a randomly chosen negative instance. It ranges from 0 to 1, where: AUC=0.5 suggests no discrimination (random guessing), AUC<0.5 indicates worse-than-random classification and AUC=1 represents perfect classification.
AUC, area under the curve.