Table A1.

Fit Statistics from Latent Profile Analysis on Standardized Opioid Overdose Mortality between 2002–2004, 2008–2010, and 2014–2016 for n = 3,079 Counties in the Conterminous U.S.

Class Stage	BIC	BIC Change	Relative Entropy	VLMR Test	LMR Test
1	59,670	n.a.	1.000	n.a.	n.a.
2	51,830	−13.139%	0.696	7,884***	7,776***
3	49,006	−5.449%	0.952	2,867***	2,828***
4	46,613	−4.883%	0.967	2,437**	2,404**
5	44,873	−3.733%	0.947	1,784***	1,760***
6	43,360	−3.372%	0.943	1,557	1,535
7	42,128	−2.841%	0.950	1,276	1,258
8	41,239	−2.110%	0.944	932	920
9	40,192	−2.539%	0.945	876	864
10	39,227	−2.401%	0.947	1,007†	993†
11	38,616	−1.558%	0.951	654†	645†
12	38,049	−1.468%	0.950	611	603

Notes: BIC is the sample size adjusted Bayesian information criterion. VLMR is the Vuong-Lo-Mendell-Rubin Likelihood Ratio Test. LMR is the Lo-Mendell-Rubin Likelihood Ratio Test.

^†p< .10;

^*p< .05;

^**p< .01;

^***p< .001.