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. 2020 Aug 12;15(8):e0237269. doi: 10.1371/journal.pone.0237269

Table 3. Comparison of unexplained deviance in disparities in multi-variable models (N = 485 counties).

Model
Model Fit M0: Unadjusted M1: Adjusted for Region & Urbanicity Effect Modifiers M2: M1 + Homogeneous (Non-Race/Ethnicity-Specific) Factors1 M3: M2 + Race/Ethnicity-Specific Factors2 M4: M2 + Non-Race/Ethnicity-Specific Effect Modifiers1 M5: M3 + Race/Ethnicity-Specific Effect Modifiers2
df Error 965 948 928 927 908 906
BIC 10825 10385 10198 10195 10173 10092
Mean3 0.86 0.86 0.86 0.86 0.86 0.87
Adjusted PRR 2.36 2.36 2.35 2.36 2.37 2.4
Residual Variance 0.41 0.17 0.18 0.18 0.11 0.09
Total Unexplained Deviance4 1.15 0.91 0.91 0.91 0.86 0.85
% Unexplained Deviance 5 64% 81% 80% 81% 87% 90%
Unexplained Deviance Across Models (Diagonals) and Percentage of Deviance Explained by Effect Modifiers (Off-Diagonal) M0 1.15 21% 21% 20% 25% 26%
M1 0.91 0% -1% 5% 6%
M2 0.91 0% 6% 6%
M3 0.91 6% 7%
M4 0.86 1%
M5 0.85

aModels labeled with factors include just their main effects; models labeled with effect modifiers include main effects and interaction terms with ethnicity.

1 Includes the following factors: Female prevalence rate, % IDU, New diagnosis rate, GINI index, % high school education, income inequality ratio, social association rate, violent crime rate, % severe housing problems, % rural, drug overdose mortality rate, Gonorrhea rate, % uninsured, preventable hospitalization rate, healthcare costs, Latino population % change, % Puerto Rican, % not English proficient; % Latino living below poverty.

2 Includes the following factors: Population Ratio (% Latino/ % NL-White).

3 "Mean" coefficient represents the difference between Latino and NL- White log (PRR) after adjusting for county-level factors.

4 “Total Unexplained Deviance” is the sum of “Mean” and “Residual Variance”.

5 Percent unexplained deviance due to difference between Latino and NL- White log (PRR).