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. 2022 Dec 16;22:1535. doi: 10.1186/s12913-022-08902-6

Table 2.

H1: Type III Fixed Effects for Treatment Services while Controlling for Covariates

Source Treatment Initiationa Treatment Engagementb Continuing Carec
df F-test (p) df F-test (p) df F-test (p)
Site pairs 9,10 0.53 (.82) 8,8 4.09 (.03) 8,7 .97 (.52)
Study Phase 4,7973 10.29 (< .0001) 4,6010 10.55 (< .0001) 4,5924 9.53 (< .0001)
Male 1,7973 3.06 (.09) 1,6010 0.03 (.87) 1,5924 0.04 (.85)
White 1,7973 17.21 (< .0001) 1,6010 6.07 (.01) 1,5924 5.58 (.02)
Probation 1,7973 200.50 (< .0001) 1,6010 76.82 (< .0001) 1,5924 58.40 (< .0001)
Positive Urine 1,7973 41.80 (< .0001) 1,6010 24.87(< .0001) 1,5924 19.31 (< .0001)
Maximum Charge Level 1,7973 0.15 (.71) 1,6010 1.41 (.24) 1,5924 2.10 (.15)
% Urbanicity 1,7973 0.67 (.42) 1,6010 5.16 (.03) 1,5924 4.37 (.04)

Note. Probation = Whether or not being on probation. Positive Urine = Whether or not having a positive urine screen. % Urbanicity = Percentage of residents in urban areas. Bold means p < .05

a Treatment Initiation: χ2(1) = 1738.63, p < 0.0001, site variance: 0.03 (0.01), Z = 3.00, p = 0.001, residual variance: 0.13 (0.002), Z = 66.96, p < 0.0001, ES = .01

b Treatment Engagement: χ2(1) = 551.77, p < 0.0001, site variance: 0.01 (0.004), Z = 2.72, p = 0.003, residual variance: 0.08 (0.001), Z = 59.17, p < 0.0001, ES = .01

c Continuing Care: χ2(1) = 264.71, p < 0.0001, site variance: 0.003 (0.001), Z = 2.47, p = 0.007, residual variance: 0.05 (0.001), Z = 58.60, p < 0.0001, ES = .03