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. Author manuscript; available in PMC: 2021 Aug 1.
Published in final edited form as: Psychiatr Serv. 2020 Apr 28;71(8):765–771. doi: 10.1176/appi.ps.201800500

Table 1.

Bayesian Multilevel Models of Adherence to Medication and Psychotherapy

Model 1 Model 2
Estimate 95% Cl Estimate 95% Cl
Antidepressant
 Fixed Effects
  Intercept (b00) 1.08 [1.06, 1.10] 1.26 [1.23, 1.30]
  Racial-Ethnic status (b10) −0.67 [−0.69, −0.66] −0.44 [−0.48, −0.39]
  Prior Mental Health (b20) 0.17 [0.16, 0.19] 0.18 [0.16, 0.20]
  Prior Medication treatment(b30) 0.24 [0.22, 0.26] 0.24 [0.22, 0.26]
  Neighborhood Income (b40) −0.13 [−0.15, −0.12] −0.12 [−0.13, −0.10]
  Proportion Minority Patients (b50) - - −0.42 [−0.50, −0.34]
  Prop Minority X Racial-Ethnic Status (b60) - - −0.39 [−0.48, −0.30]
 Provider-Level Random Effects
  Intercept (S0j) 0.36 [0.34, 0.38] 0.35 [0.33, 0.37]
  R-E status (S1j) 0.10 [0.03, 0.16] 0.07 [0.00, 0.13]
  Correlation (rj) 0.05 [−0.20, 0.51] −0.25 [−0.69, 0.26]
Psychotherapy
 Fixed Effects
  Intercept (b00) −0.04 [−0.07, 0.01] 0.42 [0.36, 0.48]
  Racial-Ethnic status (b10) −0.14 [−0.16, −0.11] −0.26 [−0.31, −0.20]
  Prior Mental Health (b20) 0.08 [0.06, 0.09] 0.08 [0.06, 0.09]
  Prior Medication treatment (b30) −0.14 [−0.16, −0.12] −0.14 [−0.16, −0.12]
  Neighborhood Income (b40) −0.06 [−.0.07, −0.04] −0.05 [−0.06, −0.03]
  Proportion Minority Patients (b50) - - −1.06 [−1.18, −0.94]
  Prop Minority X Racial-Ethnic Status (b60) - - 0.29 [0.18, 0.39]
 Provider-Level Random Effects
  Intercept (S0j) 0.72 [0.69, 0.75] 0.68 [0.66, 0.71]
  Racial-ethnic status (S1j) 0.21 [0.18, 0.24] 0.20 [0.17, 0.23]
  Correlation (rj) −0.80 [−0.87, −0.72] −0.78 [−0.86, −0.70]

95% CI 95% credible interval. Model 1 is a Bayesian mixed effects model that estimates if the effect of racial-ethnic minority status on adherence varied across providers. Model 2 is identical except that effect for the proportion of racial-ethnic minority patients in a providers caseload are added as co-variates.