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. 2020 Mar 4;43(5):1016–1024. doi: 10.2337/dc19-1622

Table 3.

Fixed and random effects from three-level random intercept logistic regression models for diabetes screening (N = 56,818)

Hierarchical nested three-level models Cross-classified model
Model 1 Model 2 Model 3 Model 4
Unconditional model With patient-level factors only With patient- and clinic-level factors With patient-, clinic-, and provider-level factors With patient-, clinic-, and provider-level factors
Random effects
 Variance (SE)
  Clinic 0.311 (0.15) 0.276 (0.14) 0.284 (0.15) 0.233 (0.13) 0.234 (0.13)
  Provider in clinic 0.420 (0.04) 0.299 (0.06) 0.303 (0.06) 0.274 (0.06) 0.281 (0.06)
 Intraclass correlation 0.185 0.149 0.151 0.134 0.135
 MOR 2.261 2.061 2.08 1.97 1.98
 AIC, BIC 61,919, 61,921 7,301, 7,312 7,303, 7,314 7,298, 7,310 7,301, 7,253
Fixed effects AOR (95% CI) AOR (95% CI) AOR (95% CI) AOR (95% CI)
 Patient-level factors
  Age 1.01 (1.01, 1.02) 1.01 (1.01, 1.02) 1.01 (1.01, 1.02) 1.01 (1.01, 1.02)
  BMI 1.03 (1.02, 1.04) 1.03 (1.02, 1.04) 1.03 (1.02, 1.04) 1.03 (1.02, 1.04)
  Sex
   Male Reference Reference Reference Reference
   Female 1.26 (1.11, 1.42) 1.26 (1.11, 1.42) 1.26 (1.11, 1.42) 1.25 (1.11, 1.41)
  Race/ethnicity
   White Reference Reference Reference Reference
   Black 1.01 (0.86, 1.18) 1.02 (0.87, 1.19) 1.02 (0.87, 1.20) 1.02 (0.87, 1.20)
   Hispanic 1.03 (0.87, 1.23) 1.04 (0.88, 1.24) 1.05 (0.88, 1.24) 1.04 (0.88, 1.24)
   Other 1.06 (0.76, 1.48) 1.09 (0.78, 1.53) 1.10 (0.79, 1.54) 1.10 (0.79, 1.54)
  Prediabetes
   No Reference Reference Reference Reference
   Yes 1.55 (1.14, 2.12) 1.53 (1.12, 2.09) 1.53 (1.12, 2.09) 1.52 (1.12, 2.07)
  Family history of diabetes
   No Reference Reference Reference Reference
   Yes 1.12 (0.97, 1.30) 1.12 (0.97, 1.30) 1.12 (0.97, 1.30) 1.13 (0.98, 1.30)
  Hyperlipidemia
   No Reference Reference Reference Reference
   Yes 1.71 (1.49, 1.96) 1.71 (1.49, 1.96) 1.70 (1.48, 1.95) 1.70 (1.48, 1.95)
  Hypertension
   No Reference Reference Reference Reference
   Yes 1.23 (1.07, 1.40) 1.23 (1.07, 1.40) 1.22 (1.07, 1.39) 1.22 (1.07, 1.39)
  Gestational diabetes
   No Reference Reference Reference Reference
   Yes 0.96 (0.27, 3.43) 1.01 (0.28, 3.61) 1.06 (0.29, 3.85) 1.09 (0.30, 3.95)
  Infant >9 lbs
   No Reference Reference Reference Reference
   Yes 1.91 (0.78, 4.68) 1.98 (0.80, 4.89) 1.92 (0.78, 4.73) 1.92 (0.78, 4.72)
  Cardiovascular disease
   No Reference Reference Reference Reference
   Yes 1.05 (0.84, 1.31) 1.05 (0.84, 1.32) 1.05 (0.84, 1.31) 1.05 (0.84, 1.32)
  Employment status
  Employed Reference Reference Reference Reference
  Not employed 0.92 (0.80, 1.05) 0.92 (0.80, 1.05) 0.92 (0.80, 1.05) 0.92 (0.80, 1.06)
  Marital status
   Married Reference Reference Reference Reference
   Not married 0.80 (0.70, 0.92) 0.81 (0.70, 0.92) 0.81 (0.70, 0.92) 0.81 (0.70, 0.93)
  Insurance
   Uninsured Reference Reference Reference Reference
   Insured* 0.79 (0.69, 0.91) 0.79 (0.69, 0.91) 0.80 (0.69, 0.91) 0.79 (0.69, 0.91)
   Self-pay 0.73 (0.53, 1.01) 0.75 (0.54, 1.04) 0.74 (0.54, 1.03) 0.74 (0.54, 1.03)
  Ever smoked
   No Reference Reference Reference Reference
   Yes 0.80 (0.70, 0.91) 0.80 (0.71, 0.91) 0.80 (0.71, 0.91) 0.80 (0.71, 0.91)
 Clinic-level factor
  Clinic type
   Teaching Reference Reference Reference Reference
   Nonteaching 1.01 (0.71, 1.45) 1.07 (0.74, 1.55) 1.06 (0.74, 1.54)
 Provider-level factor
  Provider type
   Attending/physician Reference Reference Reference Reference
   NP/PA/MW 0.64 (0.46, 0.89) 0.66 (0.47, 0.93)
   Physician in training 1.23 (0.76, 1.99) 1.32 (0.81, 2.14)

Boldface type indicates statistical significance. AIC, Akaike information criterion; AOR, adjusted odds ratio; BIC, Bayesian information criterion; MW, midwife; NP, nurse pratitioner, PA, physician assistant.

*

Insured includes commercial and Medicaid.

Physician in training includes residents and fellows.