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. Author manuscript; available in PMC: 2018 Jul 25.
Published in final edited form as: Biometrics. 2015 Sep 22;72(1):242–252. doi: 10.1111/biom.12413

Table 4.

Estimation of marginal distributions for income and health insurance, and linear regression coefficients for the regression of BMI (dependent variable) on income, age and gender (independent variables). (Complete case analysis presented is weighted.)

Methods
Sample Estimation Variable Complete Case Parametric MI (M=5) Synthetic MI (L=100, S=30, M=5)
Exclude weights Include log(weights) Exclude weights Include log(weights)
Pt.est. SE Pt.est. SE Pt.est. SE Pt.est. SE Pt.est. SE
Full Sample Marginal Low Income 0.50 0.04 0.50 0.04 0.52 0.05 0.52 0.04 0.51 0.04
Medium Income 0.38 0.04 0.36 0.04 0.36 0.04 0.36 0.04 0.36 0.04
High Income 0.12 0.03 0.14 0.03 0.12 0.03 0.13 0.03 0.13 0.03
No insurance 0.22 0.04 0.24 0.04 0.24 0.04 0.24 0.04 0.24 0.04
Regression Intercept 27.0 2.75 26.1 2.02 25.8 2.05 26.3 2.29 26.2 2.30
Medium income 0.47 1.40 0.35 1.21 0.39 1.19 0.37 0.94 0.37 0.95
High income 0.27 1.43 −0.47 1.32 −0.33 1.37 −0.36 1.40 −0.31 1.40
Age 0.02 0.04 0.03 0.03 0.04 0.03 0.03 0.03 0.03 0.03
Female 2.29 1.30 2.72 1.06 2.56 1.07 2.57 1.06 2.55 1.05
Whites Domain Marginal Low Income 0.30 0.07 0.36 0.07 0.35 0.06 0.34 0.06 0.34 0.06
Medium Income 0.53 0.08 0.48 0.07 0.50 0.07 0.49 0.06 0.49 0.06
High Income 0.17 0.06 0.16 0.06 0.15 0.05 0.17 0.06 0.17 0.06
No insurance 0.24 0.07 0.21 0.06 0.21 0.06 0.19 0.06 0.19 0.06
Regression Intercept 31.1 3.9 32.4 4.7 31.0 4.1 31.0 4.2 31.0 4.1
Medium income −1.6 3.25 −2.8 2.83 −2.1 2.72 −1.8 2.96 −1.7 2.97
High income −3.1 3.60 −3.5 3.42 −3.2 3.18 −3.1 3.65 −3.0 3.62
Age 0.02 0.06 −0.01 0.06 0.02 0.06 0.02 0.06 0.02 0.05
Female −1.7 2.39 −0.13 2.13 −0.68 2.11 −0.80 2.17 −0.75 2.17