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. Author manuscript; available in PMC: 2019 Jul 10.
Published in final edited form as: Stat Med. 2018 Apr 22;37(15):2321–2337. doi: 10.1002/sim.7672

TABLE 4.

Analysis for a secondary outcome: child’s birth weight in CPP study

Variables SRS IPW AIPW
Int Estimate 3208.14 3209.44 3089.24
SE 86.54 79.49 21.97
95% CI (3038.52, 3377.76) (3053.64, 3365.24) (3046.18, 3132.30)
PCB Estimate −0.67 −5.44 −5.49
SE 9.20 8.41 8.46
95% CI (−18.70, 17.36) (−21.92, 11.04) (−22.07, 11.09)
EDU Estimate −8.97 −8.81 1.70
SE 9.10 8.39 1.36
95% CI (−26.81, 8.87) (−25.25, 7.63) (−0.97, 4.37)
SES Estimate 13.94 16.06 13.58
SE 10.77 10.33 2.16
95% CI (−7.17, 35.05) (−4.19, 36.31) (9.35, 17.81)
RACE Estimate 204.10 206.16 189.84
(WHITE = 1) SE 38.13 37.93 6.29
95% CI (129.37, 278.83) (131.82, 280.50) (177.51, 202.17)
GENDER Estimate −147.69 −145.65 −119.25
(FEMALE = 1) SE 34.72 31.96 5.33
95% CI (−215.74, −79.64) (−208.29, −83.01) (−129.70, −108.80)

The response variable is child’s birth weight in grams. The expensive exposure is mother’s polychlorinated biphenyl (PCB) level. Other confounding variables include: parent’s education level (EDU), social economic status of the child’s family (SES), race ethnicity of the child (RACE), and gender of the child (GENDER). The results under simple random sample (SRS) are the regression analysis using the SRS portion of the outcome-dependent sampling sample. Inverse probability weighted (IPW) is the inverse probability weighted estimating equation, and augmented IPW (AIPW) is the augmented inverse probability weighted estimating equation we proposed. SE, standard error.