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. Author manuscript; available in PMC: 2015 Jun 2.
Published in final edited form as: J Causal Inference. 2014 Mar 22;2(1):95–108. doi: 10.1515/jci-2013-0025

Table 5.

Estimates for specific intervention comparisons with different estimation methods

Method Intervention
Physical activity (95% CI) Energy intake (95% CI)
Ψ1 NAÏVE −0.134 (−0.429, 0.100) −0.056 (−0.254, 0.212)
MTLR −0.010 (−0.122, 0.103) −0.099 (−0.166, −0.027)
SL 0.0001 (−0.115, 0.086) −0.055 (−0.167, −0.047)*
TMLE 0.057 (−0.520, 0.634) −0.026 (−0.458, 0.406)
Ψ2 NAÏVE −0.002 (0.617, 0.497) 0.161 (−0.471, 0.237)
MTLR −0.206 (−0.382, −0.032)* −0.148 (−0.298, 0.019)
SL −0.106 (−0.345, 0.043) −0.085 (−0.306, −0.018)*
TMLE −0.044 (−0.304, 0.216) −0.005 (−0.227, 0.217)
Ψ3 NAÏVE 0.125 (−0.481, 0.582) −0.103 (−0.628, 0.163)
MTLR −0.239 (−0.436, −0.057) −0.032 (−0.206, 0.145)
SL −0.131 (−0.363, −0.064)* −0.0261 (−0.200, 0.100)
TMLE −0.114 (−0.330, 0.103) 0.089 (−0.157, 0.335)
Ψ4 NAÏVE −0.007 (−0.226, 0.149) 0.002 (−0.426, 0.174)
MTLR −0.437 (−0.110, 0.022) 0.017 (−0.087, 0.114)
SL −0.025 (−0.093, 0.020) 0.004 (−0.080, 0.095)
TMLE −0.012 (−0.620, 0.596) 0.068 (−0.354, 0.491)
Ψ5 NAÏVE −0.348 (−0.646, −0.095)* −0.056 (−0.325, 0.307)
MTLR −0.114 (−0.312, 0.083) −0.228 (−0.388, −0.065)*
SL −0.059 (−0.271, 0.076) −0.123 (−0.400, −0.108)*
TMLE 0.049 (−0.170, 0.269) −0.192 (−0.374, −0.010)*

Notes: Naïve corresponds to an unadjusted comparison under different interventions. MTLR corresponds to main effects multivariable linear regression. SL corresponds to a simple substitution estimator based on SL. TMLE corresponds to targeted maximum-likelihood estimates. Values are differences in BMI z-scores, and

*

indicates statistically significant association.