G-estimation of structural mean models using instrumental variables
By Joy Shi
Description
G-estimation of structural mean models (SMMs) is one method of estimating the causal effect of a time-varying treatment on an outcome using instrumental variable analysis:
Figure 1. Direct acyclic graph with a time-fixed instrument (Z), time-varying exposure (A), time-fixed outcome (Y), and time-fixed treatment-outcome confounder (U)
Simulated Data Examples
R code is provided to replicate the simulations presented in Appendix 3 of Mendelian randomization with repeated measures of a time-varying exposure: an application of structural mean models.
The simulations assess the use of structural mean models (SMMs) when conducting Mendelian randomization analysis of time-varying exposures. In all simulations, we consider data-generating models with three relevant exposure time points and assess under which conditions we can identify the causal effect of interest. The following table provides a summary of the causal estimand of interest and the assumptions made in the data-generating models for each simulation:
Simulation | Causal estimand of interest | # of exposure measurements considered in the model | Instrument-exposure relationship changes over time? | Effect of exposure modified by previous exposure? | Presence of time-varying outcome-exposure confounding? |
---|---|---|---|---|---|
A.3.1 | Point effect | One | Yes | No | No |
A.3.2 | Period effect | All (three) | Yes | No | No |
A.3.3 | Period effect | All (three) | Yes | No | Yes |
A.3.4 | Period effect | All (three) | Yes | Yes | No |
A.3.5 | Period effect | One | Yes | No | No |
A.3.6 | Period effect | One | No | No | No |
A.3.7 | Period effect | Subset (two) | Yes | No | No |
A.3.8 | Period effect | Subset (two) | No | No | No |
A.3.9 | Period effect | Subset (two) | Yes a | No | No |
a Instrument-exposure relationship changes over certain (but not all) time intervals
- Posted on:
- December 6, 2021
- Length:
- 1 minute read, 26 words
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