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Missing Data in Marginal Structural Models: A Plasmode Simulation Study Comparing Multiple Imputation and Inverse
Shao-Hsien Liu1,2, Stavroula A Chrysanthopoulou3, Qiuzhi Chang4
1Clinical and Population Health Research Program, Graduate School of Biomedical Sciences.
Background:
The use of marginal structural models (MSMs) to adjust for time-varying confounding has increased in epidemiologic studies. However, in the setting of MSMs, recommendations for how best to handle missing data are contradictory. We present a plasmode simulation study to compare the validity and precision of MSMs estimates using complete case analysis (CC), multiple imputation (MI), and inverse probability weighting (IPW) in the presence of missing data on time-independent and time-varying confounders.
Materials And Methods:
Simulations were based on a cohort substudy using data from the Osteoarthritis Initiative which estimated the marginal causal effect of intra-articular injection use on yearly changes in knee pain. We simulated 81 scenarios with parameter values varied on missing mechanisms (MCAR, MAR, and MNAR), percentages of missing (10%, 20%, and 30%), type of confounders (time-independent, time-varying, either or both), and analytical approaches (CC, IPW, and MI). The performance of CC, IPW, and MI methods was compared using relative bias, mean squared error of the estimates of interest, and empirical power.
Results:
Across scenarios defined by missing data mechanism, extent of missing data, and confounder type, MI generally produced less biased estimates (range: 1.2%-6.7%) with better precision (range: 0.17-0.18) compared with IPW (relative bias: -5.3% to 8.0%; precision: 0.19-0.53). Empirical power was constant across the scenarios using MI.
Conclusions:
Under simple yet realistically constructed scenarios, MI seems to confer an advantage over IPW in MSMs applications.
Insights
Multiple imputation (MI) offers better validity and precision for marginal structural models (MSMs) with missing data compared to inverse probability weighting (IPW). This study highlights MI
Area of Science:
- Epidemiology
- Biostatistics
- Causal Inference
Background:
- Marginal structural models (MSMs) are increasingly used in epidemiology to address time-varying confounding.
- Contradictory recommendations exist for handling missing data within MSMs.
- This study addresses the need for clear guidance on missing data methods in MSMs.
Purpose of the Study:
- To compare the validity and precision of MSMs estimates using complete case analysis (CC), multiple imputation (MI), and inverse probability weighting (IPW).
- To evaluate these methods under various missing data scenarios, including different missing mechanisms, percentages, and confounder types.
Main Methods:
- A plasmode simulation study was conducted using data from the Osteoarthritis Initiative.
- 81 scenarios were simulated, varying missing mechanisms (MCAR, MAR, MNAR), missing percentages (10-30%), confounder types (time-independent/varying), and analytical approaches (CC, IPW, MI).
- Performance was assessed using relative bias, mean squared error, and empirical power.
Main Results:
- Multiple imputation (MI) generally yielded less biased estimates (1.2%-6.7%) with better precision (0.17-0.18) than inverse probability weighting (IPW) (relative bias: -5.3% to 8.0%; precision: 0.19-0.53).
- MI demonstrated consistent empirical power across all simulated scenarios.
- Complete case analysis (CC) was not explicitly detailed in results but implied to be less performant.
Conclusions:
- Multiple imputation (MI) demonstrates a clear advantage over inverse probability weighting (IPW) for handling missing data in marginal structural models (MSMs).
- These findings provide practical guidance for researchers using MSMs in the presence of missing confounder data.
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