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Published on: January 8, 2020
Evaluation of a weighting approach for performing sensitivity analysis after multiple imputation
Panteha Hayati Rezvan1, Ian R White2, Katherine J Lee3,4
1Centre for Epidemiology and Biostatistics, Melbourne School of Population and Global Health, The University of Melbourne, Parkville, Melbourne, VIC, Australia. phayati@student.unimelb.edu.au.
The weighting approach for missing data sensitivity analysis shows bias, even with many imputations. This method is not recommended for multiple imputation (MI) analyses, necessitating further research for better techniques.
Area of Science:
- Statistics
- Data Science
- Biostatistics
Background:
- Multiple imputation (MI) is standard for missing data but assumes data are Missing at Random (MAR).
- Departures from MAR, known as Missing Not At Random (MNAR), are common but difficult to detect.
- Sensitivity analyses are crucial to assess the impact of potential MNAR data on MI results.
Purpose of the Study:
- To evaluate a weighting approach for MNAR sensitivity analyses in MI.
- To assess the robustness of MI results when data are not MAR.
- To compare the performance of weighting-based MNAR estimates against MAR estimates.
Main Methods:
- Simulation studies were conducted to evaluate the weighting approach.
- Missingness in a single variable was simulated, focusing on marginal mean and association parameters.
- A graphical method was assessed for determining the magnitude of departure from MAR.
Main Results:
- The weighting approach showed improvement over the MAR approach but remained biased.
- Biased parameter estimates were observed with the weighting approach, irrespective of the number of imputations.
- The graphical method failed to accurately capture the true parameter value for MAR departure.
Conclusions:
- The weighting approach is not recommended for sensitivity analyses in MI.
- Further research is needed to develop more reliable methods for MNAR sensitivity analyses.
- Standard MI may yield unreliable results if data are MNAR and not properly assessed.
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