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Published on: September 16, 2022
Comparison of methods to handle missing values in a continuous index test in a diagnostic accuracy study - a
Katharina Stahlmann1, Bastiaan Kellerhuis2,3, Johannes B Reitsma2
1Institute of Medical Biometry and Epidemiology, University Medical Center Hamburg Eppendorf, Hamburg, Germany. k.stahlmann@uke.de.
Complete case analysis (CCA) and standard multiple imputation (MI) methods are recommended for missing data in diagnostic accuracy studies with missing completely at random (MCAR) data. Other methods show promise with larger sample sizes or higher correlations.
Area of Science:
- Medical Statistics
- Diagnostic Test Evaluation
- Biostatistics
Background:
- Missing values in index tests can bias diagnostic accuracy studies.
- Complete case analysis (CCA) and single imputation are common but potentially flawed methods.
- Simulation studies are crucial for evaluating methods handling missing data.
Purpose of the Study:
- To compare the performance of various methods for estimating the area under the curve (AUC) of a continuous index test with missing values.
- To assess the impact of different missing data mechanisms (MCAR, MAR, MNAR) on AUC estimation.
- To provide recommendations for handling missing index test data in diagnostic accuracy studies.
Main Methods:
- Simulated data for diagnostic accuracy studies with varying sample sizes, prevalences, and covariate correlations.
- Induced missing values in the continuous index test under different proportions and missingness mechanisms.
- Compared seven methods (including multiple imputation (MI), empirical likelihood, inverse probability weighting) against CCA for AUC estimation.
Main Results:
- CCA performed well with small sample sizes under missing completely at random (MCAR).
- All methods performed well with large sample sizes.
- Augmented inverse probability weighting and standard MI methods were effective under specific conditions (higher prevalence/larger sample size).
- Most methods showed bias under missing not at random (MNAR), especially with low correlation or small sample size/prevalence.
Conclusions:
- Standard MI and CCA are recommended for MCAR data with small and large sample sizes, respectively.
- CCA limitations should be discussed for small sample sizes with missing at random (MAR) or MNAR data.
- Augmented inverse probability weighting and MI are viable alternatives with increased sample size and/or correlation.
- All evaluated methods were biased under MNAR with low correlation.
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