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A comparison of full information maximum likelihood and multiple imputation in structural equation modeling with
1Department of Psychology, Chung-Ang University.
Full Information Maximum Likelihood (FIML) and Multiple Imputation (MI) yield similar results when data models are correct. When models are misspecified, MI estimates align better with complete data, while FIML better approximates specific fit indices.
Area of Science:
- Statistics
- Psychometrics
- Data Analysis
Background:
- Missing data is a common challenge in statistical analyses.
- Full Information Maximum Likelihood (FIML) and Multiple Imputation (MI) are two prominent methods for handling missing data.
- Understanding their performance under various conditions is crucial for accurate research.
Purpose of the Study:
- To compare the performance of FIML and MI missing data procedures.
- To investigate their relative accuracy against complete data analyses.
- To identify discrepancies when the statistical model is misspecified.
Main Methods:
- Monte Carlo simulation studies were employed.
- Researchers had access to original complete data for comparison.
- Analyses varied sample size, missingness percentage, and model misfit.
Main Results:
- FIML and MI produced equivalent results to each other and complete data when the model was correctly specified.
- When the model was misspecified, MI parameter estimates, CFI, and TLI were closer to complete data estimates.
- FIML chi-squares and RMSEA were closer to complete data estimates under model misspecification.
Conclusions:
- The choice between FIML and MI can impact results, particularly with model misspecification.
- Discrepancies arise from the interplay between imputation model parsimony and accuracy.
- Further research is needed to explore practical and methodological implications.
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