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Deflation-Corrected Estimators of Reliability
1Finnish National Education Evaluation Centre (FINEEC), Helsinki, Finland.
Frontiers in Psychology
|January 24, 2022
Summary
This study introduces deflation-corrected estimators of reliability (DCER) to address underestimation caused by measurement error in correlation. DCERs use alternative correlation estimators to improve reliability estimates in psychometrics and related fields.
Area of Science:
- Psychometrics
- Statistical Modeling
- Educational Measurement
Background:
- Traditional reliability estimators often underestimate true reliability.
- This underestimation stems from measurement error in correlation coefficients (MEC), particularly product-moment correlation (PMC).
- Factors like item difficulty and scale discrepancies exacerbate this deflation in reliability estimates.
Purpose of the Study:
- To propose a method for correcting the deflation in reliability estimates.
- To introduce deflation-corrected estimators of reliability (DCER) as a solution.
- To evaluate the performance of these new estimators.
Main Methods:
- Replacing standard correlation coefficients (item-score correlation, factor loading) in reliability formulas with less deflated alternatives.
- Utilizing alternative correlation estimators such as polychoric correlation, Goodman-Kruskal gamma, and Somers delta.
- Investigating the behavior of these proposed DCERs.
Main Results:
- The proposed DCERs offer a practical approach to mitigate reliability underestimation.
- Alternative correlation estimators demonstrate reduced deflation compared to PMC.
- The study provides a framework for developing more accurate reliability measures.
Conclusions:
- DCERs represent a significant advancement in accurately estimating reliability.
- The findings have implications for improving the quality of measurement in various research domains.
- Further research can explore a wider range of DCERs and their applications.
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