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Consistent Differential Discrimination Model Estimation
Dirk Lubbe1, Christof Schuster1
1a Department of Psychology , Justus-Liebig-University Giessen.
A new method for analyzing scale use, the differential discrimination model, has an inconsistent estimation procedure. This study demonstrates how to use structural equation modeling (SEM) for consistent parameter estimation.
Area of Science:
- Psychometrics
- Quantitative Psychology
Background:
- A novel factor-analytic model, the differential discrimination model, was recently introduced to assess individual differences in scale use.
- The associated three-stage estimation approach has been found to have inconsistent second and third-stage estimators.
Purpose of the Study:
- To address the inconsistency issues in the differential discrimination model's estimation.
- To demonstrate a consistent and simultaneous estimation method for all model parameters.
Main Methods:
- Expressing the differential discrimination model within a structural equation model (SEM) framework.
- Utilizing standard SEM software for parameter estimation.
Main Results:
- The differential discrimination model can be effectively represented as a structural equation model.
- Consistent and simultaneous estimation of all model parameters is achievable using this SEM framework.
Conclusions:
- The proposed SEM approach provides a statistically sound and consistent method for estimating parameters in the differential discrimination model.
- This facilitates more reliable assessment of individual differences in scale use.
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