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The Effects of Aberrant Responding on Model-Fit Assuming Different Underlying Response Processes
Jennifer Reimers1, Ronna C Turner1, Jorge N Tendeiro2
1Educational Statistics and Research Methods, University of Arkansas, Fayetteville, AR, USA.
Aberrant responding significantly impacts psychometric models. Ideal point models (like GGUM) may fit cumulative data better than cumulative models (like GPCM) fit ideal point data.
Area of Science:
- Psychometrics
- Statistical Modeling
- Educational Measurement
Background:
- Aberrant responding (e.g., random or patterned answers) can distort scale psychometric properties.
- Model misfit in statistical analyses can arise from data misspecification or aberrant response patterns.
Purpose of the Study:
- To compare the effects of four aberrant responding types on model fit.
- To evaluate these effects within both cumulative and ideal point model contexts.
- To examine model fit using graded partial credit (GPCM) and generalized graded unfolding (GGUM) models.
Main Methods:
- Simulated data with varying levels of four aberrant response types.
- Analysis using cumulative (GPCM) and ideal point (GGUM) models.
- Assessment of model fit using information criteria (AIC, BIC) and dimensionality.
Main Results:
- Aberrant data severely impacts model fit for both cumulative and ideal point data.
- Longstring responses most strongly affect dimensionality in both data types.
- Random responding most negatively impacts model fit based on information criteria.
Conclusions:
- Ideal point models (GGUM) may offer superior fit for cumulative data compared to GPCM.
- Cumulative models (GPCM) may inadequately fit ideal point data.
- Understanding aberrant responding is crucial for accurate psychometric analysis.
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