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Extension of caution indices to mixed-format tests
1Educational Testing Service, Princeton, New Jersey, USA.
The British Journal of Mathematical and Statistical Psychology
|January 10, 2018
Summary
This study extends caution indices for person-fit statistics to polytomous and mixed-format tests. New statistics show promise for accurately assessing person fit in these complex testing scenarios.
Area of Science:
- Psychometrics
- Educational Measurement
- Statistical Modeling
Background:
- Extended caution indices are established person-fit statistics but are limited to dichotomous items.
- Assessing person fit is crucial for test validity and detecting response styles.
- There is a need for person-fit statistics applicable to polytomous and mixed-format tests.
Purpose of the Study:
- To extend existing standardized extended caution indices for polytomous and mixed-format tests.
- To develop novel person-fit statistics using asymptotic standardization for mixed-format tests.
- To evaluate the performance of the newly developed person-fit statistics.
Main Methods:
- Extension of two standardized extended caution indices to polytomous and mixed-format data.
- Application of asymptotic standardization to derive new person-fit statistics for mixed-format tests.
- Monte Carlo simulations to assess Type I error rates and statistical power.
Main Results:
- Four new person-fit statistics were developed and evaluated.
- Simulations indicated satisfactory performance of the new statistics in terms of Type I error and power.
- Real data illustrations demonstrated the practical utility of the proposed statistics.
Conclusions:
- The newly developed person-fit statistics are effective tools for assessing person fit with polytomous items and mixed-format tests.
- These statistics address a critical gap in current person-fit assessment methodologies.
- The findings support the broader application of person-fit analysis in educational and psychological measurement.
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