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IRT Characteristic Curve Linking Methods Weighted by Information for Mixed-Format Tests
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Shaojie Wang; Won-Chan Lee; Minqiang Zhang; Lixin Yuan – Applied Measurement in Education, 2024
To reduce the impact of parameter estimation errors on IRT linking results, recent work introduced two information-weighted characteristic curve methods for dichotomous items. These two methods showed outstanding performance in both simulation and pseudo-form pseudo-group analysis. The current study expands upon the concept of information…
Descriptors: Item Response Theory, Test Format, Test Length, Error of Measurement
Effects of Using Double Ratings as Item Scores on IRT Proficiency Estimation
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Song, Yoon Ah; Lee, Won-Chan – Applied Measurement in Education, 2022
This article presents the performance of item response theory (IRT) models when double ratings are used as item scores over single ratings when rater effects are present. Study 1 examined the influence of the number of ratings on the accuracy of proficiency estimation in the generalized partial credit model (GPCM). Study 2 compared the accuracy of…
Descriptors: Item Response Theory, Item Analysis, Scores, Accuracy
Asymptotic Standard Errors of Equating Coefficients Using the Characteristic Curve Methods for the Graded Response Model
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Zhang, Zhonghua – Applied Measurement in Education, 2020
The characteristic curve methods have been applied to estimate the equating coefficients in test equating under the graded response model (GRM). However, the approaches for obtaining the standard errors for the estimates of these coefficients have not been developed and examined. In this study, the delta method was applied to derive the…
Descriptors: Error of Measurement, Computation, Equated Scores, True Scores
Impact of Item Parameter Drift on Rasch Scale Stability in Small Samples over Multiple Administrations
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Kopp, Jason P.; Jones, Andrew T. – Applied Measurement in Education, 2020
Traditional psychometric guidelines suggest that at least several hundred respondents are needed to obtain accurate parameter estimates under the Rasch model. However, recent research indicates that Rasch equating results in accurate parameter estimates with sample sizes as small as 25. Item parameter drift under the Rasch model has been…
Descriptors: Item Response Theory, Psychometrics, Sample Size, Sampling
A Comparison of Estimation Techniques for IRT Models with Small Samples
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Finch, Holmes; French, Brian F. – Applied Measurement in Education, 2019
The usefulness of item response theory (IRT) models depends, in large part, on the accuracy of item and person parameter estimates. For the standard 3 parameter logistic model, for example, these parameters include the item parameters of difficulty, discrimination, and pseudo-chance, as well as the person ability parameter. Several factors impact…
Descriptors: Item Response Theory, Accuracy, Test Items, Difficulty Level
Standard Errors for National Trends in International Large-Scale Assessments in the Case of Cross-National Differential Item Functioning
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Sachse, Karoline A.; Haag, Nicole – Applied Measurement in Education, 2017
Standard errors computed according to the operational practices of international large-scale assessment studies such as the Programme for International Student Assessment's (PISA) or the Trends in International Mathematics and Science Study (TIMSS) may be biased when cross-national differential item functioning (DIF) and item parameter drift are…
Descriptors: Error of Measurement, Test Bias, International Assessment, Computation