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Pretest Item Calibration in Computerized Multistage Adaptive Testing
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Ersen, Rabia Karatoprak; Lee, Won-Chan – Journal of Educational Measurement, 2023
The purpose of this study was to compare calibration and linking methods for placing pretest item parameter estimates on the item pool scale in a 1-3 computerized multistage adaptive testing design in terms of item parameter recovery. Two models were used: embedded-section, in which pretest items were administered within a separate module, and…
Descriptors: Pretesting, Test Items, Computer Assisted Testing, Adaptive Testing
IRT-Estimated Reliability for Tests Containing Mixed Item Formats
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Shu, Lianghua; Schwarz, Richard D. – Journal of Educational Measurement, 2014
As a global measure of precision, item response theory (IRT) estimated reliability is derived for four coefficients (Cronbach's a, Feldt-Raju, stratified a, and marginal reliability). Models with different underlying assumptions concerning test-part similarity are discussed. A detailed computational example is presented for the targeted…
Descriptors: Item Response Theory, Reliability, Models, Computation
Generalization of the Lord-Wingersky Algorithm to Computing the Distribution of Summed Test Scores Based on Real-Number Item Scores
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Kim, Seonghoon – Journal of Educational Measurement, 2013
With known item response theory (IRT) item parameters, Lord and Wingersky provided a recursive algorithm for computing the conditional frequency distribution of number-correct test scores, given proficiency. This article presents a generalized algorithm for computing the conditional distribution of summed test scores involving real-number item…
Descriptors: Item Response Theory, Scores, Computation, Mathematics
Situations Where It Is Appropriate to Use Frequency Estimation Equipercentile Equating
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Guo, Hongwen; Oh, Hyeonjoo J.; Eignor, Daniel – Journal of Educational Measurement, 2013
In operational equating situations, frequency estimation equipercentile equating is considered only when the old and new groups have similar abilities. The frequency estimation assumptions are investigated in this study under various situations from both the levels of theoretical interest and practical use. It shows that frequency estimation…
Descriptors: Equated Scores, Computation, Statistical Analysis, Test Items
Local Equating Using the Rasch Model, the OPLM, and the 2PL IRT Model--or--What Is It Anyway if the Model Captures Everything There Is to Know about the Test Takers?
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von Davier, Matthias; González B., Jorge; von Davier, Alina A. – Journal of Educational Measurement, 2013
Local equating (LE) is based on Lord's criterion of equity. It defines a family of true transformations that aim at the ideal of equitable equating. van der Linden (this issue) offers a detailed discussion of common issues in observed-score equating relative to this local approach. By assuming an underlying item response theory model, one of…
Descriptors: Equated Scores, Transformations (Mathematics), Item Response Theory, Raw Scores
Selection Strategies for Univariate Loglinear Smoothing Models and Their Effect on Equating Function Accuracy
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Moses, Tim; Holland, Paul W. – Journal of Educational Measurement, 2009
In this study, we compared 12 statistical strategies proposed for selecting loglinear models for smoothing univariate test score distributions and for enhancing the stability of equipercentile equating functions. The major focus was on evaluating the effects of the selection strategies on equating function accuracy. Selection strategies' influence…
Descriptors: Equated Scores, Selection, Statistical Analysis, Models