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Standard Errors of a Chain of Linear Equatings.
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Zeng, Lingjia; And Others – Applied Psychological Measurement, 1994
A general delta method is described for computing the standard error (SE) of a chain of linear equations. The general delta method derives the SEs directly from the moments of the score distributions obtained in the equating chain. Computer simulations demonstrate the method. (SLD)
Descriptors: Computer Simulation, Equated Scores, Error of Measurement, Statistical Distributions
Performance Assessments with Microworlds and Their Difficulty
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Kluge, Annette – Applied Psychological Measurement, 2008
The use of microworlds (MWs), or complex dynamic systems, in educational testing and personnel selection is hampered by systematic measurement errors because these new and innovative item formats are not adequately controlled for their difficulty. This empirical study introduces a way to operationalize an MW's difficulty and demonstrates the…
Descriptors: Personnel Selection, Self Efficacy, Educational Testing, Computer Uses in Education
A Numerical Approach for Computing Standard Errors of Linear Equating.
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Zeng, Lingjia – Applied Psychological Measurement, 1993
A numerical approach for computing standard errors (SEs) of a linear equating is described in which first partial derivatives of equating functions needed to compute SEs are derived numerically. Numerical and analytical approaches are compared using the Tucker equating method. SEs derived numerically are found indistinguishable from SEs derived…
Descriptors: Comparative Analysis, Computer Simulation, Equated Scores, Equations (Mathematics)
Standard Errors of Correlations Adjusted for Incidental Selection.
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Allen, Nancy L.; Dunbar, Stephen B. – Applied Psychological Measurement, 1990
The standard error (SE) of correlations adjusted for selection with commonly used formulas was investigated. The study provides large-sample approximations of SE using the Pearson-Lawley three-variable correction formula, examines the SE under specific conditions, and compares various estimates of SEs under direct and indirect selection. (TJH)
Descriptors: Computer Simulation, Correlation, Demography, Error of Measurement
An EM Approach to Parameter Estimation for the Zinnes and Griggs Paired Comparison IRT Model.
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Stark, Stephen; Drasgow, Fritz – Applied Psychological Measurement, 2002
Describes item response and information functions for the Zinnes and Griggs paired comparison item response theory (IRT) model (1974) and presents procedures for estimating stimulus and person parameters. Monte Carlo simulations show that at least 400 ratings are required to obtain reasonably accurate estimates of the stimulus parameters and their…
Descriptors: Comparative Analysis, Computer Simulation, Error of Measurement, Item Response Theory
A Simulation Study of Methods for Assessing Differential Item Functioning in Computerized Adaptive Tests.
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Zwick, Rebecca; And Others – Applied Psychological Measurement, 1994
Simulated data were used to investigate the performance of modified versions of the Mantel-Haenszel method of differential item functioning (DIF) analysis in computerized adaptive tests (CAT). Results indicate that CAT-based DIF procedures perform well and support the use of item response theory-based matching variables in DIF analysis. (SLD)
Descriptors: Adaptive Testing, Computer Assisted Testing, Computer Simulation, Error of Measurement
A Probabilistic IRT Model for Unfolding Preference Data.
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Andrich, David – Applied Psychological Measurement, 1989
A probabilistic item response theory (IRT) model is developed for pair-comparison design in which the unfolding principle governing the choice process uses a discriminant process analogous to Thurstone's Law of Comparative Judgment. A simulation study demonstrates the feasibility of estimation, and two examples illustrate the implications for…
Descriptors: Algorithms, Computer Simulation, Discrimination Learning, Equations (Mathematics)