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Hwang, Chi-en; Cleary, T. Anne – 1986
The results obtained from two basic types of pre-equatings of tests were compared: the item response theory (IRT) pre-equating and section pre-equating (SPE). The simulated data were generated from a modified three-parameter logistic model with a constant guessing parameter. Responses of two replication samples of 3000 examinees on two 72-item…
Descriptors: Computer Simulation, Equated Scores, Latent Trait Theory, Mathematical Models
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Jarjoura, David; Kolen, Michael J. – Journal of Educational Statistics, 1985
An equating design in which two groups of examinees from slightly different populations are administered a different test form with a subset of common items is widely used. This paper presents standard errors and a simulation that verifies the equation for large samples for an equipercentile equating procedure for this design. (Author/BS)
Descriptors: Computer Simulation, Equated Scores, Error of Measurement, Estimation (Mathematics)
Tang, K. Linda; And Others – 1993
This study compared the performance of the LOGIST and BILOG computer programs on item response theory (IRT) based scaling and equating for the Test of English as a Foreign Language (TOEFL) using real and simulated data and two calibration structures. Applications of IRT for the TOEFL program are based on the three-parameter logistic (3PL) model.…
Descriptors: Comparative Analysis, Computer Simulation, Equated Scores, Estimation (Mathematics)
Zeng, Lingjia – 1991
Large sample standard errors of linear equating for the single-group design are derived without making the normality assumption. Two general methods based on the delta method of M. Kendall and A. Stuart (1977) are described. One method uses the exact partial derivatives, and the other uses numerical derivatives. Simulation using the beta-binomial…
Descriptors: Comparative Analysis, Computer Simulation, Equated Scores, Equations (Mathematics)
Cohen, Allan S.; Kim, Seock-Ho – 1993
Equating tests from different calibrations under item response theory (IRT) requires calculation of the slope and intercept of the appropriate linear transformation. Two methods have been proposed recently for equating graded response items under IRT, a test characteristic curve method and a minimum chi-square method. These two methods are…
Descriptors: Chi Square, Comparative Analysis, Computer Simulation, Equated Scores
Du Bose, Pansy; Kromrey, Jeffrey D. – 1993
Empirical evidence is presented of the relative efficiency of two potential linkage plans to be used when equivalent test forms are being administered. Equating is a process by which scores on one form of a test are converted to scores on another form of the same test. A Monte Carlo study was conducted to examine equating stability and statistical…
Descriptors: Art Education, Comparative Testing, Computer Simulation, Equated Scores
Parshall, Cynthia G.; And Others – 1991
A Monte Carlo study was conducted to compare the statistical bias and standard errors of non-equivalent-groups linear test equating in small samples of examinees. One thousand samples of each size (15, 25, 50, and 100) were drawn with replacement from each of five archival data files from elementary school and secondary school teacher subject area…
Descriptors: Computer Simulation, Elementary School Teachers, Elementary Secondary Education, Equated Scores