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Tsutakawa, Robert K. – Journal of Educational Statistics, 1984
The EM algorithm is used to derive maximum likelihood estimates for item parameters of the two-parameter logistic item response curves. The observed information matrix is then used to approximate the covariance matrix of these estimates. Simulated data are used to compare the estimated and actual item parameters. (Author/BW)
Descriptors: Computer Simulation, Estimation (Mathematics), Latent Trait Theory, Mathematical Formulas
Peer reviewed Peer reviewed
Harwell, Michael R. – Journal of Educational Statistics, 1992
A methodological framework is provided for quantitatively integrating Type I error rates and power values for Monte Carlo studies. An example is given using Monte Carlo studies of a test of equality of variances, and the importance of relating metanalytic results to exact statistical theory is emphasized. (SLD)
Descriptors: Computer Simulation, Data Interpretation, Mathematical Models, Meta Analysis
Peer reviewed Peer reviewed
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)
Peer reviewed Peer reviewed
Edwards, Lynne K. – Journal of Educational Statistics, 1991
When repeated observations are taken at equal time intervals, a simple form of a stationary time series structure may be fitted to the observations. Use of correction factors is discussed. A computer simulation method is used to investigate power advantages of fitting a serial correlation pattern to repeated observations. (TJH)
Descriptors: Computer Simulation, Error of Measurement, Goodness of Fit, Longitudinal Studies
Peer reviewed Peer reviewed
Boik, Robert J. – Journal of Educational Statistics, 1993
Two issues in analysis of interactions in complex linear models are considered. One is the omnibus test for interaction, and the other concerns follow-up tests when the omnibus test is significant. Reconsidered omnibus and follow-up tests are illustrated on an educational data set analyzed using the Statistical Analysis System. (SLD)
Descriptors: Comparative Analysis, Computer Simulation, Equations (Mathematics), Factor Structure
Peer reviewed Peer reviewed
Nandakumar, Ratna; Stout, William – Journal of Educational Statistics, 1993
A detailed investigation is provided of Stout's statistical procedure (the computer program DIMTEST) for testing the hypothesis that an essentially unidimensional latent trait model fits observed binary item response data from a psychological test. Three refinements achieve greater power. The revised approach is validated using real data sets.…
Descriptors: Computer Simulation, Equations (Mathematics), Hypothesis Testing, Item Response Theory
Peer reviewed Peer reviewed
Harrison, David A. – Journal of Educational Statistics, 1986
Multidimensional item response data were created. The strength of a general factor, the number of common factors, the distribution of items loadingon common factors, and the number of items in simulated tests were manipulated. LOGIST effectively recovered both item and trait parameters in nearly all of the experimental conditions. (Author/JAZ)
Descriptors: Adaptive Testing, Computer Assisted Testing, Computer Simulation, Correlation
Peer reviewed Peer reviewed
Donoghue, John R.; Allen, Nancy L. – Journal of Educational Statistics, 1993
Forming the matching variable for the Mantel-Haenszel differential item functioning (DIF) procedure through use of the total score as the matching variable (thin) and forming the matching variable by pooling total score levels (thick) were compared in a Monte Carlo study. Reasons thick matching is superior are discussed. (SLD)
Descriptors: Comparative Analysis, Computer Simulation, Equations (Mathematics), Graphs