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Li, Tongyun; Jiao, Hong; Macready, George B. – Educational and Psychological Measurement, 2016
The present study investigates different approaches to adding covariates and the impact in fitting mixture item response theory models. Mixture item response theory models serve as an important methodology for tackling several psychometric issues in test development, including the detection of latent differential item functioning. A Monte Carlo…
Descriptors: Item Response Theory, Psychometrics, Test Construction, Monte Carlo Methods

Lord, Frederic M. – Journal of Educational Statistics, 1982
The standard error of an equipercentile equating is derived for four situations. Some numerical results are checked by Monte Carlo methods. Numerical standard errors are computed for two sets of real data. Standard errors of linear and equipercentile equating are compared. (Author)
Descriptors: Equated Scores, Error of Measurement, Monte Carlo Methods, Test Construction
Patience, Wayne M.; Reckase, Mark D. – 1979
An experiment was performed with computer-generated data to investigate some of the operational characteristics of tailored testing as they are related to various provisions of the computer program and item pool. With respect to the computer program, two characteristics were varied: the size of the step of increase or decrease in item difficulty…
Descriptors: Adaptive Testing, Computer Assisted Testing, Difficulty Level, Error of Measurement