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A Monte Carlo Approach for Adaptive Testing with Content Constraints
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Belov, Dmitry I.; Armstrong, Ronald D.; Weissman, Alexander – Applied Psychological Measurement, 2008
This article presents a new algorithm for computerized adaptive testing (CAT) when content constraints are present. The algorithm is based on shadow CAT methodology to meet content constraints but applies Monte Carlo methods and provides the following advantages over shadow CAT: (a) lower maximum item exposure rates, (b) higher utilization of the…
Descriptors: Test Items, Monte Carlo Methods, Law Schools, Adaptive Testing
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
Three Approaches to Determining the Dimensionality of Binary Items.
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Roznowski, Mary; And Others – Applied Psychological Measurement, 1991
Three heuristic methods of assessing the dimensionality of binary item pools were evaluated in a Monte Carlo investigation. The indices were based on (1) the local independence of unidimensional tests; (2) patterns of second-factor loadings derived from simplex theory; and (3) the shape of the curve of successive eigenvalues. (SLD)
Descriptors: Comparative Analysis, Computer Simulation, Correlation, Evaluation Methods
Improving IRT Item Bias Detection with Iterative Linking and Ability Scale Purification.
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Park, Dong-Gun; Lautenschlager, Gary J. – Applied Psychological Measurement, 1990
The effectiveness of two iterative methods of item response theory (IRT) item bias detection was examined in a simulation study. A modified form of the iterative item parameter linking method of F. Drasgow and an adaptation of the test purification procedure of F. M. Lord were compared. (SLD)
Descriptors: Ability Identification, Computer Simulation, Item Bias, Item Response Theory
The Influence of Test Characteristics on the Detection of Aberrant Response Patterns.
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Reise, Steven P.; Due, Allan M. – Applied Psychological Measurement, 1991
Previous person-fit research is extended through explication of an unexplored model for generating aberrant response patterns. The proposed model is then implemented to investigate the influence of test properties on the aberrancy detection power of a person-fit statistic. Difficulties of aberrancy detection are discussed. (SLD)
Descriptors: Algorithms, Computer Simulation, Item Response Theory, Mathematical Models
Sequential Reliability Tests.
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Eiting, Mindert H. – Applied Psychological Measurement, 1991
A method is proposed for sequential evaluation of reliability of psychometric instruments. Sample size is unfixed; a test statistic is computed after each person is sampled and a decision is made in each stage of the sampling process. Results from a series of Monte-Carlo experiments establish the method's efficiency. (SLD)
Descriptors: Computer Simulation, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
An Investigation of the Ordinal True Score Test Theory.
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Donoghue, John R.; Cliff, Norman – Applied Psychological Measurement, 1991
The validity of the assumptions under which the ordinal true score test theory was derived was examined using (1) simulation based on classical test theory; (2) a long empirical test with data from 321 sixth graders; and (3) an extensive simulation with 480 datasets based on the 3-parameter model. (SLD)
Descriptors: Computer Simulation, Elementary Education, Elementary School Students, Equations (Mathematics)