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Ramon Barrada, Juan; Veldkamp, Bernard P.; Olea, Julio – Applied Psychological Measurement, 2009
Computerized adaptive testing is subject to security problems, as the item bank content remains operative over long periods and administration time is flexible for examinees. Spreading the content of a part of the item bank could lead to an overestimation of the examinees' trait level. The most common way of reducing this risk is to impose a…
Descriptors: Item Banks, Adaptive Testing, Item Analysis, Psychometrics

Wang, Xiaohui; Bradlow, Eric T.; Wainer, Howard – Applied Psychological Measurement, 2002
Proposes a modified version of commonly employed item response models in a fully Bayesian framework and obtains inferences under the model using Markov chain Monte Carlo techniques. Demonstrates use of the model in a series of simulations and with operational data from the North Carolina Test of Computer Skills and the Test of Spoken English…
Descriptors: Bayesian Statistics, Item Response Theory, Markov Processes, Mathematical Models

Sijtsma, Klaas; Meijer, Rob R. – Applied Psychological Measurement, 1992
A method is proposed for investigating the intersection of item response functions in the nonparametric item-response-theory model of R. J. Mokken (1971). Results from a Monte Carlo study support the proposed use of the transposed data matrix H(sup T) as an extension to Mokken's approach. (SLD)
Descriptors: Equations (Mathematics), Item Response Theory, Mathematical Models, Matrices

Thompson, Paul – Applied Psychological Measurement, 1989
Monte Carlo techniques were used to examine regression approaches to external unfolding. The present analysis examined the technique to determine if various characteristics of the points are recovered (such as ideal points). Generally, monotonic analyses resulted in good recovery. (TJH)
Descriptors: Error of Measurement, Estimation (Mathematics), Mathematical Models, Monte Carlo Methods

Fowler, Robert L. – Applied Psychological Measurement, 1992
A Monte Carlo simulation explored how to optimize power in the extreme groups strategy when sampling from nonnormal distributions. Results show that the optimum percent for the extreme group selection was approximately the same for all population shapes, except the extremely platykurtic (uniform) distribution. (SLD)
Descriptors: Construct Validity, Equations (Mathematics), Mathematical Models, Monte Carlo Methods

Noonan, Brian W.; And Others – Applied Psychological Measurement, 1992
Studied the extent to which three appropriateness indexes, Z(sub 3), ECIZ4, and W, are well standardized in a Monte Carlo study. The ECIZ4 most closely approximated a normal distribution, and its skewness and kurtosis were more stable and less affected by test length and item response theory model than the others. (SLD)
Descriptors: Comparative Analysis, Item Response Theory, Mathematical Models, Maximum Likelihood Statistics

Davison, Mark L., Ed.; Jones, Lawrence E., Ed. – Applied Psychological Measurement, 1983
This special issues describes multidimensional scaling (MDS), with emphasis on proximity and preference models. An introduction and six papers review statistical developments in MDS study design and scrutinize MDS research in four areas of application (consumer, social, cognitive, and vocational psychology). (SLD)
Descriptors: Cognitive Psychology, Mathematical Models, Monte Carlo Methods, Multidimensional Scaling

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

Stone, Clement A. – Applied Psychological Measurement, 1992
Monte Carlo methods are used to evaluate marginal maximum likelihood estimation of item parameters and maximum likelihood estimates of theta in the two-parameter logistic model for varying test lengths, sample sizes, and assumed theta distributions. Results with 100 datasets demonstrate the methods' general precision and stability. Exceptions are…
Descriptors: Computer Software Evaluation, Estimation (Mathematics), Mathematical Models, Maximum Likelihood Statistics

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

Reise, Steven P. – Applied Psychological Measurement, 1990
To demonstrate that some methods used to assess item fit can be applied to assess person fit and vice versa, performance of a chi-squared item-fit statistic was compared with that of a likelihood-based person-fit statistic for examinees and items under Monte Carlo conditions. (SLD)
Descriptors: Chi Square, Comparative Analysis, Goodness of Fit, Item Response Theory
Stark, Stephen; Chernyshenko, Oleksandr S.; Drasgow, Fritz – Applied Psychological Measurement, 2005
This article proposes an item response theory (IRT) approach to constructing and scoring multidimensional pairwise preference items. Individual statements are administered and calibrated using a unidimensional single-stimulus model. Tests are created by combining multidimensional items with a small number of unidimensional pairings needed to…
Descriptors: Test Construction, Scoring, Mathematical Models, Item Response Theory

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

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)