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Monroe, Scott; Cai, Li – National Center for Research on Evaluation, Standards, and Student Testing (CRESST), 2013
In Ramsay curve item response theory (RC-IRT, Woods & Thissen, 2006) modeling, the shape of the latent trait distribution is estimated simultaneously with the item parameters. In its original implementation, RC-IRT is estimated via Bock and Aitkin's (1981) EM algorithm, which yields maximum marginal likelihood estimates. This method, however,…
Descriptors: Item Response Theory, Maximum Likelihood Statistics, Statistical Inference, Models
Peer reviewed Peer reviewed
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DeSarbo, Wayne S.; Park, Joonwook; Scott, Crystal J. – Psychometrika, 2008
A cyclical conditional maximum likelihood estimation procedure is developed for the multidimensional unfolding of two- or three-way dominance data (e.g., preference, choice, consideration) measured on ordered successive category rating scales. The technical description of the proposed model and estimation procedure are discussed, as well as the…
Descriptors: Monte Carlo Methods, Rating Scales, Computation, Multidimensional Scaling
Peer reviewed Peer reviewed
Kim, Chulwan; Rangaswamy, Arvind; DeSarbo, Wayne S. – Multivariate Behavioral Research, 1999
Presents an approach to multidimensional unfolding that reduces the occurrence of degenerate solutions and conducts a Monte Carlo study to demonstrate the superiority of the new method to the ALSCAL and KYST nonmetric procedures for student preference data. (SLD)
Descriptors: Monte Carlo Methods, Multidimensional Scaling, Problem Solving, Simulation
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Spence, Ian; Lewandowsky, Stephan – Psychometrika, 1989
A method for multidimensional scaling that is highly resistant to the effects of outliers is described. Some Monte Carlo simulations illustrate the efficacy of the procedure, which performs well with or without outliers. (SLD)
Descriptors: Estimation (Mathematics), Mathematical Models, Monte Carlo Methods, Multidimensional Scaling
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Storms, Gert – Psychometrika, 1995
A Monte Carlo study was conducted to investigate the robustness of the assumed error distribution in maximum likelihood estimation models for multidimensional scaling. Results show that violations of the assumed error distribution have virtually no effect on the estimated distance parameters. (SLD)
Descriptors: Error of Measurement, Estimation (Mathematics), Maximum Likelihood Statistics, Monte Carlo Methods
Weiss, David J.; Suhadolnik, Debra – 1982
The present monte carlo simulation study was designed to examine the effects of multidimensionality during the administration of computerized adaptive testing (CAT). It was assumed that multidimensionality existed in the individuals to whom test items were being administered, i.e., that the correct or incorrect responses given by an individual…
Descriptors: Adaptive Testing, Computer Assisted Testing, Factor Structure, Latent Trait Theory
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Wang, Wen-Chung; Wilson, Mark; Shih, Ching-Lin – Journal of Educational Measurement, 2006
This study presents the random-effects rating scale model (RE-RSM) which takes into account randomness in the thresholds over persons by treating them as random-effects and adding a random variable for each threshold in the rating scale model (RSM) (Andrich, 1978). The RE-RSM turns out to be a special case of the multidimensional random…
Descriptors: Item Analysis, Rating Scales, Item Response Theory, Monte Carlo Methods
Jones, Patricia B.; And Others – 1987
In order to determine the effectiveness of multidimensional scaling (MDS) in recovering the dimensionality of a set of dichotomously-scored items, data were simulated in one, two, and three dimensions for a variety of correlations with the underlying latent trait. Similarity matrices were constructed from these data using three margin-sensitive…
Descriptors: Cluster Analysis, Correlation, Difficulty Level, Error of Measurement