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Analysing Standard Progressive Matrices (SPM-LS) with Bayesian Item Response Models
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Bürkner, Paul-Christian – Journal of Intelligence, 2020
Raven's Standard Progressive Matrices (SPM) test and related matrix-based tests are widely applied measures of cognitive ability. Using Bayesian Item Response Theory (IRT) models, I reanalyzed data of an SPM short form proposed by Myszkowski and Storme (2018) and, at the same time, illustrate the application of these models. Results indicate that…
Descriptors: Intelligence Tests, Matrices, Bayesian Statistics, Item Response Theory
Incorporating the Q-Matrix into Multidimensional Item Response Theory Models
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da Silva, Marcelo A.; Liu, Ren; Huggins-Manley, Anne C.; Bazán, Jorge L. – Educational and Psychological Measurement, 2019
Multidimensional item response theory (MIRT) models use data from individual item responses to estimate multiple latent traits of interest, making them useful in educational and psychological measurement, among other areas. When MIRT models are applied in practice, it is not uncommon to see that some items are designed to measure all latent traits…
Descriptors: Item Response Theory, Matrices, Models, Bayesian Statistics
Grain Size and Parameter Recovery with TIMSS and the General Diagnostic Model
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Skaggs, Gary; Wilkins, Jesse L. M.; Hein, Serge F. – International Journal of Testing, 2016
The purpose of this study was to explore the degree of grain size of the attributes and the sample sizes that can support accurate parameter recovery with the General Diagnostic Model (GDM) for a large-scale international assessment. In this resampling study, bootstrap samples were obtained from the 2003 Grade 8 TIMSS in Mathematics at varying…
Descriptors: Achievement Tests, Foreign Countries, Elementary Secondary Education, Science Achievement
Covariates of the Rating Process in Hierarchical Models for Multiple Ratings of Test Items
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Mariano, Louis T.; Junker, Brian W. – Journal of Educational and Behavioral Statistics, 2007
When constructed response test items are scored by more than one rater, the repeated ratings allow for the consideration of individual rater bias and variability in estimating student proficiency. Several hierarchical models based on item response theory have been introduced to model such effects. In this article, the authors demonstrate how these…
Descriptors: Test Items, Item Response Theory, Rating Scales, Scoring
The Fusion Model for Skills Diagnosis: Blending Theory with Practicality. Research Report. ETS RR-08-71
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Hartz, Sarah; Roussos, Louis – ETS Research Report Series, 2008
This paper presents the development of the fusion model skills diagnosis system (fusion model system), which can help integrate standardized testing into the learning process with both skills-level examinee parameters for modeling examinee skill mastery and skills-level item parameters, giving information about the diagnostic power of the test.…
Descriptors: Skill Development, Educational Diagnosis, Theory Practice Relationship, Standardized Tests
A Factor Analytic Item Response Theory Approach for Relating Item Content to Test Scores.
Abdel-fattah, Abdel-fattah A. – 1992
A scaling procedure is proposed, based on item response theory (IRT), to fit non-hierarchical test structure as well. The binary scores of a test of English were used for calculating the probabilities of answering each item correctly. The probability matrix was factor analyzed, and the difficulty intervals or estimates corresponding to the factors…
Descriptors: Bayesian Statistics, Difficulty Level, English, Estimation (Mathematics)