Analysing standard progressive matrices (SPM-LS) with Bayesian item response models

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2020-03-01
Major/Subject
Mcode
Degree programme
Language
en
Pages
18
Series
Journal of Intelligence, Volume 8, issue 1
Abstract
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 a three-parameter logistic (3PL) model is sufficient to describe participants dichotomous responses (correct vs. incorrect) while persons’ ability parameters are quite robust across IRT models of varying complexity. These conclusions are in line with the original results of Myszkowski and Storme (2018). Using Bayesian as opposed to frequentist IRT models offered advantages in the estimation of more complex (i.e., 3–4PL) IRT models and provided more sensible and robust uncertainty estimates.
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Keywords
Bayesian statistics, Brms, Item Response Theory, R, Stan, Standard Progressive Matrices
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Citation
Bürkner , P C 2020 , ' Analysing standard progressive matrices (SPM-LS) with Bayesian item response models ' , Journal of Intelligence , vol. 8 , no. 1 , 5 . https://doi.org/10.3390/jintelligence8010005