A Bayesian Item Response Model for Examining Item Position Effects in Complex Survey Data

Matthias Trendtel and Alexander Robitzsch
Additional contact information
Matthias Trendtel: Center for Research on Education and School Development, 153667TU Dortmund University, Germany
Alexander Robitzsch: IPN - 28393Leibniz Institute for Science and Mathematics Education, Kiel, Germany

Journal of Educational and Behavioral Statistics, 2021, vol. 46, issue 1, 34-57

Abstract: A multidimensional Bayesian item response model is proposed for modeling item position effects. The first dimension corresponds to the ability that is to be measured; the second dimension represents a factor that allows for individual differences in item position effects called persistence. This model allows for nonlinear item position effects on the item side as well as on the person side. Moreover, a flexible loading structure on the two dimensions is allowed. A fully Bayesian estimation procedure is proposed, and its performance is investigated by a simulation study. Further, the model is applied to empirical data collected in the Programme for International Student Assessment 2000 in the reading domain. The additional value of the model’s extended flexibility compared to more restrictive models is shown. The findings show that the linear hypothesis of change in performance during a test does not hold in general.

Keywords: Bayesian IRT; MCMC estimation; complex survey data; multidimensional IRT; item position effects (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://journals.sagepub.com/doi/10.3102/1076998620931016 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:46:y:2021:i:1:p:34-57

DOI: 10.3102/1076998620931016

Access Statistics for this article

More articles in Journal of Educational and Behavioral Statistics
Bibliographic data for series maintained by SAGE Publications ().