Showing 1 - 10 of 18
Multidimensional Item Response Theory (MIRT) has been proposed as a means to model the relation between examinee abilities and test responses. Three recent articles proved that when MIRT is used in ability estimation, an examinee’s score could theoretically decrease due to a correct...
Persistent link: https://www.econbiz.de/10011138720
Second-order item response theory models have been used for assessments consisting of several domains, such as content areas. We extend the second-order model to a third-order model for assessments that include subdomains nested in domains. Using a graphical model framework, it is shown how the...
Persistent link: https://www.econbiz.de/10010894047
Survey items with multiple response categories and multiple-choice test questions are ubiquitous in psychological and educational research. We illustrate the use of log-multiplicative association (LMA) models that are extensions of the well-known multinomial logistic regression model for...
Persistent link: https://www.econbiz.de/10011138716
In this article, the change in examinee effort during an assessment, which we will refer to as persistence, is modeled as an effect of item position. A multilevel extension is proposed to analyze hierarchically structured data and decompose the individual differences in persistence. Data from...
Persistent link: https://www.econbiz.de/10011099954
If standard two-parameter item response functions are employed in the analysis of a test with some newly constructed items, it can be expected that, for some items, the item response function (IRF) will not fit the data well. This lack of fit can also occur when standard IRFs are fitted to...
Persistent link: https://www.econbiz.de/10011127533
The purpose of this note is to study the equivalence of observed and expected (Fisher) information functions with polytomous item response theory (IRT) models. It is established that observed and expected information functions are equivalent for the class of divide-by-total models (including...
Persistent link: https://www.econbiz.de/10011127534
If data exhibit multidimensionality, key conditional independence assumptions of unidimensional models do not hold. The current work pursues posterior predictive model checking (PPMC) as a tool for criticizing models due to unaccounted for dimensions in data structures that follow conjunctive...
Persistent link: https://www.econbiz.de/10010775987
In the human sciences, ability tests or psychological inventories are often repeatedly conducted to measure growth. Standard item response models do not take into account possible autocorrelation in longitudinal data. In this study, the authors propose an item response model to account for...
Persistent link: https://www.econbiz.de/10010775997
Patz and Junker (1999) describe a general Markov chain Monte Carlo (MCMC) strategy, based on Metropolis-Hastings sampling, for Bayesian inference in complex item response theory (IRT) settings. They demonstrate the basic methodology using the two-parameter logistic (2PL) model. In this paper we...
Persistent link: https://www.econbiz.de/10010775999
This paper demonstrates Markov chain Monte Carlo (MCMC) techniques that are particularly well-suited to complex models with item response theory (IRT) assumptions. MCMC may be thought of as a successor to the standard practice of first calibrating the items using E-M methods and then taking the...
Persistent link: https://www.econbiz.de/10010776002