Bayesian Analysis of a Quantile Multilevel Item Response Theory Model

A multilevel Bayesian item response theory method for scaling

A new method is presented and implemented for deriving a scale of socioeconomic status (SES) from international survey data using a multilevel Bayesian item response theory (IRT) model. The proposed model incorporates both international anchor items and nation-specific items and is able to (a) produce student family SES scores that are internationally comparable, (b) reduce the influence of irr...

A Multilevel Bayesian Item Response Theory Method for Scaling Socioeconomic Status in International Studies of Education

A new method is presented and implemented for deriving a scale of socioeconomic status (SES) from international survey data using a multilevel Bayesian item response theory (IRT) model. The proposed model incorporates both international anchor items and nation-specific items and is able to (a) produce student family SES scores that are internationally comparable, (b) reduce the influence of irr...

Linear Item Response Theory, Nonlinear Item Response Theory, and Factor Analysis: A Unified Framework

What it is now known as item response modeling [for an overview see van der Linden and Hambleton (1997)] originated as an effort to overcome the limitations of the factor model when applied to test items. Test items are most often categorical in nature, whereas the factor model was designed for continuous data. Unfortunately, over the years item response modeling and factor modeling have develo...

A Bayesian Nonparametric Model Fit statistic of Item Response Models

A Bayesian Student Model without Hidden Nodes and its Comparison with Item Response Theory

The Bayesian framework offers a number of techniques for inferring an individual’s knowledge state from evidence of mastery of concepts or skills. A typical application where such a technique can be useful is Computer Adaptive Testing (CAT). A Bayesian modeling scheme, POKS, is proposed and compared to the traditional Item Response Theory (IRT), which has been the prevalent CAT approach for the...