Test Process Data

Joint Modeling of Ability and Differential Speed Using Responses and Response Times (RR 16-04)

by Jean-Paul Fox, University of Twente, Enschede, the Netherlands

With computerized testing, it is possible to record both the responses of test takers to test questions (i.e., items) and the amount of time spent by a test taker in responding to each question. Various models have been proposed that take into account both test-taker ability and working speed, with many models assuming a constant working speed throughout the test. The constant working speed assumption may be inappropriate for various reasons. For instance, a test taker may need to adjust their pace due to time mismanagement, or a test taker who started out working too fast may reduce their working speed to improve their accuracy. A model is proposed here that allows for variable working speed. An illustration of the model using the Amsterdam Chess Test data is provided.

Back to report gallery

Request the full report

Additional reports in this collection

The Bayesian Covariance Structure Model for Testlets...

Standard item response theory (IRT) models have been extended with testlet effects to account for the nesting of items; these are well known as (Bayesian) testlet models or random effect models for testlets. The testlet modeling framework has several disadvantages. A sufficient number of testlet items are needed to estimate testlet effects, and a sufficient number of individuals are needed to estimate testlet variance. The prior for the testlet variance parameter can only represent a positive association among testlet items.

Read More

Modeling Multilevel Dependence Structures for Responses...

Bayesian covariance structure modeling (BCSM) offers a flexible approach to modeling complex interdependences that arise when gathering test-taker data through computerized testing. In addition to the scored responses, process data such as response times or action patterns are obtained. Data from different sources may be cross-correlated; furthermore, within each data source, blocks of correlated observations may form testlet structures. In previous reports, BCSM was limited to the assumption that all test takers are part of the same group.

Read More