Personal academic webpage Konrad Klotzke
Marginal Joint-Modelling of Response Accuracy and Response Times
Current approaches in psychometrics to integrate response accuracy (RA) and response times (RTs) in a single joint-model are limited by assuming a fixed correlation between a test-taker’s ability and working speed across the whole test. In a new marginal joint-model, the latent ability and speed parameters are integrated out. An explicitly modelled covariance structure is introduced to explain the correlation between a test-taker’s RA, RTs and the cross-correlation between RA and RTs. The cross-correlation between RA and RTs may change over the course of the test, thus allowing to model a variable speed-accuracy trade-off. The joint-model’s covariance structure is extended to allow multidimensionality in the relationship between RA, respectively RTs. Groups of test-takers can be nested in clusters and covariates measured at different hierarchical levels of the model can be included. Parameter estimation is compared to existing means for joint-modelling of RA and RTs. Hypotheses about the (cross-) covariance parameters and the mean structure can be evaluated with Bayes factor testing. For Bayesian model selection, performance of the Bayes factors is compared to the Bayesian information criterion (BIC). Educational data is utilized to demonstrate how speededness, change in ability and multidimensionality can be investigated in the marginal modelling framework.
Dr. Ir. J.P. Fox
University of Twente
July 2017 – July 2020