A test for conditional independence between response time and accuracy

Maria Bolsinova; Gunter Maris

doi:10.1111/bmsp.12059

A test for conditional independence between response time and accuracy

Br J Math Stat Psychol. 2016 Feb;69(1):62-79. doi: 10.1111/bmsp.12059. Epub 2015 Jun 8.

Authors

Maria Bolsinova^{1

2}, Gunter Maris^{2

3}

Affiliations

¹ Department of Methods and Statistics, Utrecht University, The Netherlands.
² Cito Institute for Educational Measurement, Arnhem, The Netherlands.
³ University of Amsterdam, The Netherlands.

PMID: 26059168
DOI: 10.1111/bmsp.12059

Abstract

An important distinction between different models for response time and accuracy is whether conditional independence (CI) between response time and accuracy is assumed. In the present study, a test for CI given an exponential family model for accuracy (for example, the Rasch model or the one-parameter logistic model) is proposed and evaluated in a simulation study. The procedure is based on the non-parametric Kolmogorov-Smirnov tests. As an illustrative example, the CI test was applied to data from an arithmetics test for secondary education.

Keywords: Kolmogorov-Smirnov tests; conditional independence; item response theory; response times; sufficiency.