A test for conditional independence between response time and accuracy. (8th June 2015)

• Record Type: Journal Article
• Authors: Bolsinova, Maria; Maris, Gunter
• Is Part Of: British journal of mathematical & statistical psychology. Volume 69:Part 1(2016:Feb.)
• Page Start: 62
• Page End: 79
• Publication Date: 2015-06-08
• Subjects: conditional independence -- item response theory -- Kolmogorov–Smirnov tests -- response times -- sufficiency; Psychometrics -- Periodicals; Psychology -- Mathematical models -- Periodicals; Psychology -- Statistical methods -- Periodicals; 150.727
• DOI: 10.1111/bmsp.12059
• Languages: English
• ISSNs: 0007-1102

Abstract

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.