Related Experiment Video
Updated: Apr 11, 2026

A Two-interval Forced-choice Task for Multisensory Comparisons
Published on: November 9, 2018
A test for conditional independence between response time and accuracy
Maria Bolsinova1,2, Gunter Maris2,3
1Department of Methods and Statistics, Utrecht University, The Netherlands.
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.
Related Concept Videos
Introduction to Test of Independence
The test statistic for a test of independence is similar to that of a goodness-of-fit test:
Accuracy and Errors in Hypothesis Testing
In hypothesis testing, the probability of making a Type I error, denoted as α, is commonly set at 0.05. This significance level indicates a 5%...
Accuracy and Precision
Accuracy and Precision
Determination of Expected Frequency
Testing a Claim about Standard Deviation
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...

