ArticleThe British journal of mathematical and statistical psychology2017
A heteroscedastic generalized linear model with a non-normal speed factor for responses and response times.
Article in The British journal of mathematical and statistical psychology, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- A Quadratic Bifactor Hierarchical Model for Jointly Modelling the Nonlinear Relationship Between Response Accuracy and Response Time in Cognitive Testing.Journal of Intelligence · 2026Article
- Evaluation of the Impact of Catheter Ablation Procedure on Outcomes and Economic Burden in Patients with Atrial Fibrillation: Real-World Data from Italian Administrative Databases.Healthcare (Basel, Switzerland) · 2022Article
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Abstract
In generalized linear modelling of responses and response times, the observed response time variables are commonly transformed to make their distribution approximately normal. A normal distribution for the transformed response times is desirable as it justifies the linearity and homoscedasticity assumptions in the underlying linear model. Past research has, however, shown that the transformed response times are not always normal. Models have been developed to accommodate this violation. In the present study, we propose a modelling approach for responses and response times to test and model non-normality in the transformed response times. Most importantly, we distinguish between non-normality due to heteroscedastic residual variances, and non-normality due to a skewed speed factor. In a simulation study, we establish parameter recovery and the power to separate both effects. In addition, we apply the model to a real data set.
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