PMID: 15376789Sep 21, 2004Paper

An evaluation of the Vincentizing method of forming group-level response time distributions

Psychonomic Bulletin & Review
Jeffrey N Rouder, Paul L Speckman

Abstract

Vincentizing (quantile averaging) is a popular means of pooling response time distributions across individuals to produce a group average. The benefit of Vincentizing is that the resulting histogram "looks like" an average of the individuals. In this article, we competitively test Vincentizing against the more mundane approach of averaging parameter estimates from fits to individuals. We simulate data from three distributions: the ex-Gaussian, the Weibull, and the shifted-Wald. For the ex-Gaussian and the shifted-Wald, parameter averaging outperforms Vincentizing. There is only an advantage of Vincentizing for the Weibull and only when there are few observations per participant. Overall, we recommend that researchers use Vincentizing only in select circumstances and with the knowledge that Vincentized estimates are often inconsistent estimators of averaged parameters.

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Sep 21, 2004·Psychonomic Bulletin & Review·Paul L Speckman, Jeffrey N Rouder

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Citations

May 27, 2006·Psychonomic Bulletin & Review·Scott BrownDane Poboka
Aug 9, 2005·Psychonomic Bulletin & Review·Jeffrey N RouderYi Jiang
Nov 16, 2012·Attention, Perception & Psychophysics·Bryan R Burnham
Jul 5, 2006·Behavior Research Methods·Jeff Miller
Dec 8, 2009·Acta Psychologica·Joachim VandekerckhoveFrancis Tuerlinckx
Oct 21, 2015·Neurotoxicology·Eva ŠovčíkováTomáš Trnovec
Apr 22, 2015·Attention, Perception & Psychophysics·Bryan R BurnhamBridget Hanley
Feb 14, 2015·Attention, Perception & Psychophysics·Yi-Shin LinGlyn W Humphreys
Feb 11, 2015·Frontiers in Psychology·Peter Haffke, Ronald Hübner
Jan 31, 2020·Learning & Behavior·Christina MeierIan P L McLaren
Jun 20, 2019·Attention, Perception & Psychophysics·Jonathan van LeeuwenArtem V Belopolsky
Nov 7, 2020·Attention, Perception & Psychophysics·Michael S Pratte
Jul 31, 2021·Psychonomic Bulletin & Review·Jeff Miller, Wolf Schwarz

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