An evaluation of the Vincentizing method of forming group-level response time distributions.
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.
15 references, click to expand
-
Aging and recognition memory: changes in regional cerebral blood flow associated with components of reaction time distributions.J Cogn Neurosci. 1999 Sep;11(5):511-20 PMID: 10511640
-
Stroop performance in healthy younger and older adults and in individuals with dementia of the Alzheimer's type.J Exp Psychol Hum Percept Perform. 1996 Apr;22(2):461-79 PMID: 8934854
-
The ex-Wald distribution as a descriptive model of response times.Behav Res Methods Instrum Comput. 2001 Nov;33(4):457-69 PMID: 11816448
-
Assessing the roles of change discrimination and luminance integration: evidence for a hybrid race model of perceptual decision making in luminance discrimination.J Exp Psychol Hum Percept Perform. 2000 Feb;26(1):359-78 PMID: 10696623
-
Shapes of reaction-time distributions and shapes of learning curves: a test of the instance theory of automaticity.J Exp Psychol Learn Mem Cogn. 1992 Sep;18(5):883-914 PMID: 1402715
-
Decomposing the problem-size effect: a comparison of response time distributions across cultures.Mem Cognit. 2002 Oct;30(7):1160-7 PMID: 12507380
-
How to fit a response time distribution.Psychon Bull Rev. 2000 Sep;7(3):424-65 PMID: 11082851
-
INFERRED COMPONENTS OF REACTION TIMES AS FUNCTIONS OF FOREPERIOD DURATION.J Exp Psychol. 1965 Apr;69:382-6 PMID: 14286308
-
Word frequency, repetition, and lexicality effects in word recognition tasks: beyond measures of central tendency.J Exp Psychol Gen. 1999 Mar;128(1):32-55 PMID: 10100390
-
Group reaction time distributions and an analysis of distribution statistics.Psychol Bull. 1979 May;86(3):446-61 PMID: 451109
-
A diffusion model account of masking in two-choice letter identification.J Exp Psychol Hum Percept Perform. 2000 Feb;26(1):127-40 PMID: 10696609
-
Quantile maximum likelihood estimation of response time distributions.Psychon Bull Rev. 2002 Jun;9(2):394-401 PMID: 12120806
-
A comment on Heathcote, Brown, and Mewhort's QMLE method for response time distributions.Psychon Bull Rev. 2004 Jun;11(3):574-6; discussion 577-8 PMID: 15376813
-
Distinguishing common and task-specific processes in word identification: a matter of some moment?J Exp Psychol Learn Mem Cogn. 2001 Mar;27(2):514-44 PMID: 11294447
-
A framework for ML estimation of parameters of (mixtures of) common reaction time distributions given optional truncation or censoring.Behav Res Methods Instrum Comput. 2002 Aug;34(3):304-23 PMID: 12395546
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