Constructing a Group Distribution From Individual Distributions.
A group distribution is a synthesis of a set of individual distributions. To be adequate, a method for creating group distributions should not introduce characteristics that are not present in the individual distributions and preserve those that are present. A method occasionally used is quantile av...
| Published in: | Canadian Journal of Experimental Psychology / Revue Canadienne de Psychologie Expérimentale Vol. 70; no. 3; pp. 253 - 278 |
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| Main Authors: | , , , |
| Format: | Article |
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Canadian Psychological Association
Sep2016
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| Subjects: | |
| Online Access: | View this record in EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ssf&AN=117408505&site=ehost-live header: @attributes: shortDbName: ssf uiTerm: 117408505 longDbName: Social Sciences Full Text (H.W. Wilson) uiTag: AN controlInfo: bkinfo: jinfo: jid: 11961961 CJX jtl: Canadian Journal of Experimental Psychology / Revue Canadienne de Psychologie Expérimentale issn: 11961961 maglogo: N pubinfo: dt: Sep2016 vid: 70 iid: 3 pid: 98 pub: Canadian Psychological Association artinfo: ui: 117408505 10.1037/cep0000069 ppf: 253 ppct: 25 formats: fmt: @attributes: type: P size: 4.8MB tig: atl: Constructing a Group Distribution From Individual Distributions. aug: au: Cousineau, Denis Thivierge, Jean-Philippe Harding, Bradley Lacouture, Yves affil: Université d'Ottawa Université Laval su: Confidence intervals Mathematical models of psychology Reaction time Regression analysis Thought & thinking sug: subj: Confidence intervals Mathematical models of psychology Reaction time Regression analysis Thought & thinking keyword: base response times distributions group distribution quantiles response times distribution de groupe temps de réaction temps de réaction base base response times distributions group distribution quantiles response times distribution de groupe temps de réaction temps de réaction base ab: A group distribution is a synthesis of a set of individual distributions. To be adequate, a method for creating group distributions should not introduce characteristics that are not present in the individual distributions and preserve those that are present. A method occasionally used is quantile averaging (sometimes called vincentizations), applied generally to response time distributions. However, it is shown here using quantile-quantile plots on empirical response times that this method is inadequate. As shown by Thomas and Ross (1980, Journal of Mathematical Psychology), to solve this problem, quantile averaging can be generalised using an appropriate nonlinear transformation of the data. Here we argue that the correct transformation is the log transform of response times to which the base response time has been removed. Equivalently, the geometric mean of the quantiles can be used. We first propose 4 estimates of the base response times. We next examine empirical data in a same--different task, in a redundant-attribute target detection task and in a visual search task. The results show that this approach is appropriate to construct group distributions. It can be used to aggregate distributions over multiple participants, over multiple sessions of training for a given participant, or both. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: N holdings: @attributes: islocal: N |
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