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Nominal cross recurrence as a generalized lag sequential analysis for behavioral streams

Dale, R; Warlaumont, AS; Richardson, DC; (2011) Nominal cross recurrence as a generalized lag sequential analysis for behavioral streams. International Journal of Bifurcation and Chaos , 21 (4) 1153 - 1161. 10.1142/S0218127411028970. Green open access

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Abstract

We briefly present lag sequential analysis for behavioral streams, a commonly used method in psychology for quantifying the relationships between two nominal time series. Cross recurrence quantification analysis (CRQA) is shown as an extension of this technique, and we exemplify this nominal application of CRQA to eye-movement data in human interaction. In addition, we demonstrate nominal CRQA in a simple coupled logistic map simulation used in previous communication research, permitting the investigation of properties of nonlinear systems such as bifurcation and onset to chaos, even in the streams obtained by coarse-graining a coupled nonlinear model. We end with a summary of the importance of CRQA for exploring the relationship between two behavioral streams, and review a recent theoretical trend in the cognitive sciences that would be usefully informed by this and similar nonlinear methods. We hope this work will encourage scientists interested in general properties of complex, nonlinear dynamical systems to apply emerging methods to coarse-grained, nominal units of measure, as there is an immediate need for their application in the psychological domain.

Type: Article
Title: Nominal cross recurrence as a generalized lag sequential analysis for behavioral streams
Open access status: An open access version is available from UCL Discovery
DOI: 10.1142/S0218127411028970
Publisher version: http://dx.doi.org/10.1142/S0218127411028970
Language: English
Additional information: Electronic version of an article published as International Journal of Bifurcation and Chaos, Vol. 21, No. 4 (2011) 1153–1161, DOI: 10.1142/S0218127411028970, © copyright World Scientific Publishing Company http://www.worldscientific.com/worldscinet/ijbc
Keywords: Recurrence, cross recurrence, psychology, coupling, language, EYE-MOVEMENTS, CONVERSATION, COORDINATION, SYSTEMS, PLOTS, QUANTIFICATION, TRANSIENTS
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Brain Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Brain Sciences > Div of Psychology and Lang Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Brain Sciences > Div of Psychology and Lang Sciences > Experimental Psychology
URI: https://discovery.ucl.ac.uk/id/eprint/1314868
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