Abstract
When pursuing a shared goal, pairs of individuals act in ways that reflect the reciprocal relationships between individual and interpersonal capabilities, demands, and actions. One important question facing researchers is how to best analyze these joint action data given the many behaviors spread out across multiple actors that contribute to achieving the shared outcome. In this paper, we compare the analysis of interpersonal motor coordination when using a single measured timeseries from each actor to using multivariate (more than two) timeseries when using cross-recurrence quantification analysis (CRQA). Pairs of participants completed a joint Fitts’s task by moving their arms between two targets relative to one another (in-phase or anti-phase). Asymmetries in the task demands were produced by varying the relative distances participants had to move between targets and individual stance demands. Our results indicate that when using a multivariate timeseries from each actor for phase space reconstruction, CRQA was more sensitive to changes in coordination dynamics brought about by these experimental manipulations, suggesting that when available, joint action researchers would benefit from using multivariate timeseries in the analysis of behavior.
Similar content being viewed by others
Data availability statement
This manuscript has associated data in a data repository. [Authors’ comment: Please see statement 1 in the supplemental materials and notes section for direct access to code and examples for the employed analyses. Access to the data repository will be made available upon request.]
References
N. Marwan, M.C. Romano, M. Thiel, J. Kurths, Phys. Rep. 438, 237 (2007)
M.I. Coco, R. Dale, Front. Psych. 5, 12 (2014)
R. Dale, A.S. Warlaumont, Chaos 21, 1153 (2011)
R. Fusaroli, I. Konvalinka, S. Wallot, Transl. Recurrences 2, 137–155 (2014)
A. Strang, G.J. Funke, B.A. Knott, J.S. Warm, Proc. Hum. Factors Ergon. Soc. Annu. Meet. 55, 1447 (2011)
M.T. Tolston, K. Shockley, M.J. Richardson, J. Exp. Psychol. Hum. Percept. Perform. 40, 1891 (2014)
J.E. Hoch, O. Ossmy, W.G. Cole, S. Hasan, K.E. Adolph, Child Dev. 92, 1337 (2021)
D. López Pérez, G. Leonardi, A. Niedźwiecka, A. Radkowska, J. Rączaszek-Leonardi, P. Tomalski, Front. Psych. 8, 2 (2017)
S.M. Schwab, N.S. Carver, M.H. Forman, D.H. Abney, T.J. Davis, M.A. Riley, A. Paxton, P.L. Silva, J. Dev. Phys. Disabil. 34, 255 (2022)
D.H. Abney, A. Paxton, R. Dale, C.T. Kello, Cogn. Process. 16, 325 (2015)
M.J. Richardson, S.M. Lopresti-Goodman, M. Mancini, Neurosci. Lett. 438, 340 (2008)
T.J. Davis, G.B. Pinto, A.W. Kiefer, Front. Psych. 8, 718 (2017)
V.C. Ramenzoni, M.A. Riley, K. Shockley, A.A. Baker, Hum. Mov. Sci. 31, 1253 (2012)
A. Washburn, M. DeMarco, S. de Vries, K. Ariyabuddhiphongs, R.C. Schmidt, M.J. Richardson, Front. Hum. Neurosci. 8, 800 (2014)
Q. Liu, Q. Wang, X. Li, X. Gong, X. Luo, T. Yin, J. Liu, L. Yi, Autism. Res. 14, 2120 (2021)
V. Romero, P. Fitzpatrick, R. C. Schmidt, and M. J. Richardson, in Recurrence Plots Their Quantif. Expand. Horiz. 227–240 (2016).
S. Wallot, Multivar. Behav. Res. 54, 173 (2019)
S. Wallot, A. Roepstorff, D. Mønster, Front. Psych. 7, 113 (2016)
N. Marwan and J. Kurths, in Mathematical Physics Research at the Cutting Edge, 101 (2004).
K.L. Marsh, M.J. Richardson, R.C. Schmidt, Top Cogn. Sci. 1, 320 (2009)
R.P.R.D. van der Wel, C. Becchio, A. Curioni, T. Wolf, Acta Psychol. 215, 103285 (2021)
J. Masumoto, N. Inui, J. Neurophysiol. 113, 3736 (2015)
M.A. Riley, M.J. Richardson, K. Shockley, V.C. Ramenzoni, Front. Psych. 2, 38 (2011)
C. Yu, L.B. Smith, Cogn. Sci. 41, 5 (2017)
M.T. Turvey, A. Sheya, Psychon. Bull. Rev. 24, 1597 (2017)
G.C. Van Orden, J.G. Holden, M.T. Turvey, J. Exp. Psychol. Gen. 132, 331 (2003)
F. Takens, in Dynamical Systems and Turbulence, Lecture Notes in Mathematics, 366–381 (1981).
D.N. Athreya, M.A. Riley, T. Davis, Exp. Brain Res. 232, 2741 (2014)
C.L. Crone, L.M. Rigoli, G. Patil, S. Pini, J. Sutton, R.W. Kallen, M.J. Richardson, Hum. Mov. Sci. 76, 102776 (2019)
H. Vrzakova, M. J. Amon, A. E. B. Stewart, S. K. D’Mello, Conf. Hum, 342 (2019)
S. Wallot, G. Leonardi, Front. Psych. 9, 2232 (2018)
P.M. Fitts, J. Exp. Psychol. 47, 381 (1954)
J.M. Fine, E.L. Amazeen, Exp. Brain Res. 211, 459 (2011)
C. Vesper, L. Schmitz, and G. Knoblich, in Proc. 38th Annu. Conf. Cogn. Sci. Soc, 2219 (2016).
S. Gentry, E. Feron, and R. Murray-Smith, in (IEEE, 2005), pp. 3402–3407.
J. Bezanson, A. Edelman, S. Karpinski, V.B. Shah, SIAM Rev. 59, 65 (2017)
S. Wallot, D. Mønster, Front. Psychol. 9, 1679 (2018)
G. Datseris, J. Open Source Softw. 3, 598 (2018)
A.M. Fraser, H.L. Swinney, Phys Rev A 33, 1134 (1986)
I. Vlachos and D. Kugiumtzis, Top. Chaotic Syst. - Sel. Pap. CHAOS 2008 Int. Conf. 378 (2009).
M.B. Kennel, R. Brown, H.D.I. Abarbanel, Phys. Rev. A 45, 3403 (1992)
Y.-Y. Liu, J.-J. Slotine, A.-L. Barabási, Proc. Natl. Acad. Sci. 110, 2460 (2013)
A. Raue, V. Becker, U. Klingmüller, J. Timmer, Chaos 20, 045105 (2010)
Author information
Authors and Affiliations
Contributions
TJD conceived of the study and designed the experiments. SFC performed the quantitative analysis. Both the authors contributed equally to the draft of the manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that we have no financial or non-financial competing interests associated with the submission and publication of this manuscript.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Corbin, S.F., Davis, T.J. Comparing bivariate and multivariate timeseries analysis in joint action using cross-recurrence quantification analysis. Eur. Phys. J. Spec. Top. 232, 169–177 (2023). https://doi.org/10.1140/epjs/s11734-022-00745-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjs/s11734-022-00745-w