Skip to main content
Log in

Comparing bivariate and multivariate timeseries analysis in joint action using cross-recurrence quantification analysis

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

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

  1. N. Marwan, M.C. Romano, M. Thiel, J. Kurths, Phys. Rep. 438, 237 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  2. M.I. Coco, R. Dale, Front. Psych. 5, 12 (2014)

    Google Scholar 

  3. R. Dale, A.S. Warlaumont, Chaos 21, 1153 (2011)

    Google Scholar 

  4. R. Fusaroli, I. Konvalinka, S. Wallot, Transl. Recurrences 2, 137–155 (2014)

    Article  Google Scholar 

  5. A. Strang, G.J. Funke, B.A. Knott, J.S. Warm, Proc. Hum. Factors Ergon. Soc. Annu. Meet. 55, 1447 (2011)

    Article  Google Scholar 

  6. M.T. Tolston, K. Shockley, M.J. Richardson, J. Exp. Psychol. Hum. Percept. Perform. 40, 1891 (2014)

    Article  Google Scholar 

  7. J.E. Hoch, O. Ossmy, W.G. Cole, S. Hasan, K.E. Adolph, Child Dev. 92, 1337 (2021)

    Article  Google Scholar 

  8. D. López Pérez, G. Leonardi, A. Niedźwiecka, A. Radkowska, J. Rączaszek-Leonardi, P. Tomalski, Front. Psych. 8, 2 (2017)

    Google Scholar 

  9. 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)

    Article  Google Scholar 

  10. D.H. Abney, A. Paxton, R. Dale, C.T. Kello, Cogn. Process. 16, 325 (2015)

    Article  Google Scholar 

  11. M.J. Richardson, S.M. Lopresti-Goodman, M. Mancini, Neurosci. Lett. 438, 340 (2008)

    Article  Google Scholar 

  12. T.J. Davis, G.B. Pinto, A.W. Kiefer, Front. Psych. 8, 718 (2017)

    Article  Google Scholar 

  13. V.C. Ramenzoni, M.A. Riley, K. Shockley, A.A. Baker, Hum. Mov. Sci. 31, 1253 (2012)

    Article  Google Scholar 

  14. A. Washburn, M. DeMarco, S. de Vries, K. Ariyabuddhiphongs, R.C. Schmidt, M.J. Richardson, Front. Hum. Neurosci. 8, 800 (2014)

    Article  Google Scholar 

  15. Q. Liu, Q. Wang, X. Li, X. Gong, X. Luo, T. Yin, J. Liu, L. Yi, Autism. Res. 14, 2120 (2021)

    Article  Google Scholar 

  16. V. Romero, P. Fitzpatrick, R. C. Schmidt, and M. J. Richardson, in Recurrence Plots Their Quantif. Expand. Horiz. 227–240 (2016).

  17. S. Wallot, Multivar. Behav. Res. 54, 173 (2019)

    Article  Google Scholar 

  18. S. Wallot, A. Roepstorff, D. Mønster, Front. Psych. 7, 113 (2016)

    Google Scholar 

  19. N. Marwan and J. Kurths, in Mathematical Physics Research at the Cutting Edge, 101 (2004).

  20. K.L. Marsh, M.J. Richardson, R.C. Schmidt, Top Cogn. Sci. 1, 320 (2009)

    Article  Google Scholar 

  21. R.P.R.D. van der Wel, C. Becchio, A. Curioni, T. Wolf, Acta Psychol. 215, 103285 (2021)

    Article  Google Scholar 

  22. J. Masumoto, N. Inui, J. Neurophysiol. 113, 3736 (2015)

    Article  Google Scholar 

  23. M.A. Riley, M.J. Richardson, K. Shockley, V.C. Ramenzoni, Front. Psych. 2, 38 (2011)

    Google Scholar 

  24. C. Yu, L.B. Smith, Cogn. Sci. 41, 5 (2017)

    Article  Google Scholar 

  25. M.T. Turvey, A. Sheya, Psychon. Bull. Rev. 24, 1597 (2017)

    Article  Google Scholar 

  26. G.C. Van Orden, J.G. Holden, M.T. Turvey, J. Exp. Psychol. Gen. 132, 331 (2003)

    Article  Google Scholar 

  27. F. Takens, in Dynamical Systems and Turbulence, Lecture Notes in Mathematics, 366–381 (1981).

  28. D.N. Athreya, M.A. Riley, T. Davis, Exp. Brain Res. 232, 2741 (2014)

    Article  Google Scholar 

  29. C.L. Crone, L.M. Rigoli, G. Patil, S. Pini, J. Sutton, R.W. Kallen, M.J. Richardson, Hum. Mov. Sci. 76, 102776 (2019)

    Article  Google Scholar 

  30. H. Vrzakova, M. J. Amon, A. E. B. Stewart, S. K. D’Mello, Conf. Hum, 342 (2019)

  31. S. Wallot, G. Leonardi, Front. Psych. 9, 2232 (2018)

    Article  Google Scholar 

  32. P.M. Fitts, J. Exp. Psychol. 47, 381 (1954)

    Article  Google Scholar 

  33. J.M. Fine, E.L. Amazeen, Exp. Brain Res. 211, 459 (2011)

    Article  Google Scholar 

  34. C. Vesper, L. Schmitz, and G. Knoblich, in Proc. 38th Annu. Conf. Cogn. Sci. Soc, 2219 (2016).

  35. S. Gentry, E. Feron, and R. Murray-Smith, in (IEEE, 2005), pp. 3402–3407.

  36. J. Bezanson, A. Edelman, S. Karpinski, V.B. Shah, SIAM Rev. 59, 65 (2017)

    Article  MathSciNet  Google Scholar 

  37. S. Wallot, D. Mønster, Front. Psychol. 9, 1679 (2018)

    Article  Google Scholar 

  38. G. Datseris, J. Open Source Softw. 3, 598 (2018)

    Article  ADS  Google Scholar 

  39. A.M. Fraser, H.L. Swinney, Phys Rev A 33, 1134 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  40. I. Vlachos and D. Kugiumtzis, Top. Chaotic Syst. - Sel. Pap. CHAOS 2008 Int. Conf. 378 (2009).

  41. M.B. Kennel, R. Brown, H.D.I. Abarbanel, Phys. Rev. A 45, 3403 (1992)

    Article  ADS  Google Scholar 

  42. Y.-Y. Liu, J.-J. Slotine, A.-L. Barabási, Proc. Natl. Acad. Sci. 110, 2460 (2013)

    Article  ADS  Google Scholar 

  43. A. Raue, V. Becker, U. Klingmüller, J. Timmer, Chaos 20, 045105 (2010)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

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

Correspondence to Sierra F. Corbin.

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.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjs/s11734-022-00745-w

Navigation