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Pursuing Collective Synchrony in Teams: A Regime-Switching Dynamic Factor Model of Speed Similarity in Soccer

Published online by Cambridge University Press:  01 January 2025

Daniel M. Smith*
Affiliation:
Springfield College
Theodore A. Walls
Affiliation:
University of Rhode Island
*
Correspondence should be made to Daniel M. Smith, Department of Physical Education and Health Education, Springfield College, 263 Alden Street, Springfield, MA01109, USA. Email: [email protected]

Abstract

Collective synchrony refers to the simultaneous occurrence of behavior, cognition, emotion, and/or physiology within teams of three or more persons. It has been suggested that collective synchrony may emanate from the copresence of team members, from their engagement in a shared task, and from coordination enacted in pursuit of a collective goal. In this paper, a regime-switching dynamic factor analytical approach is used to examine interindividual similarities in a particular behavioral measure (i.e., speed) in a collegiate soccer team. First, the analytical approach is presented didactically, including the state space modeling framework in general, followed by the regime-switching dynamic factor model in particular. Next, an empirical application of the approach is presented. Speed similarity (covariation in speed, operationalized in two ways: running cadence and distance covered) during competitive women’s soccer games is examined. A key methodological aspect of the approach is that the collective is the unit of analysis, and individuals vary about collective dynamics and their evolution. Reporting on the results of this study, we show how features of substantive interest, such as the magnitude and prevalence of behavioral similarity, can be parameterized, interpreted, and aggregated. Finally, we highlight several key findings, as well as opportunities for future research, in terms of methodological and substantive aims for advancing the study of collective synchrony.

Type
Application Reviews and Case Studies
Copyright
Copyright © 2021 The Psychometric Society

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References

Akaike, H. (1998). Information theory and an extension of the maximum likelihood principle. In Selected papers of hirotugu akaike (pp. 199–213). Springer.CrossRefGoogle Scholar
Araújo, D.Davids, K., &Hristovski, R.(2006). The ecological dynamics of decision making in sport. Psychology of Sport and Exercise,7(6),653676.CrossRefGoogle Scholar
Bowerman, B.O’Connell, R. T., &Koehler, A. B.(2005).Forecasting, time series, and regression: An applied approach,4Cincinnati, OH:South-Western College Pub.Google Scholar
Cannon-Bowers, J.Tannenbaum, S.Salas, E.Volpe, C.Guzzo, R., &Salas, E.Defining competencies and establishing team training requirements.Team effectiveness and decision making in organizations,(1995).San Francisco, CA:Jossey-Bass.333380.Google Scholar
Chow, S-MHo, M-HRHamaker, E. L., &Dolan, C. V.(2010). Equivalence and differences between structural equation modeling and state-space modeling techniques. Structural Equation Modeling,17,303332.CrossRefGoogle Scholar
Chow, S.-M., Witkiewitz, K., Grasman, R., Hutton, R. S., & Maisto, S. A. (2014). A regime-switching longitudinal model of alcohol lapse-relapse. In P. C. M. Molenaar, R. M. Lerner, & K. M. Newell (Eds.), Handbook of developmental systems theory and methodology (pp. 397–424). Guilford Press.Google Scholar
Chow, S-MWitkiewitz, K.Grasman, R., &Maisto, S. A.(2015). The cusp catastrophe model as cross-sectional and longitudinal mixture structural equation models. Psychological Methods,20(1),142164.CrossRefGoogle ScholarPubMed
Collins, L. M., &Graham, J. W.(2002). The effect of the timing and spacing of observations in longitudinal studies of tobacco and other drug use: Temporal design considerations. Drug & Alcohol Dependence,68,8596.CrossRefGoogle ScholarPubMed
Cudeck, R.(1989). Analysis of correlation matrices using covariance structure models. Psychological Bulletin,105(2),317327.CrossRefGoogle Scholar
Duarte, R.Araújo, D.Correia, V., &Davids, K.(2012). Sports teams as superorganisms: implications of sociobiological models of behaviour for research and practice in team sports performance analysis. Sports Medicine,42(8),633642.CrossRefGoogle ScholarPubMed
Duarte, R.Araújo, D.Correia, V.Davids, K.Marques, P., &Richardson, M. J.(2013). Competing together: Assessing the dynamics of team-team and player-team synchrony in professional association football. Human Movement Science,32(4),555566.CrossRefGoogle ScholarPubMed
Durbin, J., & Koopman, S. J. (2012). Time series analysis by state space methods (Second ed.).Google Scholar
Elkins, A. N.Muth, E. R.Hoover, A. W.Walker, A. D.Carpenter, T. L., &Switzer, F. S.(2009). Physiological compliance and team performance. Applied Ergonomics,40(6),9971003.CrossRefGoogle ScholarPubMed
Engle, R., &Watson, M.(1981). A one-factor multivariate time series model of metropolitan wage rates. Journal of the American Statistical Association,76(376),774781.CrossRefGoogle Scholar
Feldman, R.(2003). Infant-mother and infant-father synchrony: The coregulation of positive arousal. Infant Mental Health Journal,24(1),123.CrossRefGoogle Scholar
Hamaker, E. L., &Grasman, R. PPP.(2012). Regime switching state-space models applied to psychological processes: Handling missing data and making inferences. Psychometrika,77(2),400422.CrossRefGoogle Scholar
Hamilton, J. D.(1989). A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica Journal of the Econometric Society,1989,357384.CrossRefGoogle Scholar
Harvey, A. C.Forecasting, structural time series models and the kalman filter,(1989).Cambridge, UK:Cambridge University Press.Google Scholar
Hatfield, E.Cacioppo, J. T., &Rapson, R. L.(1993). Emotional contagion. Current Directions in Psychological Science,2(3),96100.CrossRefGoogle Scholar
Henning, R. A.Boucsein, W., &Gil, M. C.(2001). Social-physiological compliance as a determinant of team performance. International Journal of Psychophysiology,40(3),221232.CrossRefGoogle ScholarPubMed
Ho, M.-H. R., Shumway, R., & Ombao, H. (2006). The state space approach to modeling dynamic processes. In T. A. Walls & J. L. Schafer (Eds.), Models for intensive longitudinal data (pp. 148–175). New York, NY: Oxford. https://doi.org/10.1093/acprof:oso/9780195173444.001.0001CrossRefGoogle Scholar
Hunter, M. D.(2018). State space modeling in an open source, modular, structural equation modeling environment. Structural Equation Modeling: A Multidisciplinary Journal,25(2),307324.CrossRefGoogle Scholar
Jones, R. H.Longitudinal data with serial correlation: A state-space approach,(1993).London, UK:Chapman & Hall Press.CrossRefGoogle Scholar
Kalman, R. E.(1960). A new approach to linear filtering and prediction problems. Journal of Basic Engineering,82(1),3545.CrossRefGoogle Scholar
Kim, C. J.Nelson, C. R.State-space models with regime switching: classical and gibbs-sampling approaches with applications,(1999).Cambridge, MA:MIT Press.CrossRefGoogle Scholar
Krane, W. R., &McDonald, R. P.(1978). Scale invariance and the factor analysis of correlation matrices. British Journal of Mathematical and Statistical Psychology,31(2),218228.CrossRefGoogle Scholar
López-Felip, M. A.Davis, T. J.Frank, T. D., &Dixon, J. A.(2018). A cluster phase analysis for collective behavior in team sports. Human Movement Science,59,96111.CrossRefGoogle ScholarPubMed
Molenaar, P. CM.(1985). A dynamic factor model for the analysis of multivariate time 722 series. Psychometrika,50(2),181202.CrossRefGoogle Scholar
Nesselroade, J. J.McArdle, J. J.Aggen, S. H.Meyers, J. H.Moskowitz, D. M., &Hershberger, S. L.Dynamic factor analysis models for representing process in multivariate time-series.Modeling intraindividual variability with repeated measures data: Methods and applications,(2002).Mahwah, NJ:Erlbaum.233266.Google Scholar
Ou, L., Hunter, M. D., & Chow, S.-M. (2018). dynr: Dynamic modeling in r [Computer software manual]. Retrieved from https://CRAN.R-project.org/package=dynr(R package version 0.1.12-5)Google Scholar
Palumbo, R. V.Marraccini, M. E.Weyandt, L. L.Wilder-Smith, O.McGee, H. A.Liu, S., &Goodwin, M. S.(2017). Interpersonal autonomic physiology: A systematic review of the literature. Personality and Social Psychology Review,21(2),99141.CrossRefGoogle ScholarPubMed
R Core Team. (2017). R: A language and environment for statistical computing [Computer software manual]. Vienna, Austria. Retrieved from http://www.R-project.org/Google Scholar
Rovine, M. J.Walls, T. A.Walls, T. A., &Schafer, J. L.Multilevel autoregressive modeling of interindividual differences in the stability of a process.Models for intensive longitudinal data,(2006).Oxford:New York, NY.127147.Google Scholar
Schwarz, G.(1978). Estimating the dimension of a model. The Annals of Statistics,6(2),461464.CrossRefGoogle Scholar
Shumway, R. H., & Stoffer, D. S. (2010). Time series analysis and its applications: with r examples. Springer Science & Business Media.Google Scholar
Smith, D. M. (2018). Collective synchrony in team sports (Unpublished doctoral dissertation). University of Rhode Island.Google Scholar
Smith, D. M., &Walls, T. A.(2016). Multiple time scale models in sport and exercise science. Measurement in Physical Education and Exercise Science,20(4),185199.CrossRefGoogle Scholar
Strang, A. J.Funke, G. J.Russell, S. M.Dukes, A. W., &Middendorf, M. S.(2014). Physio-behavioral coupling in a cooperative team task: Contributors and relations. Journal of Experimental Psychology: Human Perception and Performance,40(1),145159.Google Scholar
Voelkle, M. C., &Oud, J. H.(2013). Continuous time modelling with individually varying time intervals for oscillating and non-oscillating processes. British Journal of Mathematical and Statistical Psychology,66(1),103126.CrossRefGoogle ScholarPubMed
Walls, T. A.Barta, W. D.Stawski, R. S.Collyer, C.Hofer, S. M.Laursen, B.Little, T. D., &Card, N. A.Time-scale-dependent longitudinal designs.Handbook of developmental research methods,(2012).New York, NY:Guilford.4664.Google Scholar
Walls, T. A.Schafer, J. L.Models for intensive longitudinal data,(2006).Oxford:New York, NY.CrossRefGoogle Scholar
Wiltermuth, S. S., &Heath, C.(2009). Synchrony and cooperation. Psychological Science,20(1),15.CrossRefGoogle ScholarPubMed
Yang, M., &Chow, S-M(2010). Using state-space model with regime switching to represent the dynamics of facial electromyography (EMG) data. Psychometrika,75(4),744771.CrossRefGoogle Scholar