Aplicación exploratoria de la ecuación de correspondencia generalizada a las respuestas de elección de penaltis en el rugby: un análisis descriptivo

  • Heiner Heidrich Psychology Course at the Federal University of Health Sciences of Porto Alegre
  • Leandro Schroder de Paula University of Brasília
  • Alcyr Alves de Oliveira Universidade Federal de Ciências da Saúde de Porto Alegre https://orcid.org/0000-0002-0747-7835

Palabras clave:

rugby unión, comportamiento de elección, ecuación de emparejamiento generalizada, análisis exploratorio

Resumen

Este estudio exploratorio aplicó la Ecuación de Coincidencia Generalizada (GME) para analizar el comportamiento de elección de penales (lineouts vs. saques de meta) en rugby unión. Se analizaron datos de once partidos que involucraron a seis equipos de primera y última línea de la Premiership inglesa mediante análisis de patrones visuales a través del equipo, oponente, diferencial de puntaje y posición en el campo. Los equipos de mayor ranking mostraron una mayor varianza explicada por la GME (R² > 0.70) que los equipos de menor ranking (R² < 0.30). El sesgo hacia los lineouts aumentó con mayores márgenes de puntaje y cuando los penales ocurrieron cerca de las líneas laterales y el área de gol. Los resultados generales mostraron un ajuste modesto (R² = 0.404), hiposensibilidad al refuerzo (a = 0.363) y un sesgo general hacia el lineout (log b = 0.343). Esto demuestra la viabilidad de la GME para examinar la toma de decisiones tácticas en rugby, proporcionando una base para futuras investigaciones.

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Biografía del autor/a

Leandro Schroder de Paula, University of Brasília

Leandro Schroder de Paula, es máster y actualmente candidato a doctorado en Ciencias del Comportamiento por la Universidad de Brasilia (UnB), con licenciatura en Psicología por la Pontificia Universidad Católica de Goiás (PUC-GO).

Alcyr Alves de Oliveira, Universidade Federal de Ciências da Saúde de Porto Alegre

Prof. Alcyr Oliveira holds a Ph.D. from the Institute of Psychiatry, University of London. He is a professor at the Federal University of Health Sciences of Porto Alegre, with expertise in neurobehavioral use of technologies in rehabilitation. He has extensive experience in research ethics and evaluating projects for national and international funding agencies.

Citas

Alferink, L. A., Critchfield, T. S., Hitt, J. L., & Higgins, W. J. (2009). GENERALITY OF THE MATCHING LAW AS A DESCRIPTOR OF SHOT SELECTION IN BASKETBALL.

Journal of Applied Behavior Analysis, 42(3), 595–608. https://doi.org/10.1901/jaba.2009.42-595

Baum, W. M. (1973). TIME ALLOCATION AND NEGATIVE REINFORCEMENT 1. Journal of

the Experimental Analysis of Behavior, 20(3), 313–322. https://doi.org/10.1901/jeab.1973.20-313

Baum, W. M. (1974). ON TWO TYPES OF DEVIATION FROM THE MATCHING LAW: BIAS

AND UNDERMATCHING 1. Journal of the Experimental Analysis of Behavior, 22(1), 231–242. https://doi.org/10.1901/jeab.1974.22-231

Baum, W. M., & Rachlin, H. C. (1969). CHOICE AS TIME ALLOCATION 1. Journal of the Experimental Analysis of Behavior, 12(6), 861–874. https://doi.org/10.1901/jeab.1969.12-861

Bransen, L., Robberechts, P., Van Haaren, J., & Davis, J. (2019, março 1). Choke or Shine? Quantifying Soccer Players’ Abilities to Perform Under Mental Pressure [Apresentação de paper]. 13th Annual MIT Sloan Sports Analytics Conference, Boston, MA, United States. http://www.sloansportsconference.com/wp- content/uploads/2019/02/Choke-or-Shine-Quantifying-Soccer-Players-Abilities-to- Perform-Under-Mental-Pressure.pdf

Cero, I., & Falligant, J. M. (2020). Application of the generalized matching law to chess openings: A gambit analysis. Journal of Applied Behavior Analysis, 53(2), 835–845. https://doi.org/10.1002/jaba.612

Colomer, C. M. E., Pyne, D. B., Mooney, M., McKune, A., & Serpell, B. G. (2020). Performance Analysis in Rugby Union: A Critical Systematic Review. Sports Medicine

- Open, 6(1), 4. https://doi.org/10.1186/s40798-019-0232-x

Critchfield, T. S., Meeks, E., & Stilling, S. T. (2014). Explanatory Flexibility of the Matching Law: Situational Bias Interactions in Football Play Selection. The Psychological Record, 64(3), 371–380. https://doi.org/10.1007/s40732-014-0064-5

Critchfield, T. S., & Stilling, S. T. (2015). A matching law analysis of risk tolerance and gain– loss framing in football play selection. Behavior Analysis: Research and Practice, 15(2), 112–121. https://doi.org/10.1037/bar0000011

Croft, H., Lamb, P., & Middlemas, S. (2015). The application of self-organising maps to performance analysis data in rugby union. International Journal of Performance Analysis in Sport, 15(3), 1037–1046. https://doi.org/10.1080/24748668.2015.11868849

Dosil, J. (Org.). (2005). The Sport Psychologist’s Handbook: A Guide for Sport‐Specific Performance Enhancement (1o ed). Wiley. https://doi.org/10.1002/9780470713174

Falligant, J. M., Boomhower, S. R., & Pence, S. T. (2016). Application of the generalized matching law to point-after-touchdown conversions and kicker selection in college football. Psychology of Sport and Exercise, 26, 149–153. https://doi.org/10.1016/j.psychsport.2016.07.006

Falligant, J. M., Cero, I., Kranak, M. P., & Kurtz, P. F. (2021). Further application of the generalized matching law to multialternative sports contexts. Journal of Applied Behavior Analysis, 54(1), 389–402. https://doi.org/10.1002/jaba.757

Francis, J., & Jones, G. (2014). Elite Rugby Union Players Perceptions of Performance Analysis. International Journal of Performance Analysis in Sport, 14(1), 188–207. https://doi.org/10.1080/24748668.2014.11868714

Gaviglio, M. C., James, N., Crewther, T. B., Kilduff, P. L., & Cook, J. C. (2013). Relationship between match statistics, game outcome and pre-match hormonal state in professional rugby union. International Journal of Performance Analysis in Sport, 13(2), 522–534. https://doi.org/10.1080/24748668.2013.11868667

Herrnstein, R. J. (1961). RELATIVE AND ABSOLUTE STRENGTH OF RESPONSE AS A FUNCTION OF FREQUENCY OF REINFORCEMENT 1, 2. Journal of the

Experimental Analysis of Behavior, 4(3), 267–272. https://doi.org/10.1901/jeab.1961.4-267

Jones, N. M. P., James, N., & Mellalieu, S. D. (2008). An objective method for depicting team performance in elite professional rugby union. Journal of Sports Sciences, 26(7), 691–700. https://doi.org/10.1080/02640410701815170

Kraak, W., Magwa, Z., & Terblanche, E. (2018). Analysis of South African semi-elite rugby head coaches’ engagement with performance analysis. International Journal of Performance Analysis in Sport, 18(2), 350–366. https://doi.org/10.1080/24748668.2018.1477026

Luiselli, J. K., & Reed, D. D. (Orgs.). (2011). Behavioral Sport Psychology: Evidence-Based Approaches to Performance Enhancement. Springer New York. https://doi.org/10.1007/978-1-4614-0070-7

Luiselli, J. K., Woods, K. E., & Reed, D. D. (2011). REVIEW OF SPORTS PERFORMANCE RESEARCH WITH YOUTH, COLLEGIATE, AND ELITE ATHLETES. Journal of

Applied Behavior Analysis, 44(4), 999–1002. https://doi.org/10.1901/jaba.2011.44-

Nel, J. (2023). Estimating success probability of a rugby union goal kick and developing a measure for ranking rugby union goal kickers. South African Journal for Research in Sport, Physical Education and Recreation, 35(1), 133–142.

Painczyk, H., Hendricks, S., & Kraak, W. (2017). Utilisation of performance analysis among Western Province Rugby Union club coaches. International Journal of Performance Analysis in Sport, 17(6), 1057–1072. https://doi.org/10.1080/24748668.2018.1429757

Pocock, C., Bezodis, N. E., Davids, K., & North, J. S. (2018). Hot hands, cold feet? Investigating effects of interacting constraints on place kicking performance at the

Rugby Union World Cup. European Journal of Sport Science, 18(10), 1309– 1316. https://doi.org/10.1080/17461391.2018.1486459

Pocock, C., Bezodis, N. E., Davids, K., Wadey, R., & North, J. S. (2020). Understanding key constraints and practice design in Rugby Union place kicking: Experiential knowledge of professional kickers and experienced coaches. International Journal of Sports Science & Coaching, 15(5–6), 631–641. https://doi.org/10.1177/1747954120943073

Poling, A., Weeden, M. A., Redner, R., & Foster, T. M. (2011). SWITCH HITTING IN BASEBALL: APPARENT RULE‐FOLLOWING, NOT MATCHING. Journal of the

Experimental Analysis of Behavior, 96(2), 283–289. https://doi.org/10.1901/jeab.2011.96-283

Premiership Rugby (Diretor). (2021, fevereiro). Premiership Rugby. PRTV. https://www.premiershiprugby.com/prtv/.

Quarrie, K. L., & Hopkins, W. G. (2015). Evaluation of goal kicking performance in international rugby union matches. Journal of Science and Medicine in Sport, 18(2), 195–198. https://doi.org/10.1016/j.jsams.2014.01.006

Reed, D. D., Critchfield, T. S., & Martens, B. K. (2006). THE GENERALIZED MATCHING LAW IN ELITE SPORT COMPETITION: FOOTBALL PLAY CALLING AS OPERANT

CHOICE. Journal of Applied Behavior Analysis, 39(3), 281–297. https://doi.org/10.1901/jaba.2006.146-05

Reed, D. D., & Dixon, M. (2009). USING MICROSOFT OFFICE EXCEL® 2007 TO

CONDUCT GENERALIZED MATCHING ANALYSES. Journal of Applied Behavior Analysis, 42(4), 867–875. https://doi.org/10.1901/jaba.2009.42-867

Reed, D. D., & Kaplan, B. A. (2011). The Matching Law: A Tutorial for Practitioners. Behavior Analysis in Practice, 4(2), 15–24. https://doi.org/10.1007/BF03391780

Reed, D. D., skoch, J. J., Kaplan, B. A., & Brozyna, G. A. (2011). Defensive performance as a modulator of biased play calling in collegiate American-Rules Football. Revista Mexicana de Análisis de La Conducta, 37(3), 51–57.

Romanowich, P., Bourret, J., & Vollmer, T. R. (2007). FURTHER ANALYSIS OF THE MATCHING LAW TO DESCRIBE TWO‐ AND THREE‐POINT SHOT ALLOCATION

BY PROFESSIONAL BASKETBALL PLAYERS. Journal of Applied Behavior Analysis, 40(2), 311–315. https://doi.org/10.1901/jaba.2007.119-05

Seniuk, H. A., Williams, W. L., Reed, D. D., & Wright, J. W. (2015). An examination of matching with multiple response alternatives in professional hockey. Behavior Analysis: Research and Practice, 15(3–4), 152–160. https://doi.org/10.1037/bar0000019

Stilling, S. T., & Critchfield, T. S. (2010). THE MATCHING RELATION AND SITUATION‐SPECIFIC BIAS MODULATION IN PROFESSIONAL FOOTBALL PLAY

SELECTION. Journal of the Experimental Analysis of Behavior, 93(3), 435–454. https://doi.org/10.1901/jeab.2010.93-435

Vaz, L., Hendricks, S., & Kraak, W. (2019). Statistical Review and Match Analysis of Rugby World Cups Finals. Journal of Human Kinetics, 66(1), 247–256. https://doi.org/10.2478/hukin-2018-0061

Vaz, L., Mouchet, A., Carreras, D., & Morente, H. (2011). The importance of rugby game- related statistics to discriminate winners and losers at the elite level competitions in close and balanced games. International Journal of Performance Analysis in Sport, 11(1), 130–141. https://doi.org/10.1080/24748668.2011.11868535

Villarejo, D., Ortega, E., Gómez, M.-Á., & Palao, J.-M. (2014). Design, validation, and reliability of an observational instrument for ball possessions in rugby union. International Journal of Performance Analysis in Sport, 14(3), 955–967. https://doi.org/10.1080/24748668.2014.11868771

Vollmer, T. R., & Bourret, J. (2000). AN APPLICATION OF THE MATCHING LAW TO EVALUATE THE ALLOCATION OF TWO‐ AND THREE‐POINT SHOTS BY

COLLEGE BASKETBALL PLAYERS. Journal of Applied Behavior Analysis, 33(2), 137–150. https://doi.org/10.1901/jaba.2000.33-137

Watson, N., Hendricks, S., Stewart, T., & Durbach, I. (2021). Integrating machine learning and decision support in tactical decision-making in rugby union. Journal of the Operational Research Society, 72(10), 2274–2285. https://doi.org/10.1080/01605682.2020.1779624

World Rugby Laws. (2021). Laws of the game. https://laws.worldrugby union.org/?law=8

World rugby union. (2017). GLOBAL PARTICIPATION IN rugby union [Mapa]. https://resources.world.rugby union/worldrugby union/document/2020/07/28/212ed9cf-cd61-4fa3-b9d4-9f0d5fb61116/P56-57- Participation-Map_v3.pdf

Publicado
2025-12-11
Cómo citar
Heidrich, H., Schroder de Paula, L., & Alves de Oliveira, A. (2025). Aplicación exploratoria de la ecuación de correspondencia generalizada a las respuestas de elección de penaltis en el rugby: un análisis descriptivo. Análisis y Modificación de Conducta, 51(189), 116-135. https://doi.org/10.33776/EUHU/amc.v51i189.9198
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