Scandinavian Journal of Medicine and Science in Sports · 2018 · 19 citations · 25 references
Social SciencesPsychologyExperimental PsychologyGame TheorySport PsychologyBehavioral Game TheoryGame Theory In CompetitionDecision-making In Fielding GamesDecision-making In Striking GamesPenalties
During a soccer penalty, the shooter's strategy and the goalkeeper's strategy interact to determine the outcome. However, most models of penalty success overlook its interactive nature. Here, we quantified aspects of shooter and goalkeeper strategies that interact to influence the outcome of soccer penalties-namely, how the speed of the shot affects the goalkeeper's leave time or shot-blocking success, and the effectiveness of deceptive strategies. We competed 7 goalkeepers and 17 shooters in a series of penalty shoot-out competitions with a total of 1278 shots taken. Each player was free to use any strategy within the rules of a penalty shot, and game-like pressure was created via monetary incentive for goal-scoring (or blocking). We found that faster shots lead to earlier leave times and were less likely blocked by goalkeepers, and-unlike most previous studies-that deceptive shooting strategies did not decrease the likelihood goalkeepers moved in the correct direction. To help identify optimal strategies for shooters and goalkeepers, we generated distributions and mathematical functions sport scientists can use to develop more comprehensive models of penalty success.
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R: A Language and Environment for Statistical Computing
R Core Team · 2000 · 353K citations · Full text
Natural Sciences, Computer Science, Statistical Computing +10
Fitting Linear Mixed-Effects Models Using <b>lme4</b>
Douglas M. Bates, Martin Mächler, Benjamin M. Bolker et al. · Journal of Statistical Software · 2015 · 85.6K citations · Full text