Research article - (2012)11, 475 - 482 |
Water Polo Game-Related Statistics in Women’s International Championships: Differences and Discriminatory Power |
Yolanda Escalante1,, Jose M. Saavedra1, Victor Tella2, Mirella Mansilla3, Antonio García-Hermoso1, Ana M. Dominguez1 |
Key words: Performance analysis, discriminant analysis, goal, goalkeeper |
Key Points |
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Sample |
The sample consisted of the results and game-related statistics of 124 matches played in the three FINA World Championships (Melbourne, Australia, 2007; Rome, Italy, 2009; Shanghai, China, 2011) and two European Water Polo Championships (Málaga, Spain, 2008; Zagreb, Croatia, 2010). Thus, 62 matches corresponded to the preliminary phases, 42 to the classificatory phases, and 20 to the semi-final/bronze medal/gold medal phases. The draw matches were not considering. All the data were retrieved from the official box scores on the Official Website of OMEGA Timing (http://www.omegatiming. com). |
Procedures |
The official box scores provide information on the game statistics analyzed both for each player individually and for the team collectively. These game-related statistics are already of general use among water polo coaches and technicians, and are those that have been used in earlier studies (Enomoto et al., |
Statistical analysis |
Mean and standard deviation were calculated by match outcome (winning and losing teams) and phase (preliminary, classification, and semi-final/bronze medal/gold medal). To determine the variables which differentiate and predict the winning and losing teams, two types of analysis were made: a chi-squared analysis and a discriminant analysis. Chi-squared statistics were used to show the differences by match outcome in each of the three phases. This is the recommended technique when the descriptors are discrete frequency response variables (Nevill et al., This basic statistical study was followed by a discriminant analysis using the sample-splitting method according to match outcome and phase. The criterion used to determine whether or not a variable was discriminatory was Wilks’s lambda, which measures the deviations within each group with respect to the total deviations. The sample-splitting method included initially the variable that best minimized the value of Wilks’s lambda, providing a larger F value with respect to certain critical threshold (F=3.84 to include). From that point on, the method combines the variables pairwise. The next step was pairwise combination of the variables with one of them being the variable included in the first step. Successive steps were performed in the same way, always with the condition that the F-value corresponding to the Wilks’s lambda of the variable to select has to be greater than the aforementioned "include" threshold. If this condition was not satisfied, the process was halted, and no further variables were selected in the process. Before including a new variable, an attempt was made to eliminate some of those already selected if the increase in the value of Wilks’s lambda was minimal, and the corresponding F-value was below a critical value (i.e., F = 2.71 to remove). We then calculated Wilks’s lambda, the canonical correlation index (deviations of the between-group discriminant scores relative to the total deviations), and the percentage of correctly classified matches for each phase (preliminary, classificatory, and semi-final/bronze medal/gold medal). This methodological approach has been used in studies on other aquatic disciplines such as swimming (Saavedra et al., |
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To the best of our knowledge, this is the first study to report the influence of game-related statistics on the outcome of women’s water polo matches, followed by a discriminant analysis of those statistics that predict the winning/losing teams in the preliminary, classificatory, and semi-final, bronze, and gold medal phases. The results for the most important recent International Cham-pionships (2007-2011) have shown that the variables differentiating winners and losers are not the same from one phase of the competition to another. In particular, as the phase of the competition advanced, the number of these variables declined, passing from 13 differentiating variables in the preliminary phase (including defensive actions: steals, blocked shots, goalkeeper-blocked shots, goalkeeper-blocked inferiority goals, and goalkeeper-blocked 5-m shots; and offensive actions: centre goals, power play goals, 5-m goals, counterattack goals, and assists) to one action in the classificatory (won sprints) and semi-final, bronze, and gold medal (goalkeeper-blocked even shots) phases. Similarly, the predictive power of these variables also fell, with correct classification of 92%, 90%, and 83% in the preliminary, classificatory, and final phases, respectively. The variables selected by the model were defensive and offensive, with those being discriminant in the three phases: goals, and goalkeeper-blocked shots. These results could help coaches plan and structure their training and competitions. |
Differences for match outcome (winning/losing teams) |
In the preliminary phase, there were 13 game-related statistics that differentiated winning and losing teams. The winning teams had higher values for offensive playing aspects (centre goals, power play goals, 5-m goals, counterattacks goals, and assists) and lower values for turnover fouls. Also the winning teams had higher values for defensive actions (steals, blocked shots, goalkeeper-blocked shots, goalkeeper-blocked inferiority shots, and goalkeeper-blocked 5-m shots). Timeouts and won sprints, can be seen as neutral or mixed actions given their offensive and defensive nature. This is suggestive of the importance of a balance between offensive and defensive actions. These data are consistent with those of a study of the 10th World Championship held in Barcelona, Spain, in 2003 (Argudo et al., In the classificatory phase, only the sprints differentiated between the winning and losing teams. This coincides with a recent study indicating the influence on the final result of gaining first possession of the ball (Argudo et al., In the semi-final, bronze, and gold medal phase, only one defensive playing aspect differentiated between winning and losing teams - goalkeeper-blocked Even goals. This is consistent with previous studies of the men’s game (Escalante et al., |
Discriminatory power |
In the preliminary phase, the variables selected by the discriminant analysis model were goals, goalkeeper-blocked shots, and goalkeeper-blocked penalty shots, with 92% of the teams being correctly classified (winners and losers). The variable that most discriminated the outcome was goals, coherent with the findings of a study on the Beijing 2008 Olympic Games (Escalante et al. , In the classificatory phase, 90% of the teams were correctly classified (winners and losers) on the basis of the variables goals, goalkeeper-blocked shots, won sprints, offensive fouls, and steals. In this phase, as well as defensive goalkeeper playing aspects (goalkeeper-blocked shots), defensive actions performed by other players, such as steals, are also important. This could indicate that the winning teams were able to perform faster actions with more effective passes leading to goals (Lupo et al., In the semi-final, bronze, and gold medal phase, 83% of the teams were correctly classified (winners and losers) on the basis of the variables goals, goalkeeper-blocked Even shots, and goalkeeper-blocked shots. As in the previous phases, shots were the most important playing aspect discriminating winners from losers, consistent with earlier studies (Escalante et al., |
Limitations |
This study has some limitations. First, the distribution of the total number of matches analyzed into the different phases was naturally uneven (preliminary phase, n=92; classificatory phase, n = 42; and semi-final, bronze, and gold medal phase, n = 20). Nevertheless, there stands out the large total size of the sample (n = 230) and the level of the competitions (the top international level). Second, in the preliminary phase there occur matches in which neither team any longer has any possibility of passing to the next round, which could well influence the corresponding game-related statistics. Third, the discriminant analysis used post hoc prediction. In interpreting the results, it needs to be borne in mind that this type of prediction usually gives higher values for the classification than a priori predictions. |
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This study has shown that women’s water polo game-related statistics differentiate winners from losers in each phase of an International Championship. Nevertheless, it was only in the preliminary phase that more than one variable was involved in this differentiation, including both offensive and defensive aspects of the game. The game-related statistics were found to have a high discriminatory power in predicting the result of matches (92% of the preliminary phase, 90% of the classificatory phase, and 83% of the semi-final, bronze, and gold medal phase), with shots and goalkeeper-blocked shots being discriminatory variables in all three phases. Knowledge of the characteristics of women’s water polo game-related statistics of the winning teams and their power to predict match outcomes will allow coaches to take these characteristics into account when planning training and match preparation. |
ACKNOWLEDGEMENTS |
The authors wish to thank two anonymous reviewers who have helped to improve the quality of this article. During the completion of this paper, YE was visiting researchers at the Cardiff Metropolitan University, Cardiff (UK), supported with grants awarded by European Regional Development Fund (Una Manera de Hacer Europa) and the Autonomous Government of Extremadura (Gobierno de Extremadura) (PO10012). Also the same institution funded this study (GR10171). |
AUTHOR BIOGRAPHY |
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REFERENCES |
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