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Example of the momentary strengths of both teams during the match between Germany and France, 25 x 25. Note that there are no DMA values for the first and last 3 situations of ball possessions for either team, because the averaging window is of length 4.

Example of the momentary strengths of both teams during the match between Germany and France, 25 x 25. Note that there are no DMA values for the first and last 3 situations of ball possessions for either team, because the averaging window is of length 4.

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Handball is an Olympic team sport characterized by changes of ball possession, where teams either play on offense or defense. In this paper, we model momentary strength in handball as scoring probabilities based on a double moving average. In this cross-sectional observational study, the aim was to describe the dynamics of momentary strength in han...

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... 1 Plotting the course of the DMA for both teams over time did not only reveal the phases of strength and weakness for each team, but also the relationship between the two DMAs over time, which was our operational definition of the interaction between the teams. An example of this interaction is shown in Figure 1 during the match between Germany and France that ended in a tie (25-25). It is possible to observe changes during the match using momentary strength to represent important aspects of the dynamic interaction process between the two teams. ...

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Chapter
Theoretical performance analysis (TPA) and practical performance analysis (PPA) were introduced as “sub-disciplines” of performance analysis in the first chapter. This distinction constitutes a basic concept of performance analysis as a scientific subject. TPA has become a very productive scientific discipline along with the increasing amount of data available on sports competitions. A classification of approaches in TPA may distinguish three “schools” that have evolved, the “stats” school, the modelling approach, and the dynamical systems school, each with a specific set of preferred methods. A commonality of all these approaches is that they are in principle employing designs of basic research, that is, the aim is to establish general (statistical) laws or adequate models for a better understanding of the phenomena. This chapter has three sections dealing with general problems and aims of the basic approaches of TPA: statistical approaches with performance profiles and studies on influencing or contextual factors, modelling approaches, which are divided in direct models for sports phenomena (ball possession, playing style etc.) and models imported from other fields like social network analysis or stochastical models, and, finally, dynamical systems theories with complex systems theory/synergetics and ecological psychology. These three basic areas are treated more in depth trying to give a systematics of topics they are dealing with, focusing on specific concepts and methods.