Complex 1 in Male Volleyball as a Markov Chain.

Citation:

Drikos, S. (2019). Complex 1 in Male Volleyball as a Markov Chain.. In D. Karlis, Ntzoufras, I., & Drikos, S. (Eds.), MATHSPORT INTERNATIONAL 2019 CONFERENCE (pp. 80-85). Athens University Economics and Business. Copy at http://www.tinyurl.com/2g9nd76c

Abstract:

In Volleyball, complex 1 consists of the serve’s pass (reception) - setting - attack skills in this specified order. This sequence is a stable pattern to win a point. Furthermore, it is important for the teams’ success. Taking into account that this pattern is a first-order Markov chain, the creation of a probability transition matrix is feasible. Assuming multinomial likelihood with a Dirichlet prior on the transition probabilities a Markovian transition matrix can be constructed and the calculation of conditional success probabilities is, thus, achievable. Data from the performance analysis of the winning team from recent world championships in three age categories (U19, U21, Men) of male Volleyball is used. The findings lead to redefining target pass area and to shrinking the evaluation scale at least for the teams under study. Moreover, pass accuracy is necessary because it must give at least two options for attack, but not sufficient condition for the success of attack in all age categories for male Volleyball. In the U19 age category, there is a lack of stabilization in the complex 1 sequence after pass against jump spin serve.