Figure 3

Distributions of the probability of formation changes. (a) Distribution for the teams in the J-League data. (b) Distribution for the managers in the J-League data. (c) Distribution for the teams in the Bundesliga data. (d) Distribution for the managers in the Bundesliga data. In (a)-(d), the colored bars correspond to the teams or managers that have played at least 100 matches. (e) Probability of formation change in each season in J-League, aggregated over the different teams and managers. A circle represents a season. Because the J-League data set did not have the information on managers between 1993 and 1998, we neglected changes of managers between 1993 and 1998. Between 1993 and 2004, except for 1996, intervals between two circles are dense because a season consists of two half seasons. (f) Probability of formation change in each season in Bundesliga, aggregated over the different teams and managers.