Does how far away an “away game” is affect how a sports team performs?

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Yes:

This paper assesses the role of distance in professional team sports, taking the example of football (soccer). We argue that a team’s performance in terms of scored and conceded goals decreases with the distance to the foreign playing venue. To test this hypothesis empirically, we investigate 6389 away games from the German Football Premier League (‘Erste Deutsche Bundesliga’) between the playing seasons 1986–87 and 2006–07. We find that distance increases a guest team’s propensity to concede goals and exhibits a negative but insignificant impact on the ability to score goals. The parameter estimates of the squared distance terms indicate that the effects of distance on team performance are non-monotonic. Further, focusing on the outcome of the game (i.e., win, draw or defeat) as a measure of the overall success of a football team we observe significantly negative effects of distance.

Source: “Distance matters in away games: Evidence from the German football league” from Journal of Economic Psychology, Volume 31, Issue 2, April 2010, Pages 200-211

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