I looked at data on all previous CL seasons' two-legged knockout fixtures but excluded all first knockout stage fixtures, because in these cases, whether you play the second leg at home is determined by previous performance in the tournament. (In scientific parlance, assignment to conditions is nonrandom.)
It turns out that exactly half of the fixtures were won by the teams that played at home first, which suggests that one of football's most cherished wisdoms is wrong. Two caveats, however: 1. Obviously, if you'd add the results from this season's quarter-finals, this would alter the outcome - but let's see how the semis go first. 2. The sample is pretty small (n=42). I'd like
Earlier: What's a good first-leg result?
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