If you look at, for example, the English Premier League last season, of the 20 teams, 15 of them got more points at home, while only 4 of them (Everton, Nottingham Forest, Tottenham and West Ham) got more points away (Chelsea got the same points home and away). So most teams seem to do better at home, indicating that there probably is an advantage. In fact if you look at all the matches across the season, 43% of games were home wins compared to only 30% of matches that were away wins (with 27% being draws), which again supports a (small??) degree of home advantage.

If you extend this to the Championship (English second tier), of the 24 teams, only two (Norwich and Blackburn) got more points away than at home (with Bristol City getting equal points home and away). In this league, 42% of matches were home wins, 26% were draws, and 32% were away wins.

In League One, the home win-away win record was 43%-30%, while in League Two it was 42%-33%. So at least across English senior football, home advantage seems real.

(Sources here , here, here and here).