Partial rankings are the aggregated standings from subsets of matches within the group, either built automatically (e.g. for each game, in a group that plays different games, for each number of factions, for each game weight) or - in Plus groups - as defined by the group's admins.
Each subset has its own ranking.
If you play both foosball and table tennis with the same people, you don't need to create two different groups: just enter all matches in the same group and you'll automatically get rankings for foosball, table tennis and both.