Thanks, PatjeBono,
But in sports, if we say "Such-and-such a player was shooting at 80%" we usually mean that they actually have scored at that level. It's not unreasonable that people coming to BB expect that when they see a rating saying that players were shooting at a certain percentage that would be reflected in the players' actual performance.
What you're saying is that the players in my team at SG were in theory shooting at 82.9 points per 100 shots (based on the quality of their shooting and the quality of the opponents' defence, etc) but in practice their stats show that their performance in the game was better than that?
So now my question is how can the computer know what their 'in theory' performance was? What are the variables which explain the difference between the 'in theory' performance of 82.9 points per 100 shots, and their actual scoring rate of 96 points per 100 shots? Just good luck? Or something more controllable?
Put another way, is it the case that the 'Matchup ratings' are like the 'team ratings' (in that they describe the relative strengths of the teams, not the relative actual acheivements in a particular game) rather than like the box score, describing actual events on the court? I've assumed they are a factual representation of the players' performance, but you seem to be saying that they are not...