Still waiting for an explanation though.
It is in Spanish. You are supporter, look for "teorema de bayes" in the forums and I can translate. I don't want to write it from scratch again.
My spanish is not great but still good enough to understand. And again, I don't agree with you, at all. Whatever statistical model or framework you use, it is impossible to draw conclusions from a single observation analysis. It's just statistics 101.
Your analysis would become relevant after, say, 5 games. And as I said, after 5 games it's already way too late, your player has lost most of his value.
Anyway just say for the example that I agree with you. I pay 1 million for a rookie and he has 4 fouls during his first game. Looks like he's an aggressive guy, what do I do next? Sell him straight away? He already lost value and he could very well not be aggressive after all, because the statistical significance of his aggressiveness is low (1 observation!). Keep him for a few more games and then sell him if he's, indeed, aggressive? The loss is even bigger. So, do I keep him and train him for years? That would make me stupid according to you.
So in this situation, I either lose money or keep training him even though that makes me stupid. The very fact that I can lose a potentially large amount of money in just one or two weeks, because of something I couldn't have avoided since it was impossible to know the player was aggressive, proves that there's something wrong with the foul system right now in BB (or at least until last season, let's see how things are different now).
You talk about "long-term choices" and managers being rewarded for their sound "long-term" strategy while we're talking about a totally random process, where you can buy a player and instantly lose money because of a hidden attribute.
As I said in my first reply to you, it doesn't make sense. You're just pushing elitism beyond limits, if you ask me.