Enough said. Advancement in the cups
is is statistically related to the relative strengths of the teams. The fact that the CAP system does not generally track advancement is evidence that the CAP is not an accurate gauge of team strength.
Of course, the poster refuses to say exactly what CAP measures. Probably he just doesn't know, which is sad.
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Okay lets have a little experiment. I don't know the exact formula that FIFA uses to rank teams and therefore I'll "refuse to disclose" them. I do know that they are based on the relative strengths of the teams and take into account away vs home games with a bonus given to wins away. Now lets run a little elimination tournament using the state random draw with no seeding. Only the top two teams advance. My teams:
Group D: Brazil (1611), Germany (1082), Argentina (1076), and the Netherlands (1231) - Results of first round standings have all games finish as expected except Germany beats the Netherlands 1-0 and advances to the elimination round on points - The eliminated teams are the Netherlands and Argentina.
Group E: Sweden (761), Honduras (734) and Scotland (699) - Results are also as expected, except Scotland ties Honduras and moves forward on goal differential. Eliminated team Honduras.
Under your theory that advancement in a cup is statistically related to relative team strengths, both Scotland and Sweden are stronger teams than the Netherlands and Argentina because they advanced to the elimination rounds.
Under my theory that FIFA rankings (like CAP scores) are based on relative team strengths and that randomly drawn elimination tournaments are poor predictors of relative team strengths, I believe that the Netherlands and Argentina are still stronger teams than either Sweden or Scotland. Care to take bets on the Netherlands v Scotland game. I'll even spot you a goal and we can play in Glasgow.