Quote:@basebal21,
I agree with your comments on my post. I'm guilty of sloppy wording, and should have just said we "find a higher proportion of top grades in the population report..."
The purpose of that exercise was just to show that even if we use the method used by the OP on the 1948
Franklin half, we do NOT necessarily find that NGC tends to have more top graded coins than PCGS.
But that was the point, the population reports except in the instances of extreme rarities are pretty worthless for trying to do mathematical analysis. They're good for finding where grades get scare or what issues should be harder to find, but they are far too inaccurate for statistical analysis which I know a lot of people would like to see.
The point I was and have been making is that there's so much more that goes into this.