Surprisingly even with all the math I get it a whole lot more now than I did with stupid ordinals.
I dabble with Fermat's Last Theorem [
laid to rest by Andrew Wiles in 1994
-- MM ] and models of the universe in my spare time, and even I don't like CoP. I think you expect too much of average people. Why should everyone have to be a mathematician to understand what is happening...
Toni actually has a good point, and a very interesting one.
How many people actually understood OBO? If you gave the typical fan the complete list of ordinals for each judge, in many cases it would be impossible for that fan to figure out who won (this is especially true for the skaters in the middle of the pack.)
At the 2002 Olympics, the New York Times published a big but erroneous story claiming that if the U.S. judge (Joe Inman) had placed Kwan in second and Slutskaya third, instead of the other way around, then Kwan would have won the gold medal.
This would have been correct if the Olympics were using the "majority of ordinals" method of determining the winner (the method used, for instance, at U.S. nationals.) But the Olympics used OBO ("one-by-one") instead, so under that system,
two extra judges would have had to switch Kwan and Slutskaya in order to take the prize from Hughes.
Here are the ordinals for the LP.
................GER RUS SVK DEN ITA BLR FIN CAN USA
Hughes.......1......4......3..... .4......1.....2......1......1........1
Slutskaya.. 1......1.......1......4.......1.....2......3......2.......2
Kwan..........2......2......2......2.......2.....3......3... ..2.......3
Switch the 2 and the 3 for the U.S. judge, and Kwan wins the majority of first and second place ordinals over Slutskaya 7 to 6. Kwan gets second in the LP and first overall. (I don't have space here to list all the cross tables for OBO.

)
Under ordinals some really wierd mathematical things were possible, and actually happened occasionally. Thing like -- skater A (first) is leading skater B (second), with one skater left to go. That skater manages to insert herself between skaters C and D, well behind the leaders, and gets fourth place. Now B wins. :scratch: Why? Well some (a minority) of the judges had D ahead of A or B, so when the last skater beat D, that also affected the spreadsheets for A and B.
Mathematically, the trouble with ordinals is that they cannot be treated like ordinary numbers. You cannot average ordinals, for instance. (Basically, this is because you cannot add ordinals: 1st place + 2nd place = 3rd place?). Doing statistical analysis of ordinals is a bear because they do not follow standard probabiltity distributions. Plus, under ordinal judging you cannot guarantee that there will be a clear winner (this is called the "Condorcet paradox," or the "rock-paper-scissors paradox.")
What is interesting is that despite all this, most people thought (incorrectly) that they understood ordinal judging, but (also incorrectly) that they couldn't understand the new system. There just seemed to be an immediacy, in the old system, between the performance the spectatrs saw on the ice and the results. This immediacy seems to be lacking now, for some reason.