FWIW I ran the simulations again but with the per-board skillfactor proportional to the noise level. As discussed earlier, I would expect this to favour matchpoints. I simply multiplied the skill factor with the noise - some rescaling of the parameters in order to give similar correlations as before may be appropriate, as you can see the correlations are much weaker now:
The average Spearman correlations between strength and IMP scoring was (as a function of shape parameter of the skill factor distribution and number of tables):
.1;3 .1;9 .1;27 1;3 1;9 1;27 10;3 10;9 10;27
0.316 0.376 0.394 0.503 0.584 0.617 0.562 0.640 0.675
For MPs:
.1;3 .1;9 .1;27 1;3 1;9 1;27 10;3 10;9 10;27
0.348 0.423 0.452 0.506 0.610 0.651 0.543 0.645 0.690
As before, maatchpoints are favored by large fields and imps by small fields when the board population is homogenous. This is what you would expect since when the board population is homogenous it doesn't matter much whether the noise and skill factor are correlated or not since both are roughly constant. But for heterogenous sets of boards (shape parameter for the skill factor equal to 0.1 or 1), matchpoints are generally favoured. Again, this is what one would expect.
Obviously the two scenaria - noise proportional to skill factor, and noise independent of skill factor - are two extremes, and a mor realistic scenario would be somewhere between the two. The again, we really need some real data.
The world would be such a happy place, if only everyone played Acol :) --- TramTicket