IMO, for the Level III PM paper, 40/67.7/ 85 should be an improvement on 40/60/80 and 40/67/83.
Why 67.7? Hank Moody, I take your point, but correcting this band still takes a step in the right direction. e.g. if a candidate scores all in the 51%-70% band for the PM, we know that the score has to be 67.7 - there are no other possibilities.
Why 85? Since 83.3 is the lower limit and 100% the upper limit for the >70% category, the ‘average’ level should be something in between. I can’t prove that e.g. 85 is better than 84, but it should be something in between, so I think 85 should suffice, but 83 would be a ‘minimum’ score rather than an ‘average’ estimate.
Why 40? Since wild guesses should average 33.3%, something between 33.3% and 50% would do it for me for that category.
Changing the values for min and max does make it theoretically more valid, i.e. 0/66.7/83.3 for min, 50/66.7/100 for max.
Iteracom: I didn’t say it was difficult, I said it was resource intensive, more so for Levels I and II rather than III. For each topic that has a different points weighting these values would have to be assigned uniquely, and incorporating that into a reliable system that can support multiple simultaneous queries didn’t seem like something I was equipped to deal with at the time. Learnt lots from the experience though so I may give it another go.
Having said that, I did manage to work out a solution for Level III and have incorporated it now. Hopefully this new set of values doesn’t confuse the majority even further. But if it doesn’t I’d be happier to roll with this as I think it’s closer to the ‘true’ score.