No, all MC questions carry the same weightage. Trying to derive a score from the result distribution matrix using any method is completely bogus and incorrect.
For example, the commonly used 40/60/80 method for MCQ is complete nonsense. You can never get exactly 80% (nor 60% nor 40%) in any section - the itemsets are in multiples of 6.
So for example, Fixed Income MCQ was 1 item set, 6 questions in PM paper worth 18 points.
If CFAI will put you in > 70% category, then you scored 6/6 or 5/6 (or multiples of those) which implies you got 100% or 83.33% respectively in that section. If you use the 40/60/80 method you’re losing atleast 3.33% not to mention 20% if you acutally scored 100%. A better approximation might be to go with the expected value of your score in that section - if you are placed in > 70% category in a section, then you either scored 83.33% or 100% - two outcomes with probability of 0.5 each. So expected value for that particular section will be 83.33% x 0.5 + 100% x 0.5 = 91.67%. Even this is just probabilistic approximation.
Similarly if they place you in 51% - 70% category, then you scored 4/6 (or multiples of that ratio) which implies you got 66.67%. In this case you’re pretty much certain what you scored.
If you’re in the final category of <=50%, then you scored 0/6 or 1/6 or 2/6 or 3/6. If you attempt to calculate an expected value with those 4 possibilities with 25% probability each, then you get expected value = 25%.
So the 40/60/80 method is utter nonsense, even if you go with some level of probabilistic analysis, it should be a 25/66.67/91.67 method for the PM paper. For the AM paper, even such rudimentary analysis is impossible.
People do 40/60/80 for fun/ to gloat/ bask in their glory etc.
We cannot infer that each MCQ question carries a different weightage based on 40/60/80 or even the more logical 25/66.67/91.67 method.
Each MCQ is worth 3 points (which is the time alloted to that MCQ as stated by CFAI) while grading the question and calculating what you scored- there’s no complexity there.
Note that weightages are assigned to each MCQ to arrive at a MPS which is a part of the Modified Angoff method - it has no connection to individual scores.
Doubtful. The expectation function is NOT even monotonic - that is, if x is your 40/60/80 score and E(x) is your expected raw score, it does NOT follow that a > b ==> E(a) >= E(b).
Why is it so hard to grasp that the 40/60/80 metric is stupid? You could have gotten 50% using this and had a better actual score than someone who got 70% using it.
Good post, but it doesn’t make sense to assume that 83% and 100% are equally likely outcomes given that someone scored over 70%.
Not exactly analogous, but if you flipped a fair coin six times, if you knew that there were greater than 4 heads, it would be much more likely that there were 5 rather than 6 total heads.
Thank the lord that is over for me. Did Dec 2011 / Jun 2012 / June 2013, with two young children. Think the wife would have divorced me if I didnt get through.