5 ms·
This was interesting to me so I spent a while this AM playing with a Python simulation of this effect. I used a simple process model of a normally-distributed u
by Dave_Rosenthal 5y ago
This was interesting to me so I spent a while this AM playing with a Python simulation of this effect. I used a simple process model of a normally-distributed underlying 'true skill' for participants, a test with questions of varying difficulty, some random noise in assessing whether the person would get the question right, noise in people's assessments of their own ability, etc.
I fiddled with number of test questions, amounts of variation in question difficulty, various coefficients, etc.
In none of my experiments did I add a bias on the skill axis.
My conclusion is that the "slope < 1" part of the DK effect (from their original graph) is very easy to reproduce as an artifact of the methodology. I could reproduce the rough slope of the DK quartiles graph with a variety of reasonable assumptions. (One simple intuition is that there is noise in the system but people are forced to estimate their percentiles between 0 and 100, meaning that it's impossible for the actual lowest-skill person to underestimate their skill. There are probably other effects too.)
However, I didn't find an easy way using my simulation to reproduce the "intercept is high" part of the DK effect to the extent present in the DK graphs, i.e. where the lowest quartile's average self-estimated percentile is >55%. (*)
However, it strikes me that without a very careful explanation to the test subjects of exactly how their peer group was selected, it's easy to imagine everyone being wrong in the same direction.
(*) EDIT: I found a way to raise the intercept quite a lot simply by modeling that people with lower skill have higher variance (but no bias!) in their own skill estimation. This model is supported by another paper the article references.
- SomewhatLikely 5y agoWouldn't variance be influenced by a similar bounding effect but this time from the upper side? That is, if your true skill is 98% you aren't going to ever overestimate by more than 2%, but if your true skill is 50% you could be off by up to 50% in either direction.