Very interesting article and statistical analysis, but I really don't see how it concludes that the DK effect is wrong based on the analysis. The fact that the DK effect emerges with _completely random data_ is not surprising at all - in this case the intuitive null hypothesis would be that people are good at estimating their skill, therefore there would be strong a correlation between their performance and self-eval…
I'll admit that part of it also comes from personal experience, at work and elsewhere. I've met some catastrophically incompetent people were completely oblivious to their own incompetence, and this has very often felt like that the more incompetent they were, the more likely they were to be try to do stuff that was waaaay out of their comfort zone, which would make even experienced, competent people tread carefully.
But even ignoring personal experiences, I'm not convinced by the arguments either. I understand what they are saying, but I don't see how this disproves the DK effect.
Even if everyone is equally bad at estimating their own skill, so that their estimate is essentially a completely random variable, then we would expect the self-assessment score average to be around 50. If I understand it correctly, this is essentially what figure 9 is demonstrating.
But that figure still says that worse performers are then likely to overestimate their own ability, just as much as it says that better performers are bad at it.
If we look at the original DK figure and contrast it with figure 9 with random data, then I think one way of interpreting the differences is that, yes, worse performers are indeed bad at self-assessment, but they're just kind of bad at it as if their self-assessment is a completely random variable. It then seems to keep being essentially random but as people's skills improve, the distance between their score and their self-assessment becomes a bit tighter.. so in conclusion: most people are pretty bad at self-assessment, but skilled people are a bit less so.
The end result is still that people in the bottom quartiles are going to over-estimate their own ability.
I don't know, maybe this is way out in the weeds. Please school me.