[HN Gopher] The Dunning-Kruger effect is autocorrelation
       ___________________________________________________________________
        
       The Dunning-Kruger effect is autocorrelation
        
       Author : ljosifov
       Score  : 179 points
       Date   : 2023-11-25 18:14 UTC (4 hours ago)
        
 (HTM) web link (economicsfromthetopdown.com)
 (TXT) w3m dump (economicsfromthetopdown.com)
        
       | Jensson wrote:
       | Psychologists using their pet theories to explain results and
       | then people taking that explanation as the truth when they should
       | really just look at the data is probably an as large problem as
       | the replication crisis.
        
       | glitchc wrote:
       | Geez, this is eye-opening. Thank you for sharing this.
        
       | tempestn wrote:
       | I don't buy this take, and this rebuttal does a better job than I
       | could of explaining why: https://andersource.dev/2022/04/19/dk-
       | autocorrelation.html
       | 
       | Basically, this autocorrelation take shows that if performance
       | and evaluation of performance were random and independent, you
       | would get a graph like the D-K one, and therefore it states that
       | the effect is just autocorrelation. But in reality, it would be
       | very surprising if performance and evaluation of performance were
       | independent. We expect people to be able to accurately rate their
       | own ability. And D-K did indeed show a correlation between the
       | two, just not as strong of one as we would expect. Rather, they
       | showed a consistent bias. That's the interesting result. They
       | then posit reasons for this. One could certainly debate those
       | reasons. But to say the whole effect is just a statistical
       | artifact because random, independent variables would act in a
       | similar way ignores the fact that these variables aren't expected
       | to be independent.
        
         | Jensson wrote:
         | The effect that the worst overestimate their skill is known
         | since before, that wasn't the main result of Dunning-Kruger.
         | The effect that the best underestimate their skill can be
         | chalked up to auto-correlation.
        
           | tempestn wrote:
           | The best don't tend to overestimate their skill; they
           | underestimate it. The D-K results show a consistent bias in
           | estimates toward (somewhere near) the mean. Hence an
           | overestimate at the bottom and an underestimate at the top.
        
             | Jensson wrote:
             | > The best don't tend to overestimate their skill; they
             | underestimate
             | 
             | I wrote the wrong word, I fixed it. The best can't
             | overestimate their rank, so of course that wasn't what I
             | meant.
        
             | anonymouskimmer wrote:
             | Dunning-Kruger posits this as a psychological effect, yes?
             | On the top half psychological effects such as imposter
             | syndrome could come in to play.
             | 
             | Have sociological factors such as being kind or big fish
             | little pond been considered as likely causes of the
             | misestimates?
        
         | svnt wrote:
         | The author of this assumes the conclusion in order to decide
         | how to analyze his data.
         | 
         | He cannot reasonably say both:
         | 
         | > we have a decision to make: what are we going to assume? How
         | are we going to quantify our surprise from the results?
         | 
         | > The first option is, as in the case of the state census, to
         | assume dependence between X and Y. I.e. to assume that,
         | generally, people are capable of self-assessing their
         | performance.
         | 
         | > The second option conforms with the Research Methods 101
         | rule-of-thumb "always assume independence." Until proven
         | otherwise, we should assume people have no ability to self-
         | assess their performance.
         | 
         | > It seems to me glaringly obvious that the first option is
         | much, much more reasonable than the second.
         | 
         | -- and -
         | 
         | > most notably the claim that the more skilled people are, the
         | better they are at self-assessing their performance. This
         | result is supported by their plot, but in any case, my issue is
         | not with objections to this claim
         | 
         | and then expect to carry any credibility.
         | 
         | The author of this piece both suggests that a key variable is
         | fixed and later admits it varies within the same dataset.
         | 
         | I guess at least they admit it, but this lacks basic self-
         | consistency.
        
           | Jensson wrote:
           | > The author of this piece both suggests that a key variable
           | is fixed and later admits it varies within the same dataset.
           | 
           | I don't see how that variable changes, here is an example how
           | the error variable can be exactly the same for everyone and
           | reproduce the results:
           | 
           | Lets say the overconfidence is always that you feel 50% of
           | those better than you are actually worse than you. So
           | everyone is equally overconfident, just that the top wont
           | move their own placings as much as the bottom since there are
           | much fewer people that they can mistake being worse than
           | them. Then apply noise to this and you get the graph Dunning-
           | Kruger got.
           | 
           | You could say "But they are better at estimating their
           | rank!", but that is just a mathematical artefact, it isn't a
           | psychological result. Even if everyone always guessed that
           | they are number 1, the better you are the better your guess
           | will be, but in that case it is easy to see that everyone
           | overestimates their skill in the same way instead of the
           | better people having a fundamentally different way of
           | evaluating themselves.
        
         | atleastoptimal wrote:
         | The issue is people have differing personal definitions of
         | Dunning Kruger. The generally demonstrated effect in the sample
         | of people Dunning and Kruger analyzed was "people tend to
         | estimate the percentile of their own skill as closer to the
         | average than it really is, with a slight bias towards an above-
         | average mean. This leads to overestimation of relative ability
         | by those in lower percentiles, and the opposite for those in
         | higher percentiles"
         | 
         | However when people cite Dunning Kruger in popular culture they
         | mean "below average people think they're above average, and
         | above average people assume they're below average", which was
         | not shown in the original study, and wouldn't show up in an
         | analysis attempting to justify it via a misunderstanding of
         | autocorrelation.
         | 
         | The general point in the rebuttal is correct. A completely
         | noisy graph of people's estimations of their own ability would
         | show a Dunning-Kruger resembling residual graph (x-y vs x).
         | However, one wouldn't expect people in the 1st percentile to
         | have an equal distribution of perceived skill as people in the
         | 50th or 99th percentile. If that were true, it would be worth
         | reporting.
        
           | ShamelessC wrote:
           | > "below average people think they're above average, and
           | above average people assume they're below average"
           | 
           | There's no way to know if you're wrong, but when I see it
           | used it seems to be pointing out - "some (not all) under
           | qualified people tend to defer to their own beliefs rather
           | than the views/statements from experts, even when that is
           | demonstrably silly."
        
             | staunton wrote:
             | Which also has nothing at all to do with this study by
             | Dunning and Kruger. So you agree with the general point of
             | parent.
        
               | ShamelessC wrote:
               | Yes. Just clarifying a small disagreement about the pop-
               | sci interpretation of the phrase.
        
         | crazygringo wrote:
         | Yup. Assuming the sample sizes are statistically significant,
         | the original paper clearly shows:
         | 
         | - On average, people estimate their ability around the 65th
         | percentile (actual results) rather than the 50th (simulated
         | random results) -- a significant difference
         | 
         | - That people's self-estimation _increases with their actual
         | ability_ , but only by a surprisingly small degree (actual
         | results show a slight upwards trend, simulated random results
         | are flat) -- another significant difference
         | 
         | The author's entire discussion of "autocorrelation" is a red
         | herring that has nothing to do with anything. Their randomly-
         | generated results do _not_ match what the original paper shows.
         | 
         | None of this really sheds much light on to what degree the
         | results can be or have been robustly replicated, of course. But
         | there's nothing inherently problematic whatsoever about the way
         | it's visualized. (It would be nice to see bars for variance,
         | though.)
        
         | IAmGraydon wrote:
         | So what we have here is some scientists trying to prove that
         | the Dunning-Kruger effect doesn't exist and instead they give
         | us a perfect example of the Dunning-Kruger effect.
        
           | wyldfire wrote:
           | > The irony is that the situation is actually reversed. In
           | their seminal paper, Dunning and Kruger are the ones
           | broadcasting their (statistical) incompetence by conflating
           | autocorrelation for a psychological effect. In this light,
           | the paper's title may still be appropriate. It's just that it
           | was the authors (not the test subjects) who were 'unskilled
           | and unaware of it'.
        
         | t_mann wrote:
         | I was surprised by the figure from the original article, imho
         | that's the strongest rebuttal: perceived ability grows strictly
         | mononotonically with actual ability, no sign of the famous non-
         | monotonic U-curve. Yeah, the slope is less than one, and it
         | grows a bit faster from the second to the third quartile than
         | from the first to the second, but none of that changes the fact
         | that people tend to slot themselves correctly. The chart is
         | interesting in that it confirms that everyone perceives
         | themselves to be slightly above average in terms of ability,
         | which of course can't be true in practice. But what it also
         | shows is that when they think they'll be below or above that
         | (false) baseline, they're actually correct about it. So pretty
         | much the exact opposite of what the Dunning-Kruger effect
         | claims.
        
       | dmbche wrote:
       | Isn't it ironic that they fooled themselves?
        
         | ulizzle wrote:
         | It was actually hilarious but I don't think many people here
         | got the irony
        
       | lencastre wrote:
       | Wasn't this DK effect already debunked?
        
         | jahewson wrote:
         | I don't know much about it but I'm sure you're right.
        
         | hasch wrote:
         | Article mentions 2016 somewhere. They explain a bit on top of
         | that, with more depth ... at least my rough take on this
        
         | xbar wrote:
         | Yes. This article highlights the 2016, 2017 and 2020 debunkings
         | of DK. But it hangs on as an oft repeated scientific fallacy.
         | 
         | The fact that anyone has to ask if it has debunked shows how
         | desirable some people find the DK myth. Even in the comments
         | here, people are not willing to be skeptical of DK. That's
         | interesting psychology.
        
         | mrkeen wrote:
         | Yes but some claim to have debunked the debunking also. [1]
         | 
         | This paper (2023) claims "the magnitude of the effect was
         | minimal; bringing its meaningfulness into question." [2]
         | 
         | [1] https://andersource.dev/2022/04/19/dk-autocorrelation.html
         | 
         | [2]
         | https://www.sciencedirect.com/science/article/abs/pii/S01602...
        
       | pie_flavor wrote:
       | This take is a perfect example of Dunning-Kruger itself,
       | ironically. https://andersource.dev/2022/04/19/dk-
       | autocorrelation.html
        
         | dahart wrote:
         | How so? DK shows a positive correlation between confidence and
         | competence.
        
       | mewpmewp2 wrote:
       | My take on Dunning Kruger:
       | 
       | 1. People really like the idea of smart people being humble and
       | arrogance meaning stupidity, so they like to believe that DK is
       | true, and they like to repeat this.
       | 
       | 2. Some smart/skilled people are humble, some are arrogant.
       | 
       | 3. Some smart/skilled people underestimate their skills, some
       | overestimate.
       | 
       | 4. Some stupid people are humble, some are arrogant.
       | 
       | 5. Some stupid people underestimate their skills, some
       | overestimate.
       | 
       | Overall, even if there is a correlation, you can't tell by just
       | arrogance of a person whether we are dealing with DK or whether
       | it's an effect at all. People's personalities, skills and
       | everything are a bit more complex than that.
       | 
       | Overall bringing DK up seems like some sort of social
       | justice/fairness effort rather than something that is actually
       | true given any situation where someone is arrogant.
        
         | spacebacon wrote:
         | Maybe this shows how effective dumb people are at keeping smart
         | people hammered down with thought stopping arguments.
        
       | greenthrow wrote:
       | Lmao this article is an example of Dunning-Kruger at work. The
       | author thinks they have found and are revealing something but
       | they are just failing to fully understand the subject. Amazing.
        
         | flappyeagle wrote:
         | Try reading the article again and understanding the argument.
        
           | greenthrow wrote:
           | Oh I did. Completely.
        
       | joefourier wrote:
       | So from my understanding, the Dunning-Kruger Effect paper doesn't
       | show the distribution of the perceived test scores nor the
       | standard deviation, only an average, which rises with actual test
       | score level.
       | 
       | If they showed the spread bar in each bin, you could form very
       | different conclusions. Do low skilled people consistently
       | estimate their score at around 60, or do they give effectively
       | random results centred around 60?
       | 
       | Assuming the latter, it could mean that low skilled individuals
       | are completely unable to evaluate their performance while higher
       | skilled people are slightly better at it but still not very good,
       | giving a slightly positive correlation which... is very distinct
       | from what the DK effect implied.
        
       | xanderlewis wrote:
       | Naive take: I've always felt like Dunning-Kruger is just the
       | result of the fact that when guessing the value of anything
       | people tend towards some common mean, and so if the true value is
       | low your guess tends to be high, and vice versa. This assumes
       | nothing about what is being guessed, but does assume (perhaps
       | wrongly) that there is a commonly believed mean value and that
       | people tend to imagine they are close to it.
        
         | wavemode wrote:
         | That's essentially the plain-language interpretation of what
         | the author of this article is pointing out - when you plot
         | (actual score) against (difference between test score and
         | actual score), you will always find a trend that
         | underperformers overestimate and overperformers underestimate -
         | for the exact reason you state.
        
       | r0uv3n wrote:
       | The discussion between Nicolas Boneel and the author in the
       | comments of the article is interesting and Nicolas expresses the
       | doubts I had when reading this. The whole point of the DK effect
       | is that people are bad at estimating their skill, so if you
       | assume that they randomly guess their skill level then of course
       | you will replicate the results.
       | 
       | The correct model for a world without DK should be something like
       | (estimated test scores)=(actual test scores)+noise, and then the
       | only form of spurious DK you'd expect is caused by the fact that
       | there's a minimum and maximum test score. But this effect would
       | be proportional to the variance of the noise, and I assume the
       | variance on the additional dataset is too low to fully understand
       | the effect seen there.
       | 
       | Also, in this model on average everyone should still guess
       | correctly in which half of the distribution they are, but even
       | the bottom quartile seemed to estimate their abilities as above
       | the 50th percentile
        
         | svnt wrote:
         | Just because the data appear random doesn't mean you've gotten
         | at the cause though.
         | 
         | From those charts it could equally be low skill throughout, or
         | something nuanced like lack of skill at estimating at the
         | bottom, improving skill in estimating through the middle, and
         | high skill and learned modesty at the top.
        
         | Jensson wrote:
         | > Also, in this model on average everyone should still guess
         | correctly in which half of the distribution they are, but even
         | the bottom quartile seemed to estimate their abilities as above
         | the 50th percentile
         | 
         | Depends on the noise applied. If the noise is -10% to +100% for
         | everyone then you get roughly the graph Dunning-Kruger got. So
         | there is no reason to believe that the best are better at
         | estimating their abilities, just that you can't estimate your
         | own rank as better than the best.
        
           | tempestn wrote:
           | That's a great observation. For what it's worth though, it
           | does seem logical to me that the best would also be best at
           | estimating their skill. Not necessarily because they're
           | better at it per se (though there's likely some of that too,
           | for the reasons originally posited by D-K), but also because
           | they have an easier problem to solve. When you know something
           | well, it's fairly obvious that that's the case. (Think of the
           | experience of acing a math test. It's entirely possible you'd
           | know you answered everything correctly.) When you struggle
           | somewhat though, it's much more difficult to estimate how
           | much you're struggling compared to how others would fare.
        
       | hn_throwaway_99 wrote:
       | Previous discussion:
       | https://news.ycombinator.com/item?id=31036800
        
       | bitshiftfaced wrote:
       | The authors did "X - Y vs X," but that's not even the biggest
       | problem. The authors subtracted two measures that had been
       | transformed and bounded from 0 to 1 (think percentiles). What
       | happens at the extremes of those bounds? How much can your top
       | performers overestimate their performance? They're almost at 1
       | already, so not much. If they were to overestimate and
       | underestimate at the same rate and by the same magnitude in terms
       | of raw values, the ceiling effect on the transformed values means
       | that the graph will make it look like they underestimate more
       | often. The opposite problem happens for the worst performers.
       | 
       | See "Random Number Simulations Reveal How Random Noise Affects
       | the Measurements and Graphical Portrayals of Self-Assessed
       | Competency." Numeracy 9, Iss. 1 (2016), particularly figures 7,
       | 8, and 9.
        
         | anonymouskimmer wrote:
         | This can be dealt with to an extent by truncating the extreme
         | ends. Even the middle quartiles in the graphs in the linked
         | article show the same trends.
        
         | ImaCake wrote:
         | Thanks for stating just how much of a statistical minefield
         | this is. The reference does a great job showing just how wrong
         | the DK studies are. Unfortunately, most people have already
         | made up their minds and are happy to link conflicting blog
         | posts as evidence.
        
           | Probiotic6081 wrote:
           | Probably in another year or two they'll find another
           | statistic that will render the old one moot like again and
           | again.
        
         | dclowd9901 wrote:
         | I think if people at all levels of skill were reasonably good
         | at measuring their own ability, we would see two curves that
         | roughly overlap. Instead we see the graph given.
         | 
         | The fact that random noise can generate a mean curve on the Y
         | axis doesn't mean DK doesn't exist. It just means DK's mean
         | self analysis resembles a middling random mean, which if you
         | think about it, makes sense. Most people will probably self
         | evaluate as average, regardless of their actual skill. This
         | means DK is right as rain.
        
         | SamBam wrote:
         | Exactly, that was my thought. How would it be _possible_ to get
         | anything other than the D-K effect, even if it wasn 't just
         | averaging to the mean?
         | 
         | The lowest quartile can't say they're below the lowest
         | quartile, so any error at all will be counted as
         | "overconfidence." The top quartile can't say they're above the
         | top quartile, so any error at all will be counted as
         | "underconfidance."
        
       | chiefalchemist wrote:
       | DK for me is simply: "You don't know what you don't know." When
       | that happens, it's easy - surprise, surprise! - to misjudge your
       | skill level. In a way, it almost feels cruel to ask someone with
       | too few points of reference to say how much they know. The fact
       | is whether high, low, or in the middle...they are guessing.
       | 
       | On the other hand, with enough experience the depth and breadth
       | of your context improves, as it should. At that point, mis-self-
       | assessment is the result of arrogance, bravado, etc. That's a
       | different problem than simply not knowing.
       | 
       | If nothing else, DK has a case of apple v oranges.
        
       | thewanderer1983 wrote:
       | The Dunning-Kruger effect isn't as the article first quotes. It's
       | an effect that everyone experiences. We as humans tend to over
       | simplify things we don't understand well or at all. Therefore we
       | over estimate our expertise on these subjects. We also tend to
       | under estimate how much an expert on subjects we do know well.
       | Everyone does this. It's not just dumb people.
        
         | Jensson wrote:
         | > We also tend to under estimate how much an expert on subjects
         | we do know well
         | 
         | Any evidence for this, except Dunning-Kruger? To me it looks
         | like everyone overestimates themselves. There are a lot of
         | professionals who think they are undervalued and that people
         | worse than them gets all the rewards and fame.
        
       | vismwasm wrote:
       | The author measures the Dunning Kruger effect on his random data
       | exactly because he assumes it when generating his random data.
       | 
       | By modelling skill and perceived skill as uniform draws between 0
       | and 100, the unskilled (e.g. skill=0) will over-estimate their
       | skills (estimated skill = 50, the mean on the uniform random
       | variable) and the skilled (e.g. skill=100) will underestimate it
       | (as 50 as well, again the mean of the same random variable). The
       | only ones who will be correct (on average) are the average
       | skilled ones (skill=50).
        
       | beltsazar wrote:
       | I don't know if I agree that it's an autocorrelation, but one way
       | to explain The Dunning-Krugger Effect is by acknowledging this
       | simple fact:
       | 
       | Most people think that they are an average person, but they can't
       | be all average--there must be some people substantially below the
       | median. Therefore, those people must overestimate their
       | abilities.
       | 
       | This also applies to other aspects, such as attractiveness. Less
       | attractive people would overestimate their attractiveness.
        
         | anonymouskimmer wrote:
         | For all of the tests and rebuttals of the Dunning-Kruger effect
         | the people tested are not drawing from the totality of other
         | people, but trying to compare themselves solely to those who
         | also took the same test.
         | 
         | Anyone in a position to take such a test is almost guaranteed
         | to be above average compared to the general population (which
         | includes babies for intellectual tests, or the extremely old
         | for attractiveness tests).
         | 
         | I think this complicates personal evaluation.
        
       | salty_biscuits wrote:
       | It's just correlation, why do they keep calling it
       | autocorrelation.
        
       | snarkconjecture wrote:
       | Nonstandard terminology warning: the author is using
       | "autocorrelation" in a way I've never seen before. There is a
       | much more common usage of "autocorrelation" to refer to the
       | correlation of a timeseries with itself (shifted by some amount).
       | 
       | If you use autocorrelation to refer to the thing in OP, you'll
       | probably confuse people who know statistics, and vice versa.
        
       | anonymouskimmer wrote:
       | > If the Dunning-Kruger effect were present, it would show up in
       | Figure 11 as a downward trend in the data (similar to the trend
       | in Figure 7). Such a trend would indicate that unskilled people
       | overestimate their ability, and that this overestimate decreases
       | with skill. Looking at Figure 11, there is no hint of a trend.
       | 
       | There certainly _is_ a hint of a trend. Why do people, when
       | visualizing data with a distinct trend, say that because the
       | "error bars" from a particular statistical test overlap zero that
       | no trend exists!?
       | 
       | Freshman _trend_ to over-confidence. Grad students _trend_ to
       | under-confidence. Undergrads in general _trend_ to over-
       | confidence (though this trend decreases as year in school
       | increases), and post-graduates, whether grad students or
       | professors, trend to under-confidence.
       | 
       | These "trends" are not statistically significant, but they
       | certainly are a trend!
       | 
       | Also, the random data distribution in figure 9 doesn't show the
       | same trends as Dunning-Kruger's curve in figure 2. Perhaps there
       | is at least one psycho-social mechanism here worth investigating?
        
         | mrkeen wrote:
         | > These "trends" are not statistically significant, but they
         | certainly are a trend!
         | 
         | This is an oxymoron.
        
           | Dylan16807 wrote:
           | Oxymorons only sound contradictory on a surface level.
           | 
           | Something "certainly" being a "trend" is the definition of
           | statistical significance, so this is a straight up
           | contradiction.
        
             | anonymouskimmer wrote:
             | See here: https://news.ycombinator.com/item?id=38416858
             | 
             | "Trend" has multiple meanings. Statistics doesn't get to
             | claim all of the meaning.
        
           | anonymouskimmer wrote:
           | Show how.
           | 
           | I place mechanistic theory prior to statistics in science.
           | Mechanistic theory can be tested, statistics are a kind of
           | test.
           | 
           | If a statistically-insignificant result shows consistent,
           | though non-significant deviations, such as the kind seen in
           | Figure 11, then it tells me it's worth investigating whether
           | mechanism(s) are explaining a very small portion of the
           | variation that will not, in itself, show up as statistically
           | significant, as it's being swamped by variation in other
           | parameters.
        
             | Dylan16807 wrote:
             | Consistency is a synonym for statistical significance. If
             | there's consistency beyond random alignment, then there
             | should be a statistical test you can apply over your data
             | to extract the signal.
             | 
             | You can extract surprisingly small signals relative to
             | variation in other parameters. But if it's _actually_
             | swamped, then it might not be real, so go get more data.
        
               | anonymouskimmer wrote:
               | > Consistency is a synonym for statistical significance.
               | 
               | So basically you're telling me that if I can visually see
               | a consistency that does not show up in their statistical
               | test, then they aren't running an appropriate statistical
               | test on what I'm seeing.
               | 
               | > But if it's actually swamped, then it might not be
               | real, so go get more data.
               | 
               | Even better to design other experiments.
        
               | Dylan16807 wrote:
               | > So basically you're telling me that if I can visually
               | see a consistency that does not show up in their
               | statistical test, then they aren't running an appropriate
               | statistical test on what I'm seeing.
               | 
               |  _Either_ they 're not doing the right statistics, _or_
               | it 's a "consistency" that is much more likely to show up
               | randomly than you naively expect, and the study needs to
               | be repeated or enhanced.
               | 
               | Sometimes you can see a pattern that's just a figment of
               | chance. See also: numerology, jelly bean xkcd
        
         | Dylan16807 wrote:
         | If they're actually error bars, you can shrink them with more
         | data. That will turn the hint of a trend into an observation of
         | a trend. If it wasn't random noise giving a fake hint.
        
           | anonymouskimmer wrote:
           | > If they're actually error bars, you can shrink them with
           | more data.
           | 
           | Assuming the new data has the same systemic or instrumental
           | bias as the old data. Even using a different test date could
           | skew results enough to widen the error bars.
        
       | abnry wrote:
       | If there is a linear relationship between test score (X, ability)
       | and test score self-assessment (Y, self-perception), then the
       | random variables are modeled as:
       | 
       | $$ Y \sim aX+b+N $$
       | 
       | Where N is some statistically independent noise, mean zero.
       | 
       | This means the covariance between them is
       | 
       | $$ Cov(Y-X,X) = E[ ((a-1)X+b+N -(a-1)E[X]-b) (X - E[X]) ] $$
       | 
       | Which is
       | 
       | $$ Cov(Y-X,X) = E[(a-1)(X-E[X])(X-E[X])] + E[N(X-E[X])]= (a-1)
       | Var[X] $$
       | 
       | To get a "DK effect" we need (a-1) < 0, or a < 1. If a=0, in the
       | case of the blog post, then this is absolutely true. If a=1
       | (which, along with b=0, is the ideal scenario), then this is
       | barely not true. If a > 1, then we'd have a whole new effect
       | about arrogant experts.
       | 
       | So the only thing that matters from this "auto-correlation
       | perspective" is the rate at which an individual's self-assessment
       | increases with their ability. As long as they underestimate the
       | increase, a "DK effect" will occur.
       | 
       | However, in the above analysis, we ignored the variable b. If a =
       | 0.8 and b=0, we'd never have the so-called "DK effect" even
       | though it matches the "auto-correlation perspective" because
       | everyone would underestimate their ability.
       | 
       | This tells me that the value of b matters. It is sort of like the
       | prior ability everyone assumes they have. What the DK papers
       | shows is that b > .5, which I think is in line with the spirit of
       | the popular interpretation of the "DK effect". People should not
       | be assuming they have, at a minimum, a capacity higher than the
       | average.
       | 
       | At the same time, the value b isn't insanely higher than .5,
       | which also makes me want to cut those unskilled and unaware some
       | slack. It "seems reasonable" to assume your baseline is average.
       | That can't be the case, but it feels intuitive.
        
       | concordDance wrote:
       | The author fails to make his point quite badly. Of course if
       | everyone's self assessment was random the bottom quartile would
       | overrate themselves! And that would be half of the Dunning-Kruger
       | effect and we could truthfully say "the bottom quartile of people
       | overrate themselves"!
       | 
       | The other part where those at the top have a better idea or where
       | they rank noticeably does not come out in his toy example.
       | 
       | Honestly, he comes across as not having the slightest
       | understanding of how people interpet those graphs...
        
       | im3w1l wrote:
       | It's fascinating how great Elo and similar ranking systems are at
       | curbing DK. You just get a number, and that's how good (bad) you
       | are. It's incredibly precise too, there's just no arguing with
       | it.
       | 
       | Also since the topic is D-K I'm a bit scared that I'm the fool
       | here, but isn't he misusing the term autocorrelation? What he
       | describes sounds like just normal correlation?
        
       | toasted-subs wrote:
       | Idk I genuinely feel like after having to deal with 10+ doctors
       | who all had different opinions. The last doctor finally made the
       | same conclusion as me and he was the last person I had to see.
       | 
       | There's always exceptions. And sometimes reading publications
       | pertaining to a very specific thing should give you more say on a
       | subject.
       | 
       | I just feel bad American tax payer money and the best years of my
       | life was spent on telling medical professionals they don't know
       | what they are talking about.
        
       | dclowd9901 wrote:
       | I think what this article is missing is "the chart DK should have
       | used."
       | 
       | Instead we get a spurious explanation that doesn't make a lot of
       | sense based on completely fabricated data. It's entirely natural
       | for something that looks like DK to emerge from randomized data,
       | especially when the Y axis is represented by some number of the
       | mean (actually 50ish in this case).
        
       | a-dub wrote:
       | i think of acf as a measure of repeating temporal structure and
       | how "strong" and "long" it is, if it exists.
       | 
       | that is, it gives you a notion of if and what order of an ar
       | model should fit any repeating structure in the data.
        
       | randomizedalgs wrote:
       | Consider the imaginary world that the author describes, in which
       | people's estimate of their score is independent of their actual
       | score. Wouldn't it be fair to say that, in this imaginary world,
       | the DK effect is real?
       | 
       | The point of the effect is that people who score low tend to
       | overestimate their score and people who score high tend to
       | underestimate. Of course there are lots of rational reasons why
       | this could occur (including the toy example the author gave,
       | where nobody has any good sense of what their score will be), but
       | the phenomenon appears to me to be correct.
        
       | ezekiel68 wrote:
       | > However, there is a delightful irony to the circumstances of
       | their blunder.
       | 
       | Indeed. And I find the tendency of people in this comment section
       | to defend the flawed theory is further confirmation of another
       | scientific finding: that we decide based on emotion and then
       | justify our decision using rationality.
        
       | notShabu wrote:
       | every domain of expertise has two "elo" systems, the niche one
       | and the broader one.
       | 
       | e.g. you can learn basic juggling in 30 minutes that you are top
       | 10% of your friends/colleagues etc...
       | 
       | however within the juggling community itself this is known as the
       | "3 ball cascade" a really simple trick relative to the ones that
       | requires years to master. an outsider may not be able to tell the
       | difference between the 1 year expert and the 10 year master.
       | 
       | a lot dunning-kruger can be explained by people in one or the
       | other not understanding the other system
        
       | lopatin wrote:
       | Oh I read about the about the DK effect a while ago. I'm pretty
       | much an expert in Psychology now, AMA.
        
       | eagerpace wrote:
       | Is this the opposite of imposter syndrome?
        
       | markhahn wrote:
       | the numeric experiment does not produce a line identical to what
       | DK report. if DK's line where horizontal at 50%, it would indeed
       | be nothing but autocorrelation.
        
       | dahart wrote:
       | Most people, even here on HN, do not know what the DK effect
       | actually claimed to show. It does not show that confident people
       | are more likely to be incompetent. Their primary result shows a
       | positive correlation between confidence and supposed skill. (What
       | skill, you ask?*)
       | 
       | This article suggests DK is even simpler than autocorrelation,
       | that it's just regression toward the mean.
       | https://www.talyarkoni.org/blog/2010/07/07/what-the-dunning-...
       | 
       | I don't know which statistical artifact it is, but I am quite
       | convinced that the so-called DK effect is not demonstrating
       | something interesting about human psychology, I don't buy that
       | this is a real cognitive bias. I've read the paper several times,
       | and the methodology seems to be lacking rigor. They tested a
       | small handful of Cornell undergrads volunteering for extra
       | credit, not a large sample, not the general population, and
       | tested _nobody_ who actually fits the description of
       | 'incompetent' in a meaningful way. They primarily measured how
       | people rank each other, not what their absolute skill was - and
       | ranking each other requires speculating on the skills of others.
       | There are obvious bias problems with asking a group of pampered
       | Ivy League kids how well they think they rank.
       | 
       | * One of the four "skills" they measured was ability to get a
       | joke - "appreciation of humor" - Huh? This is subjective! The
       | jokes used aren't given in the paper, either. Another was
       | 'grammar' tests.
        
       | TrackerFF wrote:
       | The DK effect has gotten WAY more cred than it should. Today, it
       | is just anoter feel-good piece that people use to justify their
       | feeling that they're (ironically) surrounded by loud idiots.
        
       | austin-cheney wrote:
       | The best way to differentiate DK from autocorrection is motive.
       | Low performance people will focus on motives that reinforce the
       | perception of their competence, for example preferring code style
       | over code delivery because while both may be arguably important
       | one requires less effort and risk to attain.
       | 
       | There is research to qualify this out of Stanford. People will
       | shift motives to attain complements and the types of compliments
       | received will dictate the challenges they are willing to accept.
       | When a compliment is specific to an action and measurable people
       | will strive for continuously more challenging tasks to
       | continually receive specific compliments. When compliments are
       | generic and directed to the person they will tend to preference
       | progressively less challenging tasks so that they continue to
       | shine relative to the attempted effort. The differences in
       | behavior produces a natural Dunning-Kruger effect wherein people
       | seeking less qualified activities are more likely to over
       | estimate their potential and degree of success.
       | 
       | This also statistically verified in research that correlates
       | predictions to confidence. The more confidence a person is in
       | their predictions, such as political talk radio hosts, the less
       | accurate their predictions tend to be.
        
       | James_K wrote:
       | I think the issue here is a confusion about what "bias" means. If
       | they are self-assessing at random, then the high performers will
       | all underestimate themselves, but this is not a bias towards
       | underestimation as they are choosing randomly.
       | 
       | That said, the chart from D-K seems to show a different bias and
       | line up roughly with what you would expect. Someone with no
       | knowledge assumes they are average skill and hence inflates their
       | position, someone who is very good doesn't want to rate
       | themselves the best because they assume others know as much as
       | they do. The assumption underlying both groups is that you are
       | normal and others are similar to you.
       | 
       | I hypothesise that most people think they're average, which is
       | something you could easily test by asking them to rate how well
       | they think the average person would do on a test and comparing it
       | to that individual's test score. I'm almost certain that high
       | performers will overestimate the average, and low performers
       | underestimate it.
        
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