• @Knock_Knock_Lemmy_In
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    21 month ago

    If IQ is truly a normal distribution

    It’s not. Here’s a list containing a number of people above 200.

    However, no-one has a negative IQ.

    • @[email protected]
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      1 month ago

      I have to disagree.

      IQ as a measure of intelligence doesn’t work that way. The number can’t just get higher and higher because a person is really smart. A supreme, godlike intelligence doesn’t have an IQ of say, a million.

      IQ has a statistical definition and although intelligence may not follow a perfect normal distribution, IQ Score does.

      If there are about 8 billion humans, then 1 of them is “the smartest” in some way. 1/8,000,000,000 is 1.2x10^-10, this has a z score of 6.33.

      The current smartest person will have an IQ of (6.33x15)+100=195. No one has an IQ of 200. This isn’t because a person can’t be any smarter, it’s because this is how IQ is defined. If a pure, perfect, godlike intelligence exists in our current human population, their IQ is 195.

      • @Knock_Knock_Lemmy_In
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        11 month ago

        No one has an IQ of 200

        I linked to a list of many examples

        this has a z score of 6.33.

        Only if normal distributions are assumed. Clearly this assumption is incorrect.

        But we do agree that a negative IQ is impossible?

        • @[email protected]
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          11 month ago

          You provided a link to reader’s digest. It’s not the most credible reference.

          A negative IQ score and an IQ score above 200 would be possible with larger populations.

          • @Knock_Knock_Lemmy_In
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            1 month ago

            A 200+ IQ is possible with a small population. Normal distributions are not a physical law.

            I’m struggling to see how a negative IQ can be practically assessed.

            • @[email protected]
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              1 month ago

              I think the confusion is that IQ is not an objective measurement. It’s subjective.

              Its not like say, height, where you can have a normal distribution and then a statistical outlier.

              The IQ point isnt a constant, tangeable unit of measure, like an inch. Intelligence isn’t something you can put a ruler up to and say, oh that’s weird, this person has an IQ of 300 and is a statistical outlier.

              IQ is defined statistically. You use some method of claiming that each person has a certain ranking of intelligence. Then you use a defined mean and SD to determine what IQ value that corresponds to, in the context of everyone else in the population.

              • @Knock_Knock_Lemmy_In
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                11 month ago

                IQ is defined statistically.

                Yes, a ranking. Ideally the same test for the whole population.

                Then you use a defined mean and SD to determine …

                Here is your error. Limiting the description of the population distribution to only 2 parameters severely restricts the range of distributions that can be selected. Forcing the population distribution to be Normal is done for arithmetic convenience only. Not because intelligence must be normally distributed.

                • @[email protected]
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                  1 month ago

                  I’m not saying intelligence is a normal distribution. I’m saying that IQ scores are a normal distribution.

                  The metric, IQ is a normal distribution because that’s how the metric is defined.

                  I’d like to hear your explanation how an IQ of above 200 is possible and what that would actually mean.

                  Its only possible if there are about 10x more humans. With a population of around 80 billion, the smartest one person would have a z score of roughly 6.6 and an IQ of roughly 200. This is calculated from a mean of 100 and a standard deviation of 15, which is how it’s defined.

                  Here’s a reference from Wikipedia for you, which, itself, references many scientific journals:

                  " IQ scales are ordinally scaled.[81][82][83][84][85] The raw score of the norming sample is usually (rank order) transformed to a normal distribution with mean 100 and standard deviation 15.[3] While one standard deviation is 15 points, and two SDs are 30 points, and so on, this does not imply that mental ability is linearly related to IQ, such that IQ 50 would mean half the cognitive ability of IQ 100. In particular, IQ points are not percentage points "

                  So, as I’ve been saying, you just put everyone’s test scores in order from worst to best, calculate the z score of the person you’re interested in, multiply by the SD (15) and add the mean.

                  It is also the case that for populations over 80 billion, you can have negative IQ scores, using the same logic that was used for a person with an IQ of >=200.

                  • @Knock_Knock_Lemmy_In
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                    11 month ago

                    I’d like to hear your explanation how an IQ of above 200 is possible and what that would actually mean.

                    It means that the mean and standard distribution have been calibrated to a population, but that the population kurtosis is significantly non-normal

                    Its only possible if there are about 10x more humans.

                    Incorrect. It’s also possible if human intelligence isn’t normally distributed.

                    With a population of around 80 billion, the smartest one person would have a z score of roughly 6.6 and an IQ of roughly 200. This is calculated from a mean of 100 and a standard deviation of 15, which is how it’s defined.

                    Only if intelligence of the human population is normally distributed.

                    So, as I’ve been saying, you just put everyone’s test scores in order from worst to best,

                    No you don’t. You have invented this unnecessary step.

                    calculate the z score of the person you’re interested in, multiply by the SD (15) and add the mean.

                    No, because the “person” and the z score have no link.

                    It is also the case that for populations over 80 billion, you can have negative IQ scores, using the same logic that was used for a person with an IQ of >=200.

                    If a rock has zero intelligence, how can something score lower? Negative intelligence is impossible.

    • @shneancy
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      11 month ago

      any article that lists historical figures with even estimates their IQs can be discarded as bullshit. IQ has specific testing criteria and imo the most important part of it is its basis in general distribution - if we don’t know the IQ of the average peasant, we can’t know the IQ of Shakespeare

      besides, IQ is a borderline pseudo science to begin with. i was made to take an official IQ tests and the second i stepped out of the test room i started wondering how is this going to accuratly portray my “innate” intelligence when the vast majority of the things on the test can be learnt or otherwise trained to be better at

      • @Knock_Knock_Lemmy_In
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        1 month ago

        any article that lists historical figures with even estimates their IQs can be discarded as bullshit.

        There are people alive on that list.

        IQ is a borderline pseudo science

        The person above is trying to prove IQ legitimacy with normal distributions and confidence levels. I’m arguing against it.

        • @shneancy
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          11 month ago

          i have indeed noticed there are people alive on that list. But are you going to trust a source that states someone’s IQ to be literally outside of the possible scale when it also just makes shit up a few people down?

          i don’t think they’re trying to prove IQ’s legitimacy, just explain the way it’s calculated

              • @Knock_Knock_Lemmy_In
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                11 month ago

                This is repeating the same confusion.

                Calculating values from the normal distribution tells you nothing about the tail properties of human intelligence.

                • @shneancy
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                  21 month ago

                  yes, just as IQ tells you close to nothing about the properties of human intelligence! (only how good you are at taking IQ tests).

                  Consider this - what does being smart even mean? Does it mean you’re able to solve logic puzzles fast? Does it mean having a good memory? Does it mean being able to make good decisions? maybe it means being able to resolve interpersonal conflicts? or maybe being able to cook something amazing from scratch without a recepie?

                  IQ seems to be seen as some vague concept of the computational power of the brain, but only when it comes to logic puzzles and remembering things. What if someone’s brain’s computational power instead favours considering the interactions of various flavours to create outstanding dishes? or moving their body to dance the most mesmerising dances?

                  imagine you’re a scientist though! a man of science, logic and reason, living roughly at the same time IQ was standardised. And you are smart, all your friends think you’re smart - so you set the scale of the entirety of human intelligence to be measured with logic puzzles. Nothing else. All the other stuff is just some talent someone has…

                  but what if someone is talented at solving IQ tests? Does that mean they’re smart? if there is no discernible difference between someone who’s talented at solving logic puzzles, and someone who an IQ tests deems to be intelligent, does that mean only those who enjoy logic puzzles, and therefore have gotten a lot of practice in solving them, are smart?

                  another question - is it “cheating” if somebody trains for their IQ test? if someone trains their mind specifically to be better at them - will that person become more intelligent, or just more skilled at filling out IQ tests well? how can you spot a “cheater” like that?

                  where even is intelligence in the brain? where does it come from? your genetics? your upbringing? your environment? everything at once?

                  how do you measure something you can barely define? and why with logic puzzles? why not an interpretative dance to the sounds of noise jazz? why not the baking of a pavlova cake? or maybe a rap battle?

                  apologies for the long rant. IQ is not a scientific measurement, it’s a measurement of how likely you’re to do well on logic puzzles. and whoever popularised it and made it seem like the way to prove you’re better than others infuriates me. the above are my personal, more or less subjective, issues with the idea of IQ, i do recommend this video essay to understand how deeply flawed even the history of IQ is. There’s piles and piles of arguments against IQ, and very few in favour

                  • @Knock_Knock_Lemmy_In
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                    11 month ago

                    Agree with all of that. What annoys me is when properties of the normal distribution are used as “facts” about human intelligence.

                    I’m sure there are more people with 200+ IQ than with <0.

                    Reread my original statement and see if you still disagree