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https://astralcodexten.substack.com/p/ontology-of-psychiatric-conditions

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[reposted from\xa0here, with edits]

I.

Taxometrics is the study of whether psychiatric conditions are categorical or dimensional.

Something is\xa0categorical\xa0if it neatly, objectively separates into different groups. For example, consider humans and rabbits. If we take a mixed group containing some humans and some rabbits, and graph them along some variable like weight, it would probably look like this:

There\u2019s one big obvious group around 3 lbs (weight of the average rabbit) and another around 140 lbs (weight of the average human). Not a lot of subtletly here. If we used some other graphable variable \u2013 height, lifespan, IQ \u2013 we\u2019d probably get something similar.

Maybe the biggest rabbit in the world is bigger than the smallest human. That doesn\u2019t mean they\u2019re not two obvious categories. It just means they\u2019re two obvious categories with a tiny overlap. It happens.

If we wanted to be clever, we could create a multivariate distance measure that combines weight, height, lifespan, IQ, and lots of other ways humans and rabbits could differ, into a 0 \u2013 1 variable where 0 is \u201cmost rabbity\u201d and 1 is \u201cmost humanish\u201d. Probably these scores wouldn\u2019t overlap at all \u2013 if they did, it would mean there\u2019s some human who\u2019s more like a rabbit than some rabbit is, which would be pretty surprising. But even if this were true, it wouldn\u2019t change the fundamental finding that humans and rabbits are pretty different. Or to put it some other way, there\u2019s a fundamental hidden generator producing differences between humans and rabbits (in this case, the species difference).

By contrast, something is\xa0dimensional\xa0if it\u2019s just a spectrum and there\u2019s no obvious place to separate it into different groups. For example, consider tall people vs. short people. We take a general cross-section of the population, and graph them by height, and it would probably look like this:

There\u2019s no clear point where short people stop and tall people begin. Some people are a little taller than others, and other people taller still, and so on until you\u2019re at Yao Ming.