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MBTI is pure quackery. The only personality model shown to have any statistical legs whatsoever is the Big Five model and even that I have reservations about because it relies so heavily on subjective descriptors rather than measured quantities.

It is not pure quackery, you can make measurements on anything and use it for anything. The fact that it is not biologically "real" is a different thing.

I can make up a model for the human mind called there carboat model. It splits everyone up on a spectrum on how much they like boats and cars. Now I can use that model to make statistical assumptions about the people I measured. It bet the assumptions will have high accuracy on boat and car related matters.

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