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[-] denkrishna@midwest.social 7 points 4 months ago

Correct me if I'm wrong but isn't the student t distribution a set of distributions that includes the normal distribution?

Because if so, it feels a little like saying "you can't even call something red unless you've confirmed that it's crimson"

[-] Bender_on_Fire@lemmy.world 11 points 4 months ago

The t-distribution approaches the normal distribution with increasing degrees of freedom. It is certainly more relevant in for example hypothesis testing, since t-Tests (variance is estimated from the data) is much more common than z-tests (variance is treated as fixed and coming from a normal distribution).

In all of statistics or probability theory, the normal theory is however way more influential.

Nonetheless, it's a cool bit of history where modern statistics got its roots. As a lover of both statistics and guinness, i approve!🍻

[-] driving_crooner@lemmy.eco.br 3 points 4 months ago

The t-student goes to the normal when your degrees of freedom get close to infinitum (in practice with 30 df they're practically the same).

this post was submitted on 29 Jul 2024
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