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[-] driving_crooner@lemmy.eco.br 43 points 3 months ago

Also, the t-studend distribution (way more important than the normal distribution imo) was born in a research lab for Guinness.

[-] BackOnMyBS@lemmy.autism.place 20 points 3 months ago

what‽ how is the student t distribution more important than the normal distribution?? you can't even use the t unless you've confirmed that you've got a normal! 📈📉

[-] denkrishna@midwest.social 7 points 3 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 3 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 3 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).

[-] driving_crooner@lemmy.eco.br 3 points 3 months ago* (last edited 3 months ago)

I argue that is more important because in practice you usually don't have enough samples (or can't resample) to use the normal distribution.

this post was submitted on 29 Jul 2024
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