this post was submitted on 29 Jul 2024
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Similarly, the Guinness of the beer and the Guinness of the book of records are the same Guinness. Michelin started as a tire company when there were only approximately 4000 cars in all of France, their home country, and started the restaurant guide as a way of increasing demand for travel, and therefore cars, and therefore tires for cars. Guinness the brewery started the list of records as something to keep on hand to settle arguments in pubs
Also, the t-studend distribution (way more important than the normal distribution imo) was born in a research lab for Guinness.
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! 📈📉
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"
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!🍻
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).