Timeline for Should the t-statistic (not data) be normally distributed for using the t-test?
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| Dec 28, 2022 at 23:57 | comment | added | Demetri Pananos | If I could add some flavor here about the robustness...The central limit theorem and Berry-Esseen theorem can be used to justify the normality of the sample mean. In the non-normal case, the robustness of the test likely relies on the sample mean and sample variance being approximately independent. Indeed, the defn of the t-statisitc is made in terms of independent gaussian and ch-squared random variables. | |
| Dec 28, 2022 at 13:32 | history | answered | Dave | CC BY-SA 4.0 |