Talk:Statistical hypothesis testing

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Statistical hypothesis testing has been listed as a level-4 vital article in Mathematics. If you can improve it, please do. This article has been rated as B-Class.

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This article was the subject of a Wiki Education Foundation-supported course assignment, between 27 August 2021 and 19 December 2021. Further details are available on the course page. Student editor(s): Happyboi2489. Peer reviewers: Mumtaziah, Ajp256, 5740 Grant L.

Re-ordering the sections[edit]

The article currently has the example section sandwiched in between The testing process section and Definition of terms section, which I think is a little bit off. I think it would be helpful for the reader if the example section is ordered after the Common test statistic section.Happyboi2489 (talk) 15:37, 7 December 2021 (UTC)

Common test statistics[edit]

I corrected the erroneous last test, ("regression t-test") to a correct F-test. Harald Lang, 2015-11-29.

The testing process[edit]

This section is not correct - or at best, is misleading - when the null is not simple or the test statistic is discrete. If (at step 6 of the first procedure) you select a significance level (like 5%) without regard to the available significance levels or (with non-simple nulls) if the true parameter is not at the significance level boundary then the probability of being in the rejection region will generally be lower than that selected level. On the other hand, with a discrete statistic if you *do* select it with regard to the available significance levels (which is pretty rare among what seems to be common practice) in that procedure then it's no longer consistent with the p-value approach unless *that too* is selected in like fashion (which in common practice is considerably more rare again) -- the first would be exactly at a selected level and the second would not. So either steps 6 and 8 of the first procedure have an issue or the claim of equivalence of the second procedure has an issue.

Glenbarnett (talk) 06:27, 17 June 2020 (UTC)

History[edit]

I looked at the inline cited article by Zarbell and in no way does it say that Fisher started as a Bayesian. Bayes is not mentioned at all. Bayesian was not really an school within statistics until the 1950s. That part of the sentence should be removed. Mcsmom (talk) 20:38, 8 December 2020 (UTC)

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