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In frequentist hypothesis testing, the $p$-value is the probability of a result as extreme (or more) than the observed result, under the assumption that the null hypothesis is true.

17 votes

Is this the solution to the p-value problem?

This fine adjunct to the p-value debate, interesting but also somewhat stale in my opinion, reminds me of a unique paper published some years ago in the Christmas issue of the British Medical Journal …
7 votes
3 answers
37k views

Upper case (P) or lower case (p) to denote p-values and probabilities in frequentist and Bay...

I am conducting a study in which I am reporting results of hypothesis tests conducted in a frequentist framework, and also some additional analyses conducted in a Bayesian framework. Should I use upp …
Giuseppe Biondi-Zoccai's user avatar
2 votes

ASA discusses limitations of $p$-values - what are the alternatives?

My choice would be to continue using p values, but simply adding confidence/credible intervals, and possibly for the primary outcomes prediction intervals. There is a very nice book by Douglas Altman …
Giuseppe Biondi-Zoccai's user avatar
1 vote

Statistical significance, repeatability, and sample size (50 shades of grey)

You pose several important questions, some focusing on hypothesis testing, some on multiplicity, and so forth. These are my answers: The typical approach is to repeat the experiment analyzing every …
Giuseppe Biondi-Zoccai's user avatar