Category:Definitions/Frequential Inference

This category contains definitions related to Frequential Inference.
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Frequential inference is statistical inference based on the frequential theory of probability.

In hypothesis testing, this leads to tests, such as the $t$-test, as to whether data provide evidence for the hull hypothesis that it comes from a population with a parameter $\theta$, for example, having some predefined fixed value $\theta_0$.

The question posed and answered by this approach is:

"What is the probability, given by a $p$-value, of obtaining this or a more extreme (that is, unlikely) value of a relevant statistic obtained from the observed data when the hull hypothesis holds?"