sigtestCI: Universal Fisherian significance test with confidence...
In evidence: Analysis of Scientific Evidence Using Bayesian and Likelihood Methods

Description Usage Arguments Details Value Author(s) References Examples

Given a critical value alpha, this function performs a Fisherian significance test of the null hypothesis at level p, reports the result of the test, as well as the lower and upper values of the corresponding confidence interval. See Kadane(2016) for the idea for this.

1	sigtestCI(p)

`p`	the desired significance level

Note that this function does not require any data: if a rare (as long as p is sufficiently small) event occurs, H[0] is deemed to be implausible, and rejected. If such an event does not occur, we can simply try to do the experiment again. A Neyman-Pearson hypothesis test does require data and also an alternative hypothesis. For a NP hypothesis test we can (and should) consider the power of the test (the probability of rejecting H[0] when H[a] is true).

A message informing the user if H0 was rejected or not and the lower and upper boundaries of the corresponding confidence interval.

Robert van Hulst

Kadane, J.B. 2016. Beyond hypothesis testing. Entropy 18, 199.

van Hulst, R. 2018. Evaluating Scientific Evidence. ms.