p2minpp {evidence}

Conversion of a frequentist p-value to a lower bound of the posterior probability that the null hypothesis is true assuming equal odds of the null and the alternative

Description

This function computes the approximate lower bound to the posterior probability of the null hypothesis assuming equal odds of the null and the alternative. See Sellke et al.(2001) for the derivation, and note that the posterior probability of the null hypothesis is what many incorrectly assume the p-value is measuring.

Usage

p2minpp(p)

Arguments

p

the frequentist p-value (which has to be less than 1/e or 0.37)

Value

the approximate lower bound of the posterior probability of the null hypothesis

Note

the p-value should be less than 1/e (0.37).

Author(s)

Robert van Hulst

References

Sellke, T., Bayarri, M.J., and Berger, J.O. 2001. Calibration of p Values for Testing Precise Hypotheses. Am. Statistician 55(1) pp 62–71.

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

See Also

p2BF

Examples

p2minpp(p=0.05)