errBA: Calculates error, long term power and pass/fail criteria for Bayesian method
Description
Calculates error, long term power and pass/fail criteria for Bayesian method
Usage
errBA(n, alp, phi, f, a, b)
Arguments
n
- Number of trials
alp
- Alpha value (significance level required)
phi
- Null hypothesis value
f
- Failure criterion
a
- Beta parameters for hypo "p"
b
- Beta parameters for hypo "p"
Value
A dataframe with
delalp
Delta-alpha is the increase of the nominal error with respect to real error
theta
Long term power of the test
Fail_Pass
Fail/pass based on the input f criterion
method
Name of method - Quantile or HPD
Details
Evaluation of Bayesian Highest Probability Density
(HPD) and two tailed intervals using error due to the difference of achieved and
nominal level of significance for the \(n + 1\) intervals
for the Beta - Binomial conjugate prior model for the probability of success p
References
[1] 2014 Martin Andres, A. and Alvarez Hernandez, M.
Two-tailed asymptotic inferences for a proportion.
Journal of Applied Statistics, 41, 7, 1516-1529