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