proportion (version 2.0.0)

errEX: Calculates error, long term power and pass/fail criteria for Exact method

Description

Calculates error, long term power and pass/fail criteria for Exact method

Usage

errEX(n, alp, phi, f, e)

Arguments

n

- Number of trials

alp

- Alpha value (significance level required)

phi

- Null hypothesis value

f

- Failure criterion

e

- Exact method indicator in [0, 1] 1: Clopper Pearson, 0.5: Mid P The input can also be a range of values between 0 and 1.

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

Details

Evaluation of Confidence interval for p based on inverting equal-tailed binomial tests with null hypothesis \(H0: p = p0\) using error due to the difference of achieved and nominal level of significance for the \(n + 1\) intervals

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

See Also

Other Error for base methods: PloterrAS, PloterrAll, PloterrBA, PloterrEX, PloterrLR, PloterrLT, PloterrSC, PloterrTW, PloterrWD, errAS, errAll, errBA, errLR, errLT, errSC, errTW, errWD

Examples

n=20; alp=0.05;phi=0.05; f=-2;e=0.5 # Mid-p
errEX(n,alp,phi,f,e)
n=20; alp=0.05;phi=0.05; f=-2;e=1 #Clopper-Pearson
errEX(n,alp,phi,f,e)
n=20; alp=0.05;phi=0.05; f=-2;e=c(0.1,0.5,0.95,1) #Range including Mid-p and Clopper-Pearson
errEX(n,alp,phi,f,e)