EQUIVNONINF (version 1.0.2)

bi2diffac: Determination of a corrected nominal significance level for the asymptotic test for equivalence of two unrelated binomial proportions with respect to the difference \(\delta\) of their population counterparts

Description

The program computes the largest nominal significance level which can be substituted for the target level \(\alpha\) without making the exact size of the asymptotic testing procedure larger than \(\alpha\).

Usage

bi2diffac(alpha,m,n,del1,del2,sw,tolrd,tol,maxh)

Arguments

alpha

significance level

m

size of Sample 1

n

size of Sample 2

del1

absolute value of the lower limit of the hypothetical equivalence range for \(p_1-p_2\)

del2

upper limit of the hypothetical equivalence range for \(p_1-p_2\)

sw

width of the search grid for determining the maximum of the rejection probability on the common boundary of the hypotheses

tolrd

horizontal distance of the left- and right-most boundary point to be included in the search grid

tol

upper bound to the absolute difference between size and target level below which the search for a corrected nominal level terminates

maxh

maximum number of interval halving steps to be carried out in finding the maximally raised nominal level

Value

alpha

significance level

m

size of Sample 1

n

size of Sample 2

del1

absolute value of the lower limit of the hypothetical equivalence range for \(p_1-p_2\)

del2

upper limit of the hypothetical equivalence range for \(p_1-p_2\)

sw

width of the search grid for determining the maximum of the rejection probability on the common boundary of the hypotheses

tolrd

horizontal distance of the left- and right-most boundary point to be included in the search grid

tol

upper bound to the absolute difference between size and target level below which the search for a corrected nominal level terminates

maxh

maximum number of interval halving steps to be carried out in finding the maximally raised nominal level

NH

number of interval-halving steps actually performed

ALPH_0

value of the raised nominal level obtained after NH steps

SIZE0

size of the critical region corresponding to \(\alpha_0\)

ERROR

error indicator answering the question of whether or not the sufficient condition for the correctness of the result output by the program, was satisfied

References

Wellek S: Testing statistical hypotheses of equivalence and noninferiority. Second edition. Boca Raton: Chapman & Hall/CRC Press, 2010, \(\S\) 6.6.6.

Examples

# NOT RUN {
bi2diffac(0.05,20,20,0.40,0.40,0.1,1e-6,1e-4,3)
# }