bi2diffac {EQUIVNONINF}R Documentation

Determination of a corrected nominal significance level for the asymptotic test for equivalence of two unrelated binomial proportions with respect to the difference δ of their population counterparts

Description

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

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

Author(s)

Stefan Wellek <stefan.wellek@zi-mannheim.de>
Peter Ziegler <peter.ziegler@zi-mannheim.de>

References

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

Examples

bi2diffac(0.05,20,20,0.40,0.40,0.1,1e-6,1e-4,3)

[Package EQUIVNONINF version 1.0.2 Index]