bi2diffac: Determination of a corrected nominal significance level for...

In EQUIVNONINF: Testing for Equivalence and Noninferiority

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 <[e-mail]>
Peter Ziegler <[e-mail]>

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)

Example output

Loading required package: BiasedUrn
 alpha = 0.05   m = 20   n = 20   del1 = 0.4   del2 = 0.4   sw = 0.1   tolrd = 1e-06   tol = 1e-04   maxh = 3   NH = 3   ALPHA0 = 0.0125   SIZE0 = 0.01592495   ERROR = none

EQUIVNONINF documentation built on July 12, 2021, 5:08 p.m.