mcnasc_ni: 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

mcnasc_ni(alpha,n,del0,sw,tol,maxh)

Arguments

alpha	significance level
n	sample size
del0	absolute value of the noninferiority margin for δ := p_{10}-p_{01}, with p_{10} and p_{01} denoting the probabilities of discordant pairs of both kinds
sw	width of the search grid for determining the maximum of the rejection probability on the common boundary of the hypotheses
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
n	sample size
del0	absolute value of the noninferiority margin for δ := p_{10}-p_{01}, with p_{10} and p_{01} denoting the probabilities of discordant pairs of both kinds
sw	width of the search grid for determining the maximum of the rejection probability on the common boundary of the hypotheses
ALPH_0	value of the corrected nominal level obtained after nh steps
SIZE_UNC	exact size of the rejection region of the test at uncorrected nominal level α
SIZE0	exact size of the rejection region of the test at nominal level α_0
NH	number of interval-halving steps actually performed

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. 5.2.3.

Examples

mcnasc_ni(0.05,50,0.05,0.05,0.0001,5)

Example output

Loading required package: BiasedUrn
 alpha = 0.05   n = 50   del0 = 0.05   sw = 0.05   alpha0 = 0.03125   SIZE_unc = 0.08287665  SIZE0 = 0.04824113   NH = 5

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