EQUIVNONINF (version 1.0.2)

mcnemasc: Determination of a corrected nominal significance level for the asymptotic test for equivalence of two paired binomial proportions with respect to the difference of their expectations (McNemar setting)

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

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

Arguments

alpha

significance level

n

sample size

del0

upper limit set to \(|p_{10}-p_{01}|\) under the alternative hypothesis of equivalence, 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

upper limit set to \(|p_{10}-p_{01}|\) under the alternative hypothesis of equivalence, 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

NH

number of interval-halving steps actually performed

ERROR

error indicator messaging "!!!!!" if the sufficient condition for the correctness of the result output by the program was found violated

References

Wellek S: Testing statistical hypotheses of equivalence and noninferiority. Second edition. Boca Raton: Chapman & Hall/CRC Press, 2010, \(\S\) 5.2.2.

Examples

# NOT RUN {
mcnemasc(0.05,50,0.20,0.05,0.0005,5)
# }