EQUIVNONINF (version 1.0.2)

mcnempow: Exact rejection probability of the asymptotic test for equivalence of two paired binomial proportions with respect to the difference of their expectations (McNemar setting)

Description

The program computes exact values of the rejection probability of the asymptotic test for equivalence in the sense of \(-\delta_0 < p_{10}-p_{01} < \delta_0\), at any nominal level \(\alpha\). [The largest \(\alpha\) for which the test is valid in terms of the significance level, can be computed by means of the program mcnemasc.]

Usage

mcnempow(alpha,n,del0,p10,p01)

Arguments

alpha

nominal significance level

n

sample size

del0

upper limit set to \(|\delta|\) under the alternative hypothesis of equivalence

p10

true value of \(P[X=1,Y=0]\)

p01

true value of \(P[X=0,Y=1]\)

Value

alpha

nominal significance level

n

sample size

del0

upper limit set to \(|\delta|\) under the alternative hypothesis of equivalence

p10

true value of \(P[X=1,Y=0]\)

p01

true value of \(P[X=0,Y=1]\)

POW

exact rejection probability of the asymptotic McNemar test for equivalence at nominal level \(\alpha\)

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, p.84.

Examples

# NOT RUN {
mcnempow(0.024902,50,0.20,0.30,0.30)
# }