pow_abe: Confidence innterval inclusion test for average...

In EQUIVNONINF: Testing for Equivalence and Noninferiority

Description

Evaluation of the integral on the right-hand side of equation (10.11) of p. 317 of Wellek S (2010) Testing statistical hypotheses of equivalence and noninferiority. Second edition

Usage

pow_abe(m,n,alpha,del_0,del,sig)

Arguments

m	sample size in sequence group T(est)/R(eference)
n	sample size in sequence group R(eference)/T(est)
alpha	significance level
del_0	equivalence margin to the absolute value of the log-ratio μ^*_T and μ^*_R of the formulation effects
del	assumed true value of | \log(μ^*_T/μ^*_R) |, with 0≤δ < δ_0
sig	theoretical standard deviation of the log within-subject bioavailability ratios in each sequence group

Details

The program uses 96-point Gauss-Legendre quadrature.

Value

m	sample size in sequence group T(est)/R(eference)
n	sample size in sequence group R(eference)/T(est)
alpha	significance level
del_0	equivalence margin to the absolute value of the log-ratio μ^*_T and μ^*_R of the formulation effects
del	assumed true value of | \log(μ^*_T/μ^*_R) |, with 0≤δ < δ_0
POW_ABE	power of the interval inclusion test for average bioequivalence against the specific alternative given by (δ,σ)

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. 10.2.1.

Examples

pow_abe(12,13,0.05,log(1.25),log(1.25)/2,0.175624)

Example output

Loading required package: BiasedUrn
 m = 12   n = 13  alpha = 0.05    del_0 = 0.2231436    del = 0.1115718    sig = 0.175624    POW_ABE = 0.9241539

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