| po_pbibe {EQUIVNONINF} | R Documentation |
Bayesian posterior probability of the alternative hypothesis of probability-based individual bioequivalence (PBIBE)
Description
Implementation of the algorithm presented in \S 10.3.3 of
Wellek S (2010) Testing statistical hypotheses of equivalence and
noninferiority. Second edition.
Usage
po_pbibe(n,eps,pio,zq,s,tol,sw,ihmax)
Arguments
n |
sample size |
eps |
equivalence margin to an individual log-bioavailability ratio |
pio |
prespecified lower bound to the probability of obtaining an individual
log-bioavailability ratio falling in the equivalence range |
zq |
mean log-bioavailability ratio observed in the sample under analysis |
s |
square root of the sample variance of the log-bioavailability ratios |
tol |
maximum numerical error allowed for transforming the hypothesis of PBIBE into a region in the parameter space of the log-normal distribution assumed to underlie the given sample of individual bioavailability ratios |
sw |
step width used in the numerical procedure yielding results at a level of accuracy specified by the value chosen for tol |
ihmax |
maximum number of interval halving steps to be carried out in finding the region specified in the parameter space according to the criterion of PBIBE |
Details
The program uses 96-point Gauss-Legendre quadrature.
Value
n |
sample size |
eps |
equivalence margin to an individual log-bioavailability ratio |
pio |
prespecified lower bound to the probability of obtaining an individual
log-bioavailability ratio falling in the equivalence range |
zq |
mean log-bioavailability ratio observed in the sample under analysis |
s |
square root of the sample variance of the log-bioavailability ratios |
tol |
maximum numerical error allowed for transforming the hypothesis of PBIBE into a region in the parameter space of the log-normal distribution assumed to underlie the given sample of individual bioavailability ratios |
sw |
step width used in the numerical procedure yielding results at a level of accuracy specified by the value chosen for tol |
ihmax |
maximum number of interval halving steps to be carried out in finding the region specified in the parameter space according to the criterion of PBIBE |
PO_PBIBE |
posterior probability of the alternative hypothesis of PBIBE |
Author(s)
Stefan Wellek <stefan.wellek@zi-mannheim.de>
Peter Ziegler <peter.ziegler@zi-mannheim.de>
References
Wellek S: Bayesian construction of an improved parametric test for probability-based individual bioequivalence. Biometrical Journal 42 (2000), 1039-52.
Wellek S: Testing statistical hypotheses of equivalence and
noninferiority. Second edition. Boca Raton: Chapman & Hall/CRC Press, 2010, \S 10.3.3.
Examples
po_pbibe(20,0.25,0.75,0.17451,0.04169, 10e-10,0.01,100)