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 Par. 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 (-\varepsilon,\varepsilon) 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 (-\varepsilon,\varepsilon) 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, Par. 10.3.3.

### Examples

po_pbibe(20,0.25,0.75,0.17451,0.04169, 10e-10,0.01,100)


[Package EQUIVNONINF version 1.0.2 Index]