Acknowledgement
Supported by : Hanshin University
References
- Anderson, S. and Hauck, W. W. (1990). Consideration of individual bioequivalence, Journal of Pharmacokinetics and Biopharmaceutic, 18, 259-273. https://doi.org/10.1007/BF01062202
- Best, N. G., Tan, K. K. C., Gilks, W. R. and Spiegelhalter, D. J. (1995). Estimation of population pharmacokinetics using the Gibbs sampler, Journal of Pharmacokinetics and Biopharmaceutics, 23, 407-435. https://doi.org/10.1007/BF02353641
- Carrasco, L. and Jover, L. (2003). Assessing individual bioequivalence using structural equation model, Statistics in Medicine, 15, 1619-1634.
- Chow, S. C., Shao, J. and Wang, H. (2003). Statistical test for population bioequivalence, Statistica Sinica, 13, 539-554.
- Daniels, M. D. and Kass, R. E. (1999). Nonconjugate Bayesian estimation of covariance matrices and its use in hierarchical models, Journal of the American Statistical Association, 94, 1254-1263. https://doi.org/10.2307/2669939
- Europian Medical Agency (2010). Guideline on the Investigation of Bioequivalence, Committee for Medicinal Products for Human Use, CPMP/EWP/QWP/1401/98 Rev. 1., London.
- Food and Drug Administration (1997). In Vivo Bioequivalence Studies Based on Population and Individual Bioequivalence Approached: Guidance for Industry, Center for Drug Evaluation and Research, Rockville, MD 20857.
- Food and Drug Administration (2003). Bioavailability and Bioequivalence Studies for Orally Administered Drug Products: General Considerations, Center for Drug Evaluation and Research, Rockville, MD.
- Gelman, A. (2006). Prior distributions for variance parameters in hierarchical models, Bayesian Analysis, 1, 515-533. https://doi.org/10.1214/06-BA117A
- Hauck, W. W. and Anderson, S. (1992). Types of bioequivalence and related statistical considerations, International Journal of Clinical Pharmacology, Therarp, and Toxicology, 30, 181-187.
- Hauschke, D., Steinijas, V. and Pigeot, I. (2007). Bioequivalence Studies in Drug Development: Methods and Applications, John Wiley & Sons, New York.
- Hobert, J. P. and Casella, G. (1996). The effect of improper priors on Gibbs sampling in hierarchical linear mixed models, Journal of the American Statistical Association, 91, 1461-1473. https://doi.org/10.2307/2291572
- Hsuan, F. C. and Reeve, R. (2003). Assessing individual bioequivalence with high-order cross-over designs: a unified procedure, Statistic in Medicine, 22, 2847-2860. https://doi.org/10.1002/sim.1382
- Hylsop, T., Hsuan, F. and Holder, D. J. (2000). A small sample confidence interval approach to access individual bioequivalence, Statistic in Medicine, 19, 2885-2897. https://doi.org/10.1002/1097-0258(20001030)19:20<2885::AID-SIM553>3.0.CO;2-H
-
Jung, G.-J., Lim, N.-K. and Park, S.-G. (2010). Individual bioequivalence tests under 3
${\times}$ 2 design, The Korean Journal of Applied Statistics, 23, 139-150. https://doi.org/10.5351/KJAS.2010.23.1.139 - Kass, R. E. and Natarajan, R. (2006). A default conjugate prior for variance components in generalized linear mixed models (Comment on article by Browne and Draper), Bayesian Analysis, 1, 535-542. https://doi.org/10.1214/06-BA117B
- Lee, S.-C. and Lee, D. (2002). Bayesian analysis of multivariate threshold animal models using Gibbs sampling. Journal of the Korean Statistical Society 31, 177-198.
- Lunn, D. J., Best, N., Thomas, A. and Wakefield, J. (2002). Bayesian analysis of population PK/PD models: General concepts and software, Journal of Pharmacokinetics and Pharmacodynamics, 29, 271-307. https://doi.org/10.1023/A:1020206907668
- Natarajan, R. and Kass, R. E. (2000). Reference Bayesian methods for general linear mixed models, Journal of American Statistical Association, 95, 227-237. https://doi.org/10.2307/2669540
-
Oh, H. S., Ko, S.-G. and Oh, M.-S. (2003). A Bayesian approach to accessing population bioequivalence in a 2
${\times}$ 2 crossover design, Journal of Applied Statistics, 30, 881-891. https://doi.org/10.1080/0266476032000117131 -
Shao, J., Chow, S. C. and Wang, H. (2002). Individual bioequivalence testing under
$2{times}3$ designs, Statistics in Medicine, 21, 629-648. https://doi.org/10.1002/sim.1056 - Tiao, G. C. and Tan, W. Y. (1965). Bayesian analysis of random-effects models in the analysis of variance. I. Posterior distribution of variance components, Biometrika, 52, 37-53. https://doi.org/10.1093/biomet/52.1-2.37
- Wang, C. S., Rutledge, J. J. and Gianola, D. (1994). Bayesian analysis of mixed linear models via Gibbs sampling with an application to litter size of Iberian pigs, Genetique, Selection, Evolution, 26, 91-115. https://doi.org/10.1186/1297-9686-26-2-91
- Zeger, S. L. and Karim, M. R. (1991). Generalized linear models with random effects; A Gibbs sampling approach, Journal of the American Statistical Association, 86, 79-86. https://doi.org/10.2307/2289717