Abstract
The E max model is a nonlinear model frequently used in dose–response analyses. The model is shown in Eq. (9.1)
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References
Angus, B.J., Thaiaporn, I., Chanthapadith, K., Suputtamongkol, Y., and White, N.J. 2002. Oral artesunate dose-response relationship in acute falciparum malaria. Antimicrobial Agents and Chemotherapy 46(3):778–782.
Bates, D.M., and Watts, D.G. 1988. Nonlinear Regression Analysis and Its Applications. New York: Wiley.
Boroujerdi, M. 2002. Pharmacokinetics: Principles and Applications. New York: McGraw Hill.
Davidian, M., and Giltinan, D. M. 1995. Nonlinear Models for Repeated Measurement Data. New York: Chapman and Hall.
Draper, N., and Smith, H. 1966. Applied Regression Analysis, 2nd ed. New York: Wiley.
Dutta, S., Matsumoto, Y., and Ebling, W.F. 1996. Is it possible to estimate the parameters of the sigmoid Emax model with truncated data typical of clinical studies? Journal of Pharmaceutical Sciences 85(2):232–239.
Girard P., Laporte-Simitsidis S., Mismetti P., Decousus H., and Boissel J. 1995. Influence of confounding factors on designs for dose-effect relationships estimates. Statistics in Medicine 14:987–1005.
ICH-E4 Guideline. 1998. Dose–Response Information to Support Drug Registration, Step 4. Web-site: http://www.ich.org/cache/compo/276-254-1.html
O’Connell M.A., Belanger, B.A., and Haaland, P.D. 1993. Calibration and assay development using the four-parameter logistic model. Chemometrics and Intelligent Laboratory Systems 20:97–114.
Pinheiro, J.C., and Bates, D.M. 2000. Mixed-Effects Models in S and S-PLUS. New York: Springer-Verlag.
Ruberg, S.J. 1995. Dose–response studies II. Analysis and interpretation. Journal of Biopharmaceutical Statistics 5(1):15–42.
SAS/STAT User’s Guide Version 8 Volumes 1–3. 1999. Cary NC: SAS Publishing.
Seber, G. F., and Wild, C.J. 2003. Nonlinear Regression. New Jersey: Wiley.
Senn, S. 1997. Statistical Issues in Drug Development. West Sussex, England: Wiley.
Sheiner, L.B., Beal, S.L., and Sambol, N.C. 1989. Study designs for dose-ranging. Clinical Pharmacology and Therapeutics 46:63–77.
Sheiner, L.B., Hashimoto Y., and Beal, S.L. 1991. A simulation study comparing designs for dose ranging. Statistics in Medicine 10:303–321.
Temple, R. 1982. Government viewpoint of clinical trials. Drug Information Journal 16: 10–17.
Temple, R. 2004. Where protocol design has been a critical factor in success or failure. Presentation at the DIA Annual Meeting June 14, 2004.
Vonesh, E.F. and Chinchilli,V.M. (1997) Linear and Nonlinear Models for the Analysis of Repeated Measurements. New York: Marcel Dekker.
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Macdougall, J. (2006). Analysis of Dose–Response Studies—Emax Model. In: Ting, N. (eds) Dose Finding in Drug Development. Statistics for Biology and Health. Springer, New York, NY. https://doi.org/10.1007/0-387-33706-7_9
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DOI: https://doi.org/10.1007/0-387-33706-7_9
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