88
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

A pool-adjacent-violators-algorithm approach to detect infinite parameter estimates in one-regressor dose–response models with asymptotes

, &
Pages 2545-2556 | Received 01 Dec 2012, Accepted 03 Apr 2013, Published online: 24 Apr 2013

References

  • Piegorsch WW, Bailer AJ. Statistics for environmental biology and toxicology. Boca Raton, FL: Chapman & Hall/CRC Press; 1997.
  • Buckley BE, Piegorsch WW. Simultaneous confidence bands for Abbott-adjusted quantal response models. Stat Methodol. 2008;5:209–219. doi: 10.1016/j.stamet.2007.08.001
  • Abbott WS. A method of computing the effectiveness of insecticide. J Econ Entomol. 1925;18:265–267.
  • Portier CJ. Biostatistical issues in the design and analysis of animal carcinogenicity experiments. Environ Health Persp. 1994;102(Suppl. 1):5–8. doi: 10.1289/ehp.94102s15
  • R Development Core Team. R: a language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing; 2005. ISBN 3-900051-07-0.
  • Wedderburn RWM. On the existence and uniqueness of the maximum likelihood estimates for certain generalized linear models. Biometrika. 1976;63:27–32. doi: 10.1093/biomet/63.1.27
  • Haberman SJ. Maximum likelihood estimates in exponential response models. Ann Stat. 1977;5:815–841. doi: 10.1214/aos/1176343941
  • Silvapulle MJ. On the existence of maximum likelihood estimators for the binomial response models. J Roy Stat Soc B. 1981;43:310–313.
  • Albert A, Anderson JA. On the existence of maximum likelihood estimates in logistic regression models. Biometrika. 1984;71:1–10. doi: 10.1093/biomet/71.1.1
  • Santner TJ, Duffy DE. A note on A. Albert and J. A. Anderson's conditions for the existence of maximum likelihood estimates in logistic regression models. Biometrika. 1986;73:755–758. doi: 10.1093/biomet/73.3.755
  • Lesaffre E, Albert A. Partial separation in logistic discrimination. J Roy Stat Soc B. 1989;51:109–116.
  • Clarkson DB, Jennrich RI. Computing extended maximum likelihood estimates for linear parameter models. J Roy Stat Soc B. 1991;53:417–426.
  • Kolassa JE. Infinite parameter estimates in logistic regression, with applications to approximate conditional inference. Scand J Stat. 1997;24:523–530. doi: 10.1111/1467-9469.00078
  • Buckley BE. Benchmark analysis under abbott-adjusted quantal response models [Ph.D. thesis]. Columbia, SC: University of South Carolina; 2006.
  • Silvapulle MJ, Sen PK. Constrained statistical inference: order, inequality and shape constraints. New York: John Wiley & Sons, Ltd; 2004.
  • Ayer M, Brunk HD, Ewing GM, Reid WT, Silverman E. An empirical distribution function for sampling with incomplete information. Ann Math Stat. 1955;26:641–647. doi: 10.1214/aoms/1177728423
  • Bailer AJ, Smith RJ. Estimating upper confidence limits for extra risk in quantal multistage models. Risk Anal. 1994;14:1001–1010. doi: 10.1111/j.1539-6924.1994.tb00069.x

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.