Physica Medica: European Journal of Medical Physics
Volume 25, Issue 1 , Pages 43-46 , March 2009

Confidence limits of the probability of success in animal experiments and clinical studies: A Bayesian approach

Received 19 September 2007 ,Revised 4 January 2008 ,Accepted 7 January 2008.

References 

  1. Shakespeare TP, Holecek MJ. Should we be using confidence intervals when reporting results of oncology studies?. Int J Radiat Oncol Biol Phys. 1998;41(4):971–972
  2. Fisher RA. Inverse probability. Proc Camb Phil Soc. 1930;26:528
  3. Clopper CJ, Pearson ES. The use of confidence or fiducial limits illustrated in the case of the binomial distribution. Biometrika. 1934;26(4):404–413
  4. Fisher RA. The fiducial argument in statistical inferences. Ann Eugen (London). 1935;6:391–398
  5. Neyman J. On the problem of confidence intervals. Ann Math Statist. 1935;6(23):111–116
  6. Neyman J. Fiducial argument and the theory of confidence intervals. Biometrika. 1941;32(2):128–150
  7. Stevens WL. Fiducial limits of the parameter of a discontinuous distribution. Biometrika. 1950;37(1/2):117–129
  8. Collet D. Modelling binary data. London: Chapman and Hall; 1994;
  9. Armitage P, Berry G. Statistical methods in medical research. Oxford: Blackwell Scientific; 1994;
  10. Bayes T. An essay towards solving a problem in the doctrine of chances. MD Comput. 1991;8(3):157–171
  11. P.S. Laplace. Memoire sur la probabilite des causes par lesevenemens; 1774.
  12. Jaynes ET. Confidence intervals vs Bayesian intervals. Dordrecht, Holland: Reidel Publishing Company; 1976;http://bayes.wustl.edu/etj/articles/confidence.pdf
  13. Jeffreys H. Scientific inference. Cambridge University Press; 1957;
  14. Jaynes ET. Probability theory: the logic of science. Cambridge, UK: Cambridge University Press; 2003;
  15. Loredo TJ. From Laplace to Supernova SN 1987A: Bayesian inference in astrophysics. Dordrecht, Holland: Kluwer Academic Publishers; 1990;
  16. Gull SF. Bayesian inductive inference and maximum entropy. Dordrecht, Holland: Kluwer Academic Publishers; 1988;
  17. Anderson TW, Burstein H. Approximating the upper binomial confidence limit. J Am Stat Assoc. 1967;62(319):857–861
  18. Anderson TW, Burstein H. Approximating the lower binomial confidence limit. J Am Stat Assoc. 1968;63(324):1413–1415
  19. Jovanovic BD, Zalenski RJ. Safety evaluation and confidence intervals when the number of observed events is small or zero. Ann Emerg Med. 1997;30(3):301–306
  20. Pearson ES, Hartley HO. Tables for statisticians. Biometrika. 1972;1:
  21. Blyth CR, Hutchinson DW. Table of Neyman – shortest unbiased confidence intervals for the binomial parameter. Biometrika. 1960;47(3/4):381–391

PII: S1120-1797(08)00006-9

doi: 10.1016/j.ejmp.2008.01.001

Physica Medica: European Journal of Medical Physics
Volume 25, Issue 1 , Pages 43-46 , March 2009