111
Views
0
CrossRef citations to date
0
Altmetric
Articles

Bayesian, classical and hybrid methods of inference when one parameter value is special

&
Pages 1417-1437 | Received 15 Mar 2018, Accepted 11 Nov 2018, Published online: 02 Dec 2018

References

  • R. Andraws, J.S. Berger, and D.L. Brown, Effects of antibiotic therapy on outcomes of patients with coronary artery disease: A meta-analysis of randomized controlled trials, J. Am. Med. Assoc. 293 (2005), pp. 2641–2647. doi: 10.1001/jama.293.21.2641
  • F.J. Anscombe, The summarizing of clinical experiments by significance levels, Stat. Med. 9 (1990), pp. 703–708. doi: 10.1002/sim.4780090617
  • J.O. Berger and M. Delampady, Testing precise hypotheses, Stat. Sci. 2 (1987), pp. 317–335. doi: 10.1214/ss/1177013238
  • J.O. Berger and T. Sellke, Testing a point null hypothesis: The irreconcilability of P values and evidence, J. Am. Stat. Assoc. 82 (1987), pp. 112–122.
  • R.L. Berger and D.D. Boos, P values maximized over a confidence set for the nuisance parameter, J. Am. Stat. Assoc. 89 (1994), pp. 1012–1016.
  • G.E.P. Box, Sampling and Bayes' inference in scientific modelling and robustness (with discussion), J. R. Stat. Soc. Ser. A 143 (1980), pp. 383–430. doi: 10.2307/2982063
  • A.C. Davison and D.V. Hinkley, Bootstrap Methods and Their Application, Cambridge University Press, Cambridge, 1997.
  • M. Delampady, Lower bounds on Bayes factors for interval null hypotheses, J. Am. Stat. Assoc. 84 (1989), pp. 120–124. doi: 10.1080/01621459.1989.10478746
  • R. DerSimonian and N. Laird, Meta-analysis in clinical trials, Control. Clin. Trials 7 (1986), pp. 177–188. doi: 10.1016/0197-2456(86)90046-2
  • W. Edwards, Tactical note on the relation between scientific and statistical hypotheses, Psychol. Bull. 63 (1965), pp. 400–402. doi: 10.1037/h0021967
  • W. Edwards, H. Lindman, and L.J. Savage, Bayesian statistical inference for psychological research, Psychol. Rev. 70 (1963), pp. 193–242. doi: 10.1037/h0044139
  • S. Greenland, Null misinterpretation in statistical testing and its impact on health risk assessment, Prev. Med. 53 (2011), pp. 225–228. doi: 10.1016/j.ypmed.2011.08.010
  • X.L. Meng, Posterior predictive p-values, Ann. Stat. 22 (1994), pp. 1142–1160. doi: 10.1214/aos/1176325622
  • M.W. Oakes, Statistical Inference, Epidemiology Resources Inc, Chestnut Hill, 1990.
  • R.M. Royall, The effect of sample size on the meaning of significance tests, Am. Stat. 40 (1986), pp. 313–315.
  • K.W. Tsui and S. Weerahandi, Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters, J. Am. Stat. Assoc. 84 (1989), pp. 602–607.
  • B. Woolf, On estimating the relationship between blood group and disease, Ann. Hum. Genet. 19 (1955), pp. 251–253. doi: 10.1111/j.1469-1809.1955.tb01348.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.