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Bayesian sample size calculations for a non-inferiority test of two proportions in clinical trials.
Contemp Clin Trials. 2008 Jul; 29(4):507-16.CC

Abstract

In the process of clinical trials and health-care evaluation, Bayesian approaches have increasingly become the center of attention. In this article, sample size calculations for a non-inferiority test of two independent binomial proportions in a clinical trial are considered in a Bayesian framework. The hybrid Neyman-Pearson-Bayesian (hNPB) probability, the conditionally Bayesian (cB) probability and the unconditionally Bayesian (uB) probability are formulated through a conjugate normal analysis. The sample sizes are calculated based on formulas where normal prior distributions are assumed, and are compared with the Neyman-Pearson (NP) sample size. Our results show that the sample size based on the hNPB probability allows us to critically evaluate the appropriateness of the NP sample size. It is suggested that the sample size calculated based on the cB probability formula is smaller than the NP sample size.

Authors+Show Affiliations

Department of Drug Evaluation & Informatics, Graduate School of Pharmaceutical Sciences, University of Shizuoka, 52-1, Yada, Suruga-ku, Shizuoka 422-8526, Japan. daimon@u-shizuoka-ken.ac.jp

Pub Type(s)

Journal Article
Research Support, Non-U.S. Gov't
Review

Language

eng

PubMed ID

18201944

Citation

Daimon, Takashi. "Bayesian Sample Size Calculations for a Non-inferiority Test of Two Proportions in Clinical Trials." Contemporary Clinical Trials, vol. 29, no. 4, 2008, pp. 507-16.
Daimon T. Bayesian sample size calculations for a non-inferiority test of two proportions in clinical trials. Contemp Clin Trials. 2008;29(4):507-16.
Daimon, T. (2008). Bayesian sample size calculations for a non-inferiority test of two proportions in clinical trials. Contemporary Clinical Trials, 29(4), 507-16. https://doi.org/10.1016/j.cct.2007.12.001
Daimon T. Bayesian Sample Size Calculations for a Non-inferiority Test of Two Proportions in Clinical Trials. Contemp Clin Trials. 2008;29(4):507-16. PubMed PMID: 18201944.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Bayesian sample size calculations for a non-inferiority test of two proportions in clinical trials. A1 - Daimon,Takashi, Y1 - 2007/12/23/ PY - 2007/07/18/received PY - 2007/11/21/revised PY - 2007/12/07/accepted PY - 2008/1/19/pubmed PY - 2008/9/16/medline PY - 2008/1/19/entrez SP - 507 EP - 16 JF - Contemporary clinical trials JO - Contemp Clin Trials VL - 29 IS - 4 N2 - In the process of clinical trials and health-care evaluation, Bayesian approaches have increasingly become the center of attention. In this article, sample size calculations for a non-inferiority test of two independent binomial proportions in a clinical trial are considered in a Bayesian framework. The hybrid Neyman-Pearson-Bayesian (hNPB) probability, the conditionally Bayesian (cB) probability and the unconditionally Bayesian (uB) probability are formulated through a conjugate normal analysis. The sample sizes are calculated based on formulas where normal prior distributions are assumed, and are compared with the Neyman-Pearson (NP) sample size. Our results show that the sample size based on the hNPB probability allows us to critically evaluate the appropriateness of the NP sample size. It is suggested that the sample size calculated based on the cB probability formula is smaller than the NP sample size. SN - 1559-2030 UR - https://www.unboundmedicine.com/medline/citation/18201944/Bayesian_sample_size_calculations_for_a_non_inferiority_test_of_two_proportions_in_clinical_trials_ L2 - https://linkinghub.elsevier.com/retrieve/pii/S1551-7144(07)00183-8 DB - PRIME DP - Unbound Medicine ER -