References
- Arboretti R, Pesarin F, Salmaso L. A unified approach to permutation testing for equivalence. Stat Methods Appl. 2020;30:1–20.
- Schuirmann DJ. A comparison of the two one-sided tests procedure and the power approach for assessing the equivalence of average bioavailability. J Pharmacokinet Biopharm. 1987;15:657–680.
- Berger RL, Hsu JC, et al. Bioequivalence trials, intersection-union tests and equivalence confidence sets. Stat Sci. 1996;11:283–319.
- Barker L, Rolka H, Rolka D, et al. Equivalence testing for binomial random variables: which test to use? Am Stat. 2001;55:279–287.
- Williamson PP. Bayesian equivalence testing for binomial random variables. J Stat Comput Simul. 2007;77:739–755.
- Kawasaki Y, Shimokawa A, Yamada H, et al. A Bayesian equivalency test for two independent binomial proportions. J Biopharm Stat. 2016;26:781–789.
- Pericchi L, Pereira C. Adaptative significance levels using optimal decision rules: balancing by weighting the error probabilities. Braz J Probab Stat. 2016;30:70–90.
- Pereira CAB, Nakano EY, Fossaluza V, et al. Hypothesis tests for Bernoulli experiments: ordering the sample space by bayes factors and using adaptive significance levels for decisions. Entropy. 2017;19:696.
- Ruberg SJ, Harrell FE, Gamalo-Siebers M, et al. Inference and decision making for 21st-century drug development and approval. Am Stat. 2019;73:319–327.
- Arboretti R, Carrozzo E, Pesarin F, et al. Testing for equivalence: an intersection-union permutation solution. Stat Biopharm Res. 2018;10:130–138.
- Gannon MA, Pereira CAB, Polpo A. Blending Bayesian and classical tools to define optimal sample-size-dependent significance levels. Am Stat. 2019;73:213-–222.
- Varuzza L, Pereira CAB. Significance test for comparing digital gene expression profiles: partial likelihood application. Chil J Stat. 2010;1:91–102.
- Pérez ME, Pericchi LR. Changing statistical significance with the amount of information: the adaptive α significance level. Stat Probab Lett. 2014;85:20–24.
- Berry SM, Carlin BP, Lee JJ, et al. Bayesian adaptive methods for clinical trials. Boca Raton: Chapman & Hall/CRC; 2010.
- Pinto VF. Non-inferiority clinical trials: concepts and issues. J Vasc Bras. 2010;9:145–151.
- Chow SC, Shao J, Wang H, et al. Sample size calculations in clinical research. Boca Raton: Chapman & Hall/CRC; 2017.
- Patel HI, Gupta GD. A problem of equivalence in clinical trials. Biom J. 1984;26:471–474.
- Irony TZ, Pereira CAB. Bayesian hypothesis test: using surface integrals to distribute prior information among the hypotheses. Resenhas do Instituto de Matemática e Estatística da Universidade de São Paulo. 1995;2:27–46.
- Young GA, Smith RL. Essentials of statistical inference. Cambridge: Cambridge University Press; 2005.
- Berger JO, Pericchi LR. Objective Bayesian methods for model selection: introduction and comparison. Lecture Notes-Monogr Ser. 2001;38:135–207.
- R Core Team R: A language and environment for statistical computing. Vienna (Austria): R Foundation for Statistical Computing; 2021. Available from: https://www.R-project.org/.
- van Buchem FL, Knottnerus JA, Schrijnemaekers VJJ, et al. Primary-care-based randomised placebo-controlled trial of antibiotic treatment in acute maxillary sinusitis. Lancet. 1997;349:683–687.
- Jeffreys H. Theory of probability. 3rd ed. Oxford: Clarendon Press; 1961.
- Kass RE, Raftery AE. Bayes factor. J Am Stat Assoc. 1995;90:773–795.