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. 2018 Aug 8:2018:8134132.
doi: 10.1155/2018/8134132. eCollection 2018.

Bayesian Equivalence Testing and Meta-Analysis in Two-Arm Trials with Binary Data

Cynthia Kpekpena  1 , Saman Muthukumarana  1
Affiliations

Bayesian Equivalence Testing and Meta-Analysis in Two-Arm Trials with Binary Data

Cynthia Kpekpena et al. Comput Math Methods Med. .

Abstract

We consider a Bayesian approach for assessing hypotheses of equivalence in two-arm trials with binary Data. We discuss the development of likelihood, the prior, and the posterior distributions of parameters of interest. We then examine the suitability of a normal approximation to the posterior distribution obtained via a Taylor series expansion. The Bayesian inference is carried out using Markov Chain Monte Carlo (MCMC) methods. We illustrate the methods using actual data arising from two-arm clinical trials on preventing mortality after myocardial infarction.

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Figures

Figure 1
Figure 1
The normal approximations of (a) Beta(2, 2), (b) Beta(3, 3), (c) Beta(2, 4), and (d) Beta(4, 4).
Figure 2
Figure 2
The Normal approximations (a) Beta(5, 5), (b) Beta(10, 10), (c) Beta(30, 20), and (d) Beta(20, 30).
Figure 3
Figure 3
The distribution of x m shows it is more likely to be 0.
Figure 4
Figure 4
There is no discernible pattern in the trace plot and no large spikes in the autocorrelation plot.
See this image and copyright information in PMC

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