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. Author manuscript; available in PMC: 2018 May 30.
Published in final edited form as: J Am Stat Assoc. 2016 Oct 7;112(517):1–10. doi: 10.1080/01621459.2016.1240079

Table 1.

Posterior means and 95% credible intervals for model parameters under the moment and normal models for the nonnull effect sizes. Note that the interpretation of τ is not the same in the moment and normal models, whereas the remaining parameter values do have the same interpretation in each model. All results are based on 10 independent runs of an MCMC algorithm. Each run consisted of 105 burn-in iterations, followed by 106 parameter updates.

Model Parameter π0 τ α M
Moment Posterior mean 0.930 0.0877 0.00569 706
Credible interval (0.884, 0.961) (0.0604, 0.1252) (0.00129, 0.0138) (495, 956)
Normal Posterior mean 0.886 0.1845 0.00608 669
Credible interval (0.800, 0.940) (0.1121, 0.2983) (0.00137, 0.01494) (447, 925)