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. Author manuscript; available in PMC: 2012 May 1.

Published in final edited form as: Stat Med. 2010 Feb 20;29(4):489–503. doi: 10.1002/sim.3815

Table 4.

The posterior mean and quantiles of probabilities for lrp data example when using prior p_x ~ Beta(100, 900).

Parameters	Posterior quantiles

	mean	2.5%	25%	median	75%	97.5%
$\hat{\Pr} (I_{i x} = 1)$	0.10	0.09	0.09	0.10	0.11	0.12
$\hat{\Pr} (DE ∣ I_{i x} = 0)$	0.10	0.07	0.09	0.10	0.11	0.13
$\hat{\Pr} (DE ∣ I_{i x} = 1)$	0.61	0.40	0.54	0.63	0.69	0.77
$\hat{\Pr} (I_{i z} = 1 ∣ I_{i x} = 0)$	0.43	0.37	0.41	0.43	0.45	0.49
$\hat{\Pr} (I_{i z} = 1 ∣ I_{i x} = 1)$	0.55	0.42	0.50	0.54	0.60	0.68