Table 3.

Simulated coverage probabilities for proposed methods.

Proportion mi Range	Library Size	Gene Count	Prior
			Flat αi = 1			Tub αi = 1/k
			DPB	DMB	MD	DPB	DMB	MD
0 - 1.67 × 10-5	6178	1181	0.800	0.855	0.854	0.104	0.104	0.104
-	1000	25	0.825	0.834	0.834	0.107	0.108	0.107
1.67 × 10-5 - 1.23 × 10-4	6178	3678	0.947	0.975	0.976	0.520	0.520	0.520
-	1000	209	0.9425	0.950	0.950	0.558	0.558	0.558
1.23 × 10-4 - 9.12 × 10-4	6178	1173	0.961	0.951	0.948	0.899	0.898	0.898
-	1000	578	0.952	0.957	0.957	0.911	0.911	0.911
9.12 × 10-4 - 6.74 × 10-3	6178	133	0.939	0.485	0.479	0.945	0.944	0.944
-	1000	165	0.950	0.950	0.945	0.934	0.934	0.934
6.74 × 10-3 - 1.35 × 10-1	6178	13	0.809	0.009	0.005	0.953	0.951	0.951
-	1000	23	0.948	0.794	0.780	0.943	0.939	0.939

Coverage percentages for 95% posterior intervals for MCMC methods. Percentages represent the average number of intervals out of 1000 which covered the true proportion m_i over the given range of m_i values. Standard errors of proportions reported are below 1.5% and typically close to 1%.