Table 2

Estimated posterior means and results for empirical simulation
Case 1 Case 2 Case 3
N 10 5 3
μ1 -0.170 (0.037) -0.169 (0.041) -0.157 (0.041)

<a onClick="popup('http://www.biomedcentral.com/1471-2105/14/110/mathml/M18','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2105/14/110/mathml/M18">View MathML</a>

3.653×10-4 3.604×10-4 3.83×10-4
(3×10-5) (4.421×10-5) (6.090×10-5)

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0.984 (0.104) 0.968 (0.115) 0.955 (0.110)
Π1 0.151 (0.004) 0.153 (0.005) 0.156 (0.006)

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0.972 (0.006) 0.993 (0.003) 0.953 (0.011)
FDR 0.030 (0.008) 0.046 (0.011) 0.068 (0.013)

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0.024 (0.004) 0.037 (0.005) 0.049 (0.006)
Sensitivity 0.928 (0.014) 0.866 (0.020) 0.802 (0.025)
Specificity 0.995 (0.001) 0.994 (0.002) 0.991 (0.002)
Case 4 Case 5 Case 6
N 10 5 3
μ1 0.007 (0.035) 0.006 (0.038) -0.002 (0.037)

<a onClick="popup('http://www.biomedcentral.com/1471-2105/14/110/mathml/M22','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2105/14/110/mathml/M22">View MathML</a>

3.634×10-4 3.532×10-4 3.450×10-4
(2.931×10-5) (4.155×10-5) (5.283×10-5)

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1.172 (0.048) 1.151 (0.059) 1.140 (0.050)
Π1 0.179 (0.003) 0.183 (0.004) 0.188 (0.005)

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0.990 (0.002) 0.979 (0.004) 0.965 (0.007)
FDR 0.030 (0.008) 0.044 (0.009) 0.064 (0.012)

<a onClick="popup('http://www.biomedcentral.com/1471-2105/14/110/mathml/M25','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2105/14/110/mathml/M25">View MathML</a>

0.021 (0.004) 0.031 (0.005) 0.042 (0.006)
Sensitivity 0.953 (0.011) 0.906 (0.015) 0.862 (0.020)
Specificity 0.995 (0.001) 0.992 (0.002) 0.989 (0.002)

Operating characteristics are based on the Bayes rule. <a onClick="popup('http://www.biomedcentral.com/1471-2105/14/110/mathml/M17','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2105/14/110/mathml/M17">View MathML</a> is the correlation coefficient between the true difference and the estimated difference.

Chung et al.

Chung et al. BMC Bioinformatics 2013 14:110   doi:10.1186/1471-2105-14-110

Open Data