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Table 1 Comparison of false positive rate and statistical power for fixed α. For a given significance level (α) the observed false positive rate (FP) and power were determined by simulation using either a point estimate for the variance (PE) or the marginal posterior distribution for Δμ (MP). Values are given for different sample sizes (n1 = n2 = n) and prior degrees of freedom (ν0).

From: A two-sample Bayesian t-test for microarray data

n1 = n2 = n ν0 αPE αMP FPPE FPMP PowerPE PowerMP
2 0 0.05 0.05 - 0.0509 - 0.2169
2 2 0.05 0.05 0.0044 0.0490 0.0450 0.3343
2 4 0.05 0.05 0.0146 0.0535 0.1814 0.3919
2 6 0.05 0.05 0.0211 0.0518 0.2747 0.4182
2 16 0.05 0.05 0.0385 0.0498 0.4186 0.4709
3 0 0.05 0.05 0.0030 0.0500 0.0709 0.4664
3 2 0.05 0.05 0.0167 0.0486 0.2833 0.5404
3 4 0.05 0.05 0.0261 0.0556 0.4153 0.5834
3 6 0.05 0.05 0.0280 0.0500 0.4838 0.6053
3 16 0.05 0.05 0.0389 0.0501 0.5951 0.6441