Table 9.

Posterior model probabilities for three different prior distributions of τ

		$p(\mathcal{H}\mid \text{data})$
Hypothesis	$p(\mathcal{H})$	Inv-Gamma(1, 0.038)	Inv-Gamma(1, 0.075)	Inv-Gamma(1, 0.150)
Fixed ${\mathcal{H}}_0$	0.25	9.109e-21	9.587e-21	1.074e-20
Fixed ${\mathcal{H}}_1$	0.25	0.512	0.539	0.604
Random ${\mathcal{H}}_0$	0.25	6.161e-6	1.197e-5	2.341e-5
Random ${\mathcal{H}}_1$	0.25	0.488	0.461	0.396

Note. The results of our main analysis are highlighted in bold