BMC Medical Informatics and Decision Making

Table 4 Simulation results for Design 4

From: Estimating the optimal threshold for a diagnostic biomarker in case of complex biomarker distributions

			Relative bias^*						Coverage probability^†				CI mean width^†
			Mode		Median		Mean		Quantile		HPD		Quantile		HPD
N	σ ₁	σ ₂	Gauss	Dirichlet	Gauss	Dirichlet	Gauss	Dirichlet	Gauss	Dirichlet	Gauss	Dirichlet	Gauss	Dirichlet	Gauss	Dirichlet
200	0.07	0.07	0.0392	−0.0294	0.0405	−0.0087	0.0400	−0.0177	0.623	0.947	0.631	0.926	0.020	0.066	0.020	0.069
200	0.08	0.05	0.1657	−0.0064	0.1668	0.0281	0.1664	0.0082	0.000	0.956	0.000	0.943	0.020	0.080	0.020	0.087
200	0.10	0.05	0.1717	−0.0107	0.1728	0.0167	0.1724	0.0023	0.000	0.959	0.000	0.945	0.020	0.069	0.021	0.074
100	0.07	0.07	0.0386	−0.0394	0.0412	−0.0093	0.0403	−0.0223	0.792	0.944	0.797	0.922	0.029	0.082	0.029	0.086
100	0.08	0.05	0.1644	−0.0074	0.1666	0.0340	0.1658	0.0112	0.000	0.960	0.000	0.947	0.029	0.093	0.029	0.100
100	0.10	0.05	0.1713	−0.0118	0.1731	0.0206	0.1725	0.0039	0.000	0.961	0.000	0.948	0.025	0.077	0.026	0.082
50	0.07	0.07	0.0373	−0.0413	0.0425	−0.0063	0.0406	−0.0215	0.879	0.971	0.884	0.952	0.042	0.100	0.041	0.096
50	0.08	0.05	0.1623	0.0007	0.1668	0.0483	0.1651	0.0243	0.017	0.969	0.020	0.960	0.041	0.114	0.041	0.106
50	0.10	0.05	0.1689	0.0032	0.1736	0.0431	0.1719	0.0244	0.012	0.963	0.015	0.962	0.042	0.102	0.042	0.096
30	0.07	0.07	0.0333	−0.0219	0.0426	0.0015	0.0392	−0.0081	0.923	0.982	0.929	0.974	0.055	0.102	0.054	0.098
30	0.08	0.05	0.1576	0.0394	0.1652	0.0705	0.1624	0.0589	0.111	0.961	0.127	0.962	0.054	0.117	0.053	0.111
30	0.10	0.05	0.1643	0.0498	0.1723	0.0679	0.1693	0.0629	0.091	0.944	0.104	0.951	0.055	0.104	0.054	0.100

^*Relative bias of the mode, the median, and the mean estimates of the optimal threshold.
^†Coverage probability and credible interval (CI) mean width found with the quantile and the Highest Posterior Density (HPD) region method.
N: number of subjects in each group – σ ₁ and σ ₂: standard deviation of the normal distributions in diseased subjects – Gauss: Gaussian distribution – Dirichlet: mixture of Dirichlet processes.

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