BMC Medical Informatics and Decision Making

Table 1 Simulation results for Design 1

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 ₀	N ₁	σ ₀	σ ₁	Gauss	t	Gauss	t	Gauss	t	Gauss	t	Gauss	t	Gauss	t	Gauss	t
100	100	0.07	0.07	−0.00022	−0.00014	−0.00003	−0.00016	−0.00003	−0.00018	0.945	0.948	0.943	0.944	0.022	0.021	0.022	0.021
100	100	0.05	0.05	0.00006	0.00015	−0.00003	0.00021	−0.00003	0.00021	0.947	0.951	0.945	0.944	0.014	0.015	0.014	0.015
100	100	0.03	0.03	−0.00019	0.00010	−0.00020	0.00016	−0.00020	0.00011	0.948	0.956	0.945	0.951	0.010	0.011	0.010	0.011
50	50	0.07	0.07	0.00124	0.00114	0.00114	0.00106	0.00115	0.00104	0.949	0.953	0.948	0.950	0.032	0.031	0.032	0.031
50	50	0.05	0.05	0.00004	0.00030	0.00002	0.00031	0.00002	0.00030	0.950	0.951	0.949	0.948	0.020	0.021	0.020	0.022
50	50	0.03	0.03	−0.00038	0.00071	−0.00042	0.00072	−0.00043	0.00070	0.944	0.941	0.940	0.940	0.015	0.016	0.015	0.016
100	100	0.07	0.03	0.00047	0.00567	−0.00047	0.00518	−0.00015	0.00530	0.949	0.941	0.950	0.934	0.012	0.013	0.012	0.013
100	100	0.03	0.07	−0.00067	−0.00544	0.00025	−0.00492	−0.00006	−0.00510	0.946	0.938	0.946	0.935	0.012	0.013	0.012	0.013
50	50	0.07	0.03	0.00057	0.00727	−0.00120	0.00608	−0.00055	0.00651	0.948	0.944	0.946	0.940	0.018	0.019	0.018	0.019
50	50	0.03	0.07	−0.00114	−0.00719	0.00063	−0.00610	0.00000	−0.00651	0.953	0.948	0.949	0.942	0.018	0.019	0.018	0.019

^*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 ₀ and N ₁: number of non-diseased and diseased subjects – σ ₀ and σ ₁ : standard deviation of the distribution of the marker in non-diseased and diseased subjects – Gauss: Gaussian distribution – t: Student-t distribution.

Back to article page

ISSN: 1472-6947

Contact us

General enquiries: journalsubmissions@springernature.com