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Table 2 Simulation results for Design 2

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

ν

Gauss

t

Gauss

t

Gauss

t

Gauss

t

Gauss

t

Gauss

t

Gauss

t

1

0.2905

0.0055

0.2944

0.0103

0.2929

0.0082

0.000

0.937

0.000

0.932

0.033

0.029

0.034

0.030

4

0.0431

0.0029

0.0437

0.0040

0.0435

0.0036

0.530

0.953

0.532

0.955

0.024

0.022

0.024

0.022

8

0.0147

0.0014

0.0149

0.0019

0.0148

0.0017

0.863

0.951

0.868

0.952

0.023

0.021

0.023

0.021

12

0.0086

0.0009

0.0086

0.0013

0.0086

0.0011

0.918

0.951

0.920

0.955

0.022

0.020

0.022

0.020

  1. *Relative bias of the mode, the median, and the mean estimates of the optimal threshold.
  2. Coverage probability and credible interval (CI) mean width found with the quantile and the Highest Posterior Density (HPD) region method.
  3. ν: Degrees of freedom of the Student-t distribution in diseased subjects – Gauss: Gaussian distribution – t: Student-t distribution.