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Table 3 Means and standard deviations of the estimates of C for a trichotomized variable

From: Polychotomization of continuous variables in regression models based on the overall C index

 

true C

n

0.650

0.750

0.850

10

0.671 ± 0.065

0.759 ± 0.057

0.854 ± 0.039

25

0.658 ± 0.042

0.754 ± 0.036

0.851 ± 0.024

50

0.654 ± 0.030

0.752 ± 0.025

0.851 ± 0.017

100

0.652 ± 0.022

0.751 ± 0.017

0.850 ± 0.012

200

0.651 ± 0.015

0.751 ± 0.012

0.850 ± 0.008

500

0.651 ± 0.010

0.750 ± 0.008

0.850 ± 0.005

  1. Two samples of the size n from N(0, 12) and N(0, ) are generated by Monte Carlo simulation and the pair consistency probability C for the optimal trichotomized points is calculated by the parametric method. This step is iterated 10,000 times, producing means and standard deviations of C. The values of σ d are 1.898, 3.133 and 6.150 for the true values of C 0.650, 0.750 and 0.850, respectively.