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Table 2 Means and standard deviations of the estimates of C for a dichotomized 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

0.662 ± 0.079

0.760 ± 0.076

0.856 ± 0.062

25

0.655 ± 0.051

0.754 ± 0.048

0.852 ± 0.040

50

0.652 ± 0.036

0.751 ± 0.034

0.851 ± 0.028

100

0.651 ± 0.026

0.751 ± 0.024

0.851 ± 0.020

200

0.650 ± 0.018

0.750 ± 0.017

0.850 ± 0.014

500

0.650 ± 0.011

0.750 ± 0.011

0.850 ± 0.009

  1. Two samples of the size n from N(0, 12) and N(μ d , 1.52) are generated by Monte Carlo simulation and the pair consistency probability C for the optimal dichotomized point is calculated by the parametric method. This step is iterated 10,000 times, producing means and standard deviations of C. The values of μ d are 0.840, 1.613 and 2.543 for the true values of C 0.650, 0.750 and 0.850, respectively.