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Table 6 Parameter values of the distributions used in the Monte-Carlo study

From: oA novel nonparametric approach for estimating cut-offs in continuous risk indicators with application to diabetes epidemiology

 

pH

pD

μH1

σ2 H1

μH2

σ2 H2

σ2 D1

σ2 D2

μD1

μD2

         

J = 0.4

J = 0.6

J = 0.8

 

Distributions of X

            

Normal, equal variances

  

6.5

0.25

  

0.25

 

7.024

7.342

7.782

 

Normal, non equal variances

  

6.5

0.09

  

0.25

 

6.873

7.143

7.505

 

Normal-1/3

  

3.5

0.09

  

0.25

 

3.127

2.857

2.495

 

Mix1

1

0.5

10

1

  

1

5

9.980

11.120

12.160

μD1+4

Mix2

1

0.8

10

1

  

1

5

10.850

11.530

12.440

μD1+4

Mix3

0.5

0.5

10

1

13

1

1

5

12.390

13.580

14.740

μD1+4

Mix4

0.5

0.5

10

1

13

1.5

1

5

12.240

13.580

14.910

μD1+4

Mix5

0.5

0.8

10

1

13

1

1

5

12.640

13.900

15.000

μD1+4

Mix6

0.5

0.8

10

1

13

1.5

1

5

12.510

13.860

15.160

μD1+4

  1. J = Youden Index; Mix = mixture of two normal distributions; Normal = normal distribution