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Table 1 Area under curve observed via computer simulation

From: Application of permanents of square matrices for DNA identification in multiple-fatality cases

Family types

Permanent

LR

 
 

M

T

AUC (95% CI)a

Mean (SD)b

Se/spc

AUC (95% CI)a

Mean (SD)b

Se/spc

P

1

III-1

III-2

1.000 (1.000-1.000)

1.000 (0.000)

0.990/1

0.999 (0.998-0.999)

0.999 (0.001)

0.445/1

1.6E-05

2

I-1

II-3,III-1

0.999 (0.998-0.999)

0.988 (0.005)

0.285/1

0.976 (0.969-0.984)

0.976 (0.021)

0.045/1

1.2E-10

3

I-1

III-1

0.982 (0.977-0.987)

0.982 (0.020)

0.038/1

0.944 (0.932-0.956)

0.945 (0.030)

0.005/1

1.9E-13

4

III-1

I-1

0.982 (0.977-0.987)

0.982 (0.020)

0.035/1

0.944 (0.932-0.956)

0.945 (0.030)

0.005/1

2.1E-13

5

II-1

III-1

0.975 (0.969-0.980)

0.974 (0.020)

0.030/1

0.933 (0.920-0.947)

0.933 (0.029)

0.010/1

1.2E-16

6

III-1

II-1

0.974 (0.969-0.980)

0.974 (0.021)

0.032/1

0.933 (0.920-0.947)

0.933 (0.029)

0.010/1

1.3E-16

7

III-1

I-1,I-3

1.000 (1.000-1.000)

0.999 (0.002)

0.673/1

0.988 (0.984-0.992)

0.988 (0.011)

0.118/1

2.1E-08

8

I-1

I-3,I-4,III-1

0.995 (0.993-0.997)

0.994 (0.009)

0.168/1

0.962 (0.953-0.972)

0.962 (0.020)

0.033/1

2.8E-15

9

I-1

I-3,III-1

0.990 (0.987-0.993)

0.989 (0.014)

0.078/1

0.951 (0.940-0.961)

0.951 (0.026)

0.015/1

9.6E-20

10

III-1

III-3

0.821 (0.799-0.843)

0.818 (0.074)

0.000/1

0.788 (0.764-0.812)

0.788 (0.068)

0.000/1

2.5E-08

Mix

  

0.990 (0.987-0.993)

0.988 (0.013)

0.188/1

0.959 (0.950-0.968)

0.958 (0.022)

0.055/1

9.6E-15

  1. M missing, T typed, Permanent: permanent method, LR LR method.
  2. aArea under curve (AUC) of pooled results of 20 datasets for each family type (estimated 95% confidence interval (CI)).
  3. bMean of AUC (standard deviation (SD)) of 20 datasets for each family type.
  4. cSensitivity and specificity at threshold 0.999.
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