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Table 3 Area under curve of datasets with missing bodies or families

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

Data

Situation

Method

Additional data

AUC (SD)b

Decrease from complete data (SD)c

Se/spb

Completed

 

Perm.

0

0.9945

 

0.20/1

  

LR

0

0.9651

 

0.05/1

Incompletea

1

Perm.

4

0.9937 (0.0005)

0.0008 (0.0005)

0.06/1

  

Perm.

10

0.9913 (0.0015)

0.0032 (0.0015)

0.05/1

 

2

Perm.

4

0.9928 (0.0018)

0.0017 (0.0018)

0.14/1

  

Perm.

10

0.9908 (0.0017)

0.0036 (0.0017)

0.09/1

 

3

Perm.

4

0.9920 (0.0016)

0.0025 (0.0016)

0.05/1

  

Perm.

10

0.9882 (0.0048)

0.0063 (0.0048)

0.05/1

  1. SD standard deviation, Perm. permanent method, LR LR method, AUC area under curve.
  2. aData shown for incomplete cases were results of permanent method.
  3. bFor incomplete datasets, the complete parts with the same 20 victims were used to calculate AUC. Sensitivity and specificity were calculated from all entries in both the complete part and the incomplete part. Mean values of 10 datasets for each situation and each number of additional data are shown for AUC.
  4. cMean decrease from AUC of complete data measured with the permanent method.
  5. dData shown for complete cases were obtained using only a complete part with the permanent method (Perm.) and LR method.