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Table 2 Seven examples of the same test matrix affected by bias of increasing magnitude

From: The test characteristics of a biased or ignorant diagnostician

 

Bias

Test matrix

Biased test matrix

 

p and PPV of diagnosis (%)

p and PPV of alternative diagnosis (%)

Dx+ (%)

Dx− (%)

Dx+ (%)

Dx− (%)

Dx+ (%)

Dx− (%)

1st Example

         

T+

100

0

80

10

80

10

p

20

80

T−

0

100

20

90

20

90

PPV

67

33

2nd Example

         

T+

80

20

80

10

68

26

p

20

80

T−

20

80

20

90

32

74

PPV

40

60

3rd Example

         

T+

60

40

80

10

56

42

p

20

80

T−

40

60

20

90

44

58

PPV

25

75

4th Example

         

T+

50

50

80

10

50

50

p

20

80

T−

50

50

20

90

50

50

PPV

20

80

5th Example

         

T+

40

60

80

10

44

58

p

20

80

T−

60

40

20

90

56

42

PPV

16

84

6th Example

         

T+

20

80

80

10

32

74

p

20

80

T−

80

20

20

90

68

26

PPV

10

90

7th Example

         

T+

0

100

80

10

20

90

p

20

80

T−

100

0

20

90

80

10

PPV

5

95

  1. T+ and T− represent a positive or negative test result, respectively; Dx+and Dx− represent a positive or negative diagnosis, respectively; p & PPV represent pre-test probability & positive predictive value, respectively