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Table 2 Begg and Greenes method for three screening tests (R, S, T)

From: Adjusting for verification bias in diagnostic accuracy measures when comparing multiple screening tests - an application to the IP1-PROSTAGRAM study

 

Screening Tests1

Condition Status3

 

Verification Status2

R

S

T

D = 1

D = 0

Total

V = 1

0

0

0

a 6

b

T1_0004

1

0

0

c

d

T1_100

0

1

0

e

f

T1_010

0

0

1

g

h

T1_001

1

1

0

i

j

T1_110

1

0

1

k

l

T1_101

0

1

1

m

n

T1_011

1

1

1

o

p

T1_111

V = 0

0

0

0

a’ 7

b’

T0_0005

1

0

0

c’

d’

T0_100

0

1

0

e’

f’

T0_010

0

0

1

g’

h’

T0_001

1

1

0

i’

j’

T0_110

1

0

1

k’

l’

T0_101

0

1

1

m’

n’

T0_011

1

1

1

o’

p’

T0_111

  1. 1Three screening tests R, S, T:
  2. Screen-positive result: R = 1, T = 1, and/or S = 1
  3. Screen-negative result: R = 0, T = 0, and S = 0
  4. 2V – Verification status:
  5. V = 1 for verified participants (those who underwent the reference standard)
  6. V = 0 for non-verified participants (those who did not undergo the reference standard).
  7. 3D – Condition status:
  8. D = 1 for those who have the target condition (according to the reference standard result)
  9. D = 0 for those who do not have the target condition (according to the reference standard result).
  10. 4T1_000, T1_100, T1_010, T1_001, T1_110, T1_101, T1_011, T1_111 are the total numbers of verified (V = 1) participants with each combination of screening test results. These totals can be found from the data. To satisfy the assumption that the prevalence of the target condition estimated in the subset of participants who are screen-negative and undergo verification applies to all screen-negatives, T1_000 > 0 must hold
  11. 5T0_000, T0_100, T0_010, T0_001, T0_110, T0_101, T0_011, T0_111 are the total numbers of non-verified (V = 0) participants with each combination of screening test results. These totals can be found from the data
  12. 6a, b, c, d, e, f, g, h, I, j, k, i, m, n, o, p are the numbers of verified participants (V = 1) with each of the combinations of screening test results, with (D = 1) or without (D = 0) the target condition. These frequencies are known from the data
  13. 7a’, b’, c’, d’, e’, f’, g’, h’, i’, j’, k’, l’, m’, n’, o’, p’ are numbers of non-verified participants (V = 0) with each of the combinations of screening test results, with (D = 1) or without (D = 0) the target condition. These frequencies are missing from the data, but can be estimated from the known values for the verified patients and the total numbers of non-verified patients with each combination of the screening test results