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. Author manuscript; available in PMC: 2017 Aug 22.
Published in final edited form as: J Biopharm Stat. 2016 Aug 22;26(6):1083–1097. doi: 10.1080/10543406.2016.1226335

Table 2.

Diagnostic Yield of “Always Positive” Testc A Compared with Standard Test S for Colorectal Cancer (CRC), 100,000 Subjects.

Disease Test Positives Test Negatives
Status S+ A+ Δ+ S A Δ
Absent 4965 99300 94335 94335 0 −94335
Presenta 525 700 175 175 0 −175

Ratio 9.5 141.9 539.1 539.1 NaN 539.1
FP AEsb 33.8 675.2 641.5
ΔFP AEsTP 3.67

a

Prevalence of disease (CRC) is assumed to be 0.7%, or 700 per 100,000 subjects.

b

Risk of an adverse event during colonoscopy is assumed to be 0.68% (Rutter et al, 2012, Table 2). All subjects falsely testing positive are assumed to be referred to colonoscopy and undergo the procedure.

c

A trivial test that classifies everyone as test positive for CRC.