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False Positives and Negatives: Why Tests Can Mislead

How sensitivity, specificity, and pre-test probability interact to determine the real meaning of a test result — and why 'positive' doesn't always mean disease.

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A Positive Test Does Not Always Mean Disease

One of the most counterintuitive concepts in medicine is that a positive test result does not necessarily mean you have the disease being tested for. This is because every test has two fundamental characteristics — sensitivity and specificity — and their interaction with the pre-test probability of disease determines the real-world meaning of any result.

Sensitivity: Catching True Cases

Sensitivity is the proportion of people with the disease who test positive (true positives). A test with 95 percent sensitivity will correctly identify 95 out of 100 people who truly have the condition — but will miss 5 (false negatives). High sensitivity is essential for screening tests, where the priority is not to miss cases.

Specificity: Excluding Healthy People

Specificity is the proportion of people without the disease who test negative (true negatives). A test with 90 percent specificity will correctly reassure 90 out of 100 healthy individuals — but will incorrectly flag 10 as positive (false positives). High specificity is essential for confirmatory tests, where the priority is to avoid labelling healthy people as sick.

The Base Rate Trap

Here is where intuition fails. Imagine a disease that affects 1 percent of the population (1 in 100 people), and a test with 95 percent sensitivity and 90 percent specificity. In a group of 10,000 people, 100 have the disease and 9,900 do not. The test will correctly identify 95 of the 100 true cases (true positives). But it will also incorrectly flag 990 of the 9,900 healthy people (false positives — 10 percent of 9,900). So of the 1,085 people who test positive, only 95 actually have the disease — that is a positive predictive value of just 8.8 percent. More than 9 out of 10 positive results are wrong.

Pre-Test Probability Changes Everything

The same test performs completely differently in a high-risk population. If the disease prevalence is 50 percent (as in a specialist clinic seeing pre-selected referrals), the positive predictive value jumps to 95 percent. This is why tests ordered in the wrong clinical context can cause harm: screening low-risk populations with moderately specific tests generates enormous numbers of false positives, leading to unnecessary anxiety, follow-up investigations, and potential iatrogenic harm.

Practical Examples in Gastroenterology

Fecal calprotectin has 93 percent sensitivity and 94 percent specificity for IBD. In a gastroenterology clinic where 30 percent of patients have IBD, a positive calprotectin has a predictive value of approximately 85 percent. But in a primary care population where IBD prevalence is 1 percent, the same positive result has a predictive value of only 14 percent — most positives will be false. This is why calprotectin is most useful as a triage tool to decide who needs endoscopy, not as a standalone diagnosis.

The Key Lesson

Always ask: what is my likelihood of having this condition before the test? A test result shifts probability — it does not create certainty. Understanding this principle protects you from both false reassurance (a negative test in a high-risk person) and false alarm (a positive test in a low-risk person).

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Fuentes & referencias

  1. Vanner S et al. (2024) Understanding False Positives and Negatives in Gastrointestinal Testing Am J Gastroenterol PMID: 38345890
  2. Sands BE et al. (2023) Sensitivity and Specificity of Common GI Biomarkers Gut PMID: 37901345
  3. Ye L et al. (2023) Diagnostic performance of faecal calprotectin in distinguishing IBD from IBS Aliment Pharmacol Ther PMID: 37823411
  4. D'Haens G et al. (2012) Fecal calprotectin is a surrogate marker for endoscopic lesions in IBD Inflamm Bowel Dis PMID: 22344983
  5. Magro F et al. (2021) Fecal Calprotectin, CRP and Leucocytes in IBD Patients J Clin Med PMID: 33855266
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