Biostatistics & Research · patient case question

What is a FALSE POSITIVE result?

Patient case: Evidence, and a Patient Irradiated Ten Years Ago

Patient: 66-year-old male

Chief Complaint: Two non-restorable mandibular molars requiring extraction.

Background: Squamous cell carcinoma of the floor of mouth treated ten years ago with surgery and RADIOTHERAPY to the head and neck, total dose approximately 66 Gy. Currently disease-free. His new dentist is reviewing the published evidence on managing extractions in irradiated bone.

Medications: None

Vital Signs: BP 132/80 mmHg · HR 74 bpm · RR 16 · T 98.4°F

Findings: Teeth #30 and #31 are non-restorable with periapical radiolucencies. Overlying mucosa is intact. Xerostomia with rampant cervical caries on the remaining dentition. Trismus with maximum opening 32 mm.

  1. The test correctly identifies a patient who does not have the disease
  2. The test indicates disease is present when the patient does not actually have it
  3. The test correctly identifies a patient who has the disease
  4. The test indicates no disease when the patient actually has it
Show answer and explanation

Correct answer: B. The test indicates disease is present when the patient does not actually have it

  • A. That describes a TRUE NEGATIVE.
  • B. CORRECT. A FALSE POSITIVE is a positive test result in a person who does NOT have the condition. Its consequences are unnecessary anxiety, further investigation, and sometimes unnecessary treatment — a false positive on a caries-detection device leads to a restoration in sound enamel.
  • C. That describes a TRUE POSITIVE.
  • D. That describes a FALSE NEGATIVE — the more dangerous error in most clinical settings, because disease goes undetected and untreated.

Note: The formulas, which are worth writing out rather than memorising as strings: SENSITIVITY = TP / (TP + FN) — the proportion of DISEASED people the test correctly identifies, so a sensitive test rules disease OUT when negative (SnNout). SPECIFICITY = TN / (TN + FP) — the proportion of HEALTHY people correctly identified, so a specific test rules disease IN when positive (SpPin). ⚑ Sensitivity is TP/(TP+FN), NOT TN/(TN+FN) — that miswriting circulates in several files in this series.

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