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Episode Notes

USMLE purpose: Convert diagnostic test word problems into a 2×2 table and calculate PPV/NPV, sensitivity, or specificity.

How to use this page

  1. Draw the box immediately.
  2. Put the real disease status across the top and test result down the side.
  3. Fill totals first, then calculate missing cells.
  4. For “test positive and actually has disease,” think positive predictive value .
Episode metadata
FieldDetails
EpisodeRandy Neil Biostats 17
TopicViewer requested questions #4
Runtime7 min
Published2021-03-10
SourceOpen YouTube video

One-liner

If a patient tests positive and the question asks the probability they actually have disease , the metric is PPV = TP / (TP + FP) .

2×2 Diagnostic Box

Disease +Disease -
Test +True positiveFalse positive
Test -False negativeTrue negative

Formula table

MetricFormulaQuestion wording
SensitivityTP / (TP + FN)Among disease+, how many test positive?
SpecificityTN / (TN + FP)Among disease-, how many test negative?
PPVTP / (TP + FP)Positive test → truly diseased?
NPVTN / (TN + FN)Negative test → truly disease-free?

Worked example

If 100 patients have HSV2 and 90 test positive, then:

  • TP = 90
  • FN = 10
  • If 400 do not have HSV2 and 20 test positive, then:
    • FP = 20
    • TN = 380

PPV = 90 / (90 + 20) = 90 / 110 ≈ 82%

Anki-style rapid recall

What does PPV ask?

If the test is positive, what is the probability the patient truly has disease?

What does NPV ask?

If the test is negative, what is the probability the patient truly does not have disease?

What is the denominator for PPV?

All positive tests: TP + FP.

Practice Questions

Question 1

A test is positive in 90 patients with disease and 20 patients without disease. What is the PPV?

  • A) 90 / 100
  • B) 90 / 110
  • C) 380 / 400
  • D) 380 / 390
Reveal answer & explanation

Answer: B) 90 / 110

PPV = true positives / all positive tests = TP / (TP + FP).

Quick Reference Summary

If question says...ThinkFormula
Positive test, actually sick?PPVTP / TP+FP
Negative test, actually well?NPVTN / TN+FN
Disease present, test catches it?SensitivityTP / TP+FN
Disease absent, test rules out?SpecificityTN / TN+FP