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False Positive and Predictive Value Calculator — result sheet
Calculate false-positive rate, positive predictive value, and false discovery rate from prevalence, sensitivity, and specificity.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: PPV=(sensitivity×prevalence)/(sensitivity×prevalence+(1−specificity)×(1−prevalence)); false-positive rate=1−specificity.
The page separates test characteristics from predictive values, which depend on the supplied prevalence.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Prevalence — minimum 0; maximum 1
- Sensitivity — minimum 0; maximum 1
- Specificity — minimum 0; maximum 1
Worked example
| Input | Value |
|---|---|
| Prevalence | 0.1 |
| Sensitivity | 0.9 |
| Specificity | 0.95 |
False-positive rate =5%; PPV ≈66.667%; false discovery rate ≈33.333%.
Assumptions and limits
- Prevalence, sensitivity, and specificity are probabilities in [0,1].
- The population and test characteristics are treated as fixed for the scenario.
- Diagnosis, treatment, individual medical interpretation, and changing prevalence are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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