Extra Risk Calculator
Extra risk=(response−background)/(1−background), not added risk or difference/exposed attributable fraction. Actual matched risk populations/endpoint conventions independently established; signed values retained, no causal claim.
Description
Extra risk adjusts an observed response difference for the fraction without the background response.
When to use Extra Risk Calculator
Use this tool to calculate or review the supplied observations under the stated rules. Establish the chemical, exposure route, endpoint, measurement basis and independently applicable assay or assessment reference.
How to use Extra Risk Calculator and understand its results
- Establish the chemical, exposure route, endpoint, measurement basis and independently applicable assay or assessment reference.
- Enter actualIndependentlyAssessedResponseRisk, matchedIndependentlyAssessedBackgroundRisk, using the field meanings and rules below, then run the tool.
- Read result.signedObservedExtraRisk. Use the units and subtraction order below to interpret each value; retain negative differences where returned.
- Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualIndependentlyAssessedResponseRisk | Actual independently assessed response risk | number | Required |
| matchedIndependentlyAssessedBackgroundRisk | Matched independently assessed background risk | number | Required |
Require treated and background response fractions in [0,1], with background strictly below one. Return the background-adjusted extra response; treated response below background produces a negative result. No causal estimate or statistical interval is supplied.
extraRisk=(responseFraction−backgroundFraction)/(1−backgroundFraction) Use the matching field units and the exact boundary, ordering and reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Qualified observed calculation or explicit reference | object |
| result.signedObservedExtraRisk | Response-minus-background divided by one-minus-background; may be negative. | number |
{
"input": {
"actualIndependentlyAssessedResponseRisk": 0.3,
"matchedIndependentlyAssessedBackgroundRisk": 0.1
},
"output": {
"result": {
"signedObservedExtraRisk": 0.2222222222222222
}
}
}Limitations and assumptions
Chemical identity, route, assay, exposure basis and reference applicability are caller-established. The output supplies no causal conclusion, universal toxicity threshold or authoritative regulatory determination.
Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Extremely large composite outputs are rejected.
Alternative or Complementary methods
For a related step, use Attributable Risk Calculator: An exposed-versus-unexposed risk difference compares matched population response fractions. For a complementary comparison, use Added Risk Calculator: Added risk is the signed difference between matched response and background risk fractions.
References
-
Extra Risk Calculator — tool.io
-
IRIS glossary: extra risk — United States Environmental Protection Agency
Similar or alternative tools
- Attributable Risk Calculator
An exposed-versus-unexposed risk difference compares matched population response fractions.
- Added Risk Calculator
Added risk is the signed difference between matched response and background risk fractions.