Added Risk Calculator

Added risk=response−background, not normalized extra risk or infer a causal excess from observational rates. Actual matched risk populations/endpoint conventions external.

Description

Added risk is the signed difference between matched response and background risk fractions.

Added risk is the signed difference between matched response and background risk fractions.1

It does not use the background normalization of extra risk or independently establish causation.

When to use Added 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 Added Risk Calculator and understand its results

  1. Establish the chemical, exposure route, endpoint, measurement basis and independently applicable assay or assessment reference.
  2. Enter actualIndependentlyAssessedResponseRisk, matchedIndependentlyAssessedBackgroundRisk, using the field meanings and rules below, then run the tool.
  3. Read result.signedObservedAddedRisk. Use the units and subtraction order below to interpret each value; retain negative differences where returned.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
actualIndependentlyAssessedResponseRiskActual independently assessed response risknumberRequired
matchedIndependentlyAssessedBackgroundRiskMatched independently assessed background risknumberRequired

Require treated and background response fractions in [0,1]. Subtract background from treated response. A negative result is retained; the calculation does not adjust for population differences or return a causal interpretation.

addedRisk=responseFraction−backgroundFraction

Use the matching field units and the exact boundary, ordering and reference rules above.

Output fieldMeaningValue type
resultQualified observed calculation or explicit referenceobject
result.signedObservedAddedRiskResponse fraction minus background fraction.number
json
{
  "input": {
    "actualIndependentlyAssessedResponseRisk": 0.3,
    "matchedIndependentlyAssessedBackgroundRisk": 0.1
  },
  "output": {
    "result": {
      "signedObservedAddedRisk": 0.19999999999999998
    }
  }
}

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 Extra Risk Calculator: Extra risk adjusts an observed response difference for the fraction without the background response. For a complementary comparison, use Attributable Risk Calculator: An exposed-versus-unexposed risk difference compares matched population response fractions.

References

  1. Added Risk Calculator — tool.io

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