Odds ratio & relative risk API

Computes the odds ratio and relative risk with log-based confidence intervals (Haldane-Anderson zero-cell correction) plus absolute risks and risk difference from a 2x2 exposure/outcome table. Answers 'What is the odds ratio and its 95% CI?', 'What is the relative risk between exposed and unexposed groups?'.

Price$0.08per request

MethodPOST

Route/v1/stats/odds-ratio-risk-ratio

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

statisticsodds-ratiorelative-riskepidemiology2x2confidence-intervalriskassociation

API URLhttps://x402.hexl.dev/v1/stats/odds-ratio-risk-ratio

Integration docs

Example request

{
  "a": 20,
  "b": 80,
  "c": 10,
  "d": 90
}

Example response

{
  "table": {
    "exposedCases": 20,
    "exposedNonCases": 80,
    "unexposedCases": 10,
    "unexposedNonCases": 90
  },
  "haldaneAndersonCorrection": false,
  "confidence": 0.95,
  "oddsRatio": 2.25,
  "oddsRatioCI": [
    0.994295,
    5.091548
  ],
  "relativeRisk": 2,
  "relativeRiskCI": [
    0.986563,
    4.054479
  ],
  "riskExposed": 0.2,
  "riskUnexposed": 0.1,
  "riskDifference": 0.1,
  "rating": "CI includes 1 (no significant association)",
  "interpretation": "OR=2.25 (95% CI 0.994–5.092); RR=2 (CI 0.987–4.054)."
}

Input schema

{
  "type": "object",
  "required": [
    "a",
    "b",
    "c",
    "d"
  ],
  "properties": {
    "a": {
      "type": "integer",
      "examples": [
        20
      ]
    },
    "b": {
      "type": "integer",
      "examples": [
        80
      ]
    },
    "c": {
      "type": "integer",
      "examples": [
        10
      ]
    },
    "d": {
      "type": "integer",
      "examples": [
        90
      ]
    },
    "confidence": {
      "type": "number",
      "examples": [
        0.95
      ]
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}