Bonferroni/Holm/Sidak correction API

Applies a family-wise multiple-comparison correction (Bonferroni, Holm step-down, or Sidak) to a set of p-values, returning adjusted p-values, the per-comparison alpha and which hypotheses are rejected. Answers 'How do I correct p-values for multiple testing?', 'Which results survive Holm/Bonferroni correction?'.

Price$0.06per request

MethodPOST

Route/v1/stats/multiple-comparison-correction

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

statisticsmultiple-comparisonsbonferroniholmsidakp-valuefamily-wisecorrection

API URLhttps://x402.hexl.dev/v1/stats/multiple-comparison-correction

Integration docs

Example request

{
  "pValues": [
    0.01,
    0.04,
    0.03,
    0.005
  ],
  "method": "holm"
}

Example response

{
  "method": "holm",
  "alpha": 0.05,
  "m": 4,
  "comparisonwiseAlpha": null,
  "pValues": [
    0.01,
    0.04,
    0.03,
    0.005
  ],
  "adjustedPValues": [
    0.03,
    0.06,
    0.06,
    0.02
  ],
  "rejected": [
    true,
    false,
    false,
    true
  ],
  "numRejected": 2,
  "rating": "2/4 significant after holm",
  "interpretation": "holm correction over 4 tests at alpha=0.05: 2 reject H0."
}

Input schema

{
  "type": "object",
  "required": [
    "pValues"
  ],
  "properties": {
    "pValues": {
      "type": "array",
      "items": {
        "type": "number"
      },
      "examples": [
        [
          0.01,
          0.04,
          0.03,
          0.005
        ]
      ]
    },
    "alpha": {
      "type": "number",
      "examples": [
        0.05
      ]
    },
    "method": {
      "type": "string",
      "enum": [
        "bonferroni",
        "holm",
        "sidak"
      ]
    }
  }
}

Output schema

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