Benjamini-Hochberg FDR API

Controls the false-discovery rate via the Benjamini-Hochberg step-up procedure, returning the critical p-value, monotone BH-adjusted q-values and which discoveries are kept. Answers 'Which p-values survive FDR control?', 'What is the BH critical threshold and adjusted q-values?'.

Price$0.06per request

MethodPOST

Route/v1/stats/benjamini-hochberg-fdr

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

statisticsfdrbenjamini-hochbergfalse-discoverymultiple-testingq-valuep-valuecorrection

API URLhttps://x402.hexl.dev/v1/stats/benjamini-hochberg-fdr

Integration docs

Example request

{
  "pValues": [
    0.001,
    0.008,
    0.039,
    0.041,
    0.9
  ],
  "fdr": 0.05
}

Example response

{
  "fdr": 0.05,
  "m": 5,
  "numRejected": 2,
  "criticalPValue": 0.008,
  "pValues": [
    0.001,
    0.008,
    0.039,
    0.041,
    0.9
  ],
  "adjustedQValues": [
    0.005,
    0.02,
    0.05125,
    0.05125,
    0.9
  ],
  "rejected": [
    true,
    true,
    false,
    false,
    false
  ],
  "rating": "2/5 discoveries at FDR=0.05",
  "interpretation": "Benjamini-Hochberg at FDR=0.05: reject the 2 hypotheses with p ≤ 0.008."
}

Input schema

{
  "type": "object",
  "required": [
    "pValues"
  ],
  "properties": {
    "pValues": {
      "type": "array",
      "items": {
        "type": "number"
      },
      "examples": [
        [
          0.001,
          0.008,
          0.039,
          0.041,
          0.9
        ]
      ]
    },
    "fdr": {
      "type": "number",
      "examples": [
        0.05
      ]
    }
  }
}

Output schema

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