{
  "title": "Multiple testing correction",
  "human_url": "https://happytails.ai/en/calculators/multiple-testing-correction/",
  "agent_url": "https://happytails.ai/agents/en/calculators/multiple-testing-correction/",
  "language": "en",
  "markdown_url": "https://happytails.ai/en/calculators/multiple-testing-correction.md",
  "content": "Multiple testing correction\nAdjust a complete family of p-values using Holm, Bonferroni, Benjamini–Hochberg or Benjamini–Yekutieli.\nHow can we improve this tool?\nReport a problem or share an idea.\nPlease leave out private information. Your message and the tool name go to our team via PostHog.\nHow to use Multiple testing correction\nEnter the observations or summary values.\nChoose the method and check its assumptions.\nReview the result and download the calculation.\nUseful next steps\nPooled summary statistics\nSample size calculator\nChoose the model before reading the result\nAdjust a complete family of p-values using Holm, Bonferroni, Benjamini–Hochberg or Benjamini–Yekutieli.\nCheck the assumptions\nUp to 10,000 p-values, decimal-point notation, each from 0 to 1. Use the entire planned family. Holm and Bonferroni control family-wise error. BH controls false discovery rate under independence or appropriate positive dependence; BY supports arbitrary dependence with valid input p-values.\nKeep the calculation\nDownload the JSON for unrounded results and settings, CSV for the table, and the separate assumptions note. The calculation runs in your browser.",
  "content_format": "text/plain",
  "visibility": "public",
  "links": [
    {
      "name": "Pooled summary statistics",
      "url": "https://happytails.ai/en/calculators/pooled-summary-statistics/"
    },
    {
      "name": "Sample size calculator",
      "url": "https://happytails.ai/en/calculators/sample-size-calculator/"
    }
  ],
  "tool": {
    "id": "multiple-testing-correction",
    "category": "calculators",
    "built": true,
    "requirements": "Up to 10,000 p-values, decimal-point notation, each from 0 to 1. Use the entire planned family. Holm and Bonferroni control family-wise error. BH controls false discovery rate under independence or appropriate positive dependence; BY supports arbitrary dependence with valid input p-values.",
    "implementation": {
      "fields": [
        {
          "key": "method",
          "label": "Adjustment method",
          "value": "Holm",
          "type": "select",
          "values": [
            "Holm",
            "Bonferroni",
            "Benjamini–Hochberg",
            "Benjamini–Yekutieli"
          ]
        },
        {
          "key": "alpha",
          "label": "Decision threshold alpha",
          "value": 0.05,
          "type": "number",
          "min": 1e-06,
          "max": 0.5,
          "step": "any"
        }
      ],
      "note": "Paste the complete planned family of p-values from 0 to 1, separated by spaces, newlines, commas or semicolons. Use decimal points. Up to 10,000 values. Holm/Bonferroni control family-wise error; BH/BY control false discovery rate under their stated assumptions.",
      "input": true,
      "live": true,
      "presentation": "metrics",
      "background": true,
      "inputMaxLength": 1000000,
      "inputErrorCode": "STAT_SIZE",
      "experience": {
        "automatic": true,
        "single": false,
        "inputMaxLength": 1000000,
        "inputMode": "text",
        "label": "Your text",
        "placeholder": "Type or paste your input…",
        "help": "Change the input or settings to update your result. Results update as you type. Up to 1,000,000 characters.",
        "action": null
      },
      "mode": "automatic",
      "interactive": false
    },
    "execution": "Browser interface",
    "api": null,
    "browser_agent": {
      "supported": true,
      "name": "run_current_tool",
      "discovery": "WebMCP on the human page in a supporting browser",
      "verification": "See audit/API-AUDIT.md; availability is not verification"
    }
  },
  "markdown": "# Multiple testing correction\n\n- Human page: https://happytails.ai/en/calculators/multiple-testing-correction/\n- Markdown: https://happytails.ai/en/calculators/multiple-testing-correction.md\n- Structured JSON: https://happytails.ai/agents/en/calculators/multiple-testing-correction/index.json\n- Visibility: public\n\n## Tool capabilities\n\n| Property | Value |\n| --- | --- |\n| Tool ID | `multiple-testing-correction` |\n| Category | calculators |\n| Implementation | Registered implementation. Registration alone is not a production-quality guarantee. |\n| Browser execution | Automatic updates after valid input or file selection. |\n| Browser processing | Browser; see tool notes for network behavior. |\n| HTTP API | Not callable through HTTP. |\n| Browser-agent interface | run_current_tool |\n\n### Implementation notes\n\nPaste the complete planned family of p-values from 0 to 1, separated by spaces, newlines, commas or semicolons. Use decimal points. Up to 10,000 values. Holm/Bonferroni control family-wise error; BH/BY control false discovery rate under their stated assumptions.\n\n### Inputs and settings\n\nText input: Your text.\n\nExample or placeholder shown in the interface (not a validated fixture):\n\n```text\nType or paste your input…\n```\n\nChange the input or settings to update your result. Results update as you type. Up to 1,000,000 characters.\n\n| Setting | Meaning | Control type | Default | Constraints |\n| --- | --- | --- | --- | --- |\n| `method` | Adjustment method | select | \"Holm\" | Allowed: Holm, Bonferroni, Benjamini–Hochberg, Benjamini–Yekutieli |\n| `alpha` | Decision threshold alpha | number | 0.05 | min=1e-06 max=0.5 step=any |\n\n### Browser-agent workflow\n\n1. Open the human page in a browser that supports WebMCP.\n2. Discover the interface exposed by that page; use its actual schema.\n3. Select files on the page first when the tool requires files.\n4. Call `run_current_tool` with valid input and settings.\n5. Inspect the returned result or error and the displayed output. Retrieve files from the displayed download links.\n\nCalls do not automatically copy or download results. Browser permissions still apply. Interface availability alone is not proof of successful execution.\n\n### Planning specification\n\nUp to 10,000 p-values, decimal-point notation, each from 0 to 1. Use the entire planned family. Holm and Bonferroni control family-wise error. BH controls false discovery rate under independence or appropriate positive dependence; BY supports arbitrary dependence with valid input p-values.\n\nThis describes intended requirements. Use the implementation notes, interface schema and observed output to determine current support.\n\n### Complete machine-readable capability record\n\n```json\n{\n  \"id\": \"multiple-testing-correction\",\n  \"category\": \"calculators\",\n  \"built\": true,\n  \"requirements\": \"Up to 10,000 p-values, decimal-point notation, each from 0 to 1. Use the entire planned family. Holm and Bonferroni control family-wise error. BH controls false discovery rate under independence or appropriate positive dependence; BY supports arbitrary dependence with valid input p-values.\",\n  \"implementation\": {\n    \"fields\": [\n      {\n        \"key\": \"method\",\n        \"label\": \"Adjustment method\",\n        \"value\": \"Holm\",\n        \"type\": \"select\",\n        \"values\": [\n          \"Holm\",\n          \"Bonferroni\",\n          \"Benjamini–Hochberg\",\n          \"Benjamini–Yekutieli\"\n        ]\n      },\n      {\n        \"key\": \"alpha\",\n        \"label\": \"Decision threshold alpha\",\n        \"value\": 0.05,\n        \"type\": \"number\",\n        \"min\": 1e-06,\n        \"max\": 0.5,\n        \"step\": \"any\"\n      }\n    ],\n    \"note\": \"Paste the complete planned family of p-values from 0 to 1, separated by spaces, newlines, commas or semicolons. Use decimal points. Up to 10,000 values. Holm/Bonferroni control family-wise error; BH/BY control false discovery rate under their stated assumptions.\",\n    \"input\": true,\n    \"live\": true,\n    \"presentation\": \"metrics\",\n    \"background\": true,\n    \"inputMaxLength\": 1000000,\n    \"inputErrorCode\": \"STAT_SIZE\",\n    \"experience\": {\n      \"automatic\": true,\n      \"single\": false,\n      \"inputMaxLength\": 1000000,\n      \"inputMode\": \"text\",\n      \"label\": \"Your text\",\n      \"placeholder\": \"Type or paste your input…\",\n      \"help\": \"Change the input or settings to update your result. Results update as you type. Up to 1,000,000 characters.\",\n      \"action\": null\n    },\n    \"mode\": \"automatic\",\n    \"interactive\": false\n  },\n  \"execution\": \"Browser interface\",\n  \"api\": null,\n  \"browser_agent\": {\n    \"supported\": true,\n    \"name\": \"run_current_tool\",\n    \"discovery\": \"WebMCP on the human page in a supporting browser\",\n    \"verification\": \"See audit/API-AUDIT.md; availability is not verification\"\n  }\n}\n```\n\n## Page guide\n\nAdjust a complete family of p-values using Holm, Bonferroni, Benjamini–Hochberg or Benjamini–Yekutieli.\n\nHow can we improve this tool?\n\nReport a problem or share an idea.\n\nPlease leave out private information. Your message and the tool name go to our team via PostHog.\n\n### How to use Multiple testing correction\n\n1. Enter the observations or summary values.\n2. Choose the method and check its assumptions.\n3. Review the result and download the calculation.\n\n## Useful next steps\n\n- [Pooled summary statistics](https://happytails.ai/en/calculators/pooled-summary-statistics/) ([Markdown](https://happytails.ai/en/calculators/pooled-summary-statistics.md))\n\n- [Sample size calculator](https://happytails.ai/en/calculators/sample-size-calculator/) ([Markdown](https://happytails.ai/en/calculators/sample-size-calculator.md))\n\n## Choose the model before reading the result\n\nAdjust a complete family of p-values using Holm, Bonferroni, Benjamini–Hochberg or Benjamini–Yekutieli.\n\n### Check the assumptions\n\nUp to 10,000 p-values, decimal-point notation, each from 0 to 1. Use the entire planned family. Holm and Bonferroni control family-wise error. BH controls false discovery rate under independence or appropriate positive dependence; BY supports arbitrary dependence with valid input p-values.\n\n### Keep the calculation\n\nDownload the JSON for unrounded results and settings, CSV for the table, and the separate assumptions note. The calculation runs in your browser.\n"
}