{
  "title": "Pooled summary statistics",
  "human_url": "https://happytails.ai/en/calculators/pooled-summary-statistics/",
  "agent_url": "https://happytails.ai/agents/en/calculators/pooled-summary-statistics/",
  "language": "en",
  "markdown_url": "https://happytails.ai/en/calculators/pooled-summary-statistics.md",
  "content": "Pooled summary statistics\nCombine subgroup sample counts, means and standard deviations into overall summary statistics.\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 Pooled summary statistics\nEnter the observations or summary values.\nChoose the method and check its assumptions.\nReview the result and download the calculation.\nUseful next steps\nSample size calculator\nConfidence interval calculator\nChoose the model before reading the result\nCombine subgroup sample counts, means and standard deviations into overall summary statistics.\nCheck the assumptions\nCSV header must be n,mean,sd. Up to 1,000 non-overlapping groups and ten million combined observations. Standard deviations use n−1. A group of one must have SD zero. Groups must measure the same variable and use the same units. This is not a meta-analysis.\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": "Sample size calculator",
      "url": "https://happytails.ai/en/calculators/sample-size-calculator/"
    },
    {
      "name": "Confidence interval calculator",
      "url": "https://happytails.ai/en/calculators/confidence-interval-calculator/"
    }
  ],
  "tool": {
    "id": "pooled-summary-statistics",
    "category": "calculators",
    "built": true,
    "requirements": "CSV header must be n,mean,sd. Up to 1,000 non-overlapping groups and ten million combined observations. Standard deviations use n−1. A group of one must have SD zero. Groups must measure the same variable and use the same units. This is not a meta-analysis.",
    "implementation": {
      "fields": [],
      "note": "Paste CSV with the exact header n,mean,sd, followed by up to 1,000 groups. Use each group’s sample SD (n−1 denominator), common measurement units and non-overlapping observations. A group with one observation must use SD zero. This is not a meta-analysis.",
      "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": "# Pooled summary statistics\n\n- Human page: https://happytails.ai/en/calculators/pooled-summary-statistics/\n- Markdown: https://happytails.ai/en/calculators/pooled-summary-statistics.md\n- Structured JSON: https://happytails.ai/agents/en/calculators/pooled-summary-statistics/index.json\n- Visibility: public\n\n## Tool capabilities\n\n| Property | Value |\n| --- | --- |\n| Tool ID | `pooled-summary-statistics` |\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 CSV with the exact header n,mean,sd, followed by up to 1,000 groups. Use each group’s sample SD (n−1 denominator), common measurement units and non-overlapping observations. A group with one observation must use SD zero. This is not a meta-analysis.\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\nNo additional settings are declared for this tool.\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\nCSV header must be n,mean,sd. Up to 1,000 non-overlapping groups and ten million combined observations. Standard deviations use n−1. A group of one must have SD zero. Groups must measure the same variable and use the same units. This is not a meta-analysis.\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\": \"pooled-summary-statistics\",\n  \"category\": \"calculators\",\n  \"built\": true,\n  \"requirements\": \"CSV header must be n,mean,sd. Up to 1,000 non-overlapping groups and ten million combined observations. Standard deviations use n−1. A group of one must have SD zero. Groups must measure the same variable and use the same units. This is not a meta-analysis.\",\n  \"implementation\": {\n    \"fields\": [],\n    \"note\": \"Paste CSV with the exact header n,mean,sd, followed by up to 1,000 groups. Use each group’s sample SD (n−1 denominator), common measurement units and non-overlapping observations. A group with one observation must use SD zero. This is not a meta-analysis.\",\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\nCombine subgroup sample counts, means and standard deviations into overall summary statistics.\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 Pooled summary statistics\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- [Sample size calculator](https://happytails.ai/en/calculators/sample-size-calculator/) ([Markdown](https://happytails.ai/en/calculators/sample-size-calculator.md))\n\n- [Confidence interval calculator](https://happytails.ai/en/calculators/confidence-interval-calculator/) ([Markdown](https://happytails.ai/en/calculators/confidence-interval-calculator.md))\n\n## Choose the model before reading the result\n\nCombine subgroup sample counts, means and standard deviations into overall summary statistics.\n\n### Check the assumptions\n\nCSV header must be n,mean,sd. Up to 1,000 non-overlapping groups and ten million combined observations. Standard deviations use n−1. A group of one must have SD zero. Groups must measure the same variable and use the same units. This is not a meta-analysis.\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"
}