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Data Analysis

A/B Test Significance Calculator

Compute conversion-rate or mean differences, 95%/99% confidence intervals, two-sided p-values (Z-test for proportions, Welch t for continuous metrics), lift, sample size for 80%/90% power, recommended experiment days, plus sequential-testing and Bonferroni multiple-comparison warnings.

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Quick start

Call this tool from your code in three languages.

cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/ab-test-significance-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"testType":"proportion","cSuccess":1200,"cVisitors":20000,"tSuccess":1320,"tVisitors":20000,"cMean":42.5,"cSd":12,"cN":500,"tMean":45.8,"tSd":12.5,"tN":500,"alpha":"0.05","power":"0.8","baselineCr":6,"mdeLift":5,"dailyVisitors":4000,"split":"50","comparisons":1,"decimalPlaces":2}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP
POST https://api.elysiatools.com/en/api/tools/ab-test-significance-calculator

Parameters

NameTypeRequiredDescription
testTypeselectNo—
cSuccessnumberNo—
cVisitorsnumberNo—
tSuccessnumberNo—
tVisitorsnumberNo—
cMean

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json
{
  "mcpServers": {
    "elysiatools-ab-test-significance-calculator": {
      "name": "ab-test-significance-calculator",
      "description": "Compute conversion-rate or mean differences, 95%/99% confidence intervals, two-sided p-values (Z-test for proportions, Welch t for continuous metrics), lift, sample size for 80%/90% power, recommended experiment days, plus sequential-testing and Bonferroni multiple-comparison warnings.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=ab-test-significance-calculator",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list
{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call
{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "ab-test-significance-calculator",
    "arguments": {
  "testType": "proportion",
  "cSuccess": 1200,
  "cVisitors": 20000,
  "tSuccess": 1320,
  "tVisitors": 20000,
  "cMean": 42.5,
  "cSd": 12,
  "cN": 500,
  "tMean": 45.8,
  "tSd": 12.5,
  "tN": 500,
  "alpha": "0.05",
  "power": "0.8",
  "baselineCr": 6,
  "mdeLift": 5,
  "dailyVisitors": 4000,
  "split": "50",
  "comparisons": 1,
  "decimalPlaces": 2
}
  }
}
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© 2026 Elysia Tools. Developer documentation.

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number
No
—
cSdnumberNo—
cNnumberNo—
tMeannumberNo—
tSdnumberNo—
tNnumberNo—
alphaselectNo—
powerselectNo—
baselineCrnumberNo—
mdeLiftnumberNo—
dailyVisitorsnumberNo—
splitselectNo—
comparisonsnumberNo—
decimalPlacesnumberNo—

Response format

HTML result

JSON
{
  "result": "<div>Processed HTML content</div>",
  "error": "Error message (optional)",
  "message": "Notification message (optional)",
  "metadata": {
    "key": "value"
  }
}
Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).

Questions or issues? Contact [email protected]