Data Analysis

Contingency Table Chi-Square Fisher Exact Cramér V Tutor

Step-by-step independence testing for 2×2 / R×C contingency tables: Pearson χ², Yates, G-test, Fisher exact, effect sizes, adjusted residuals, Cochran rule and optional Chapman estimate.

html· HTML resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'https://api.elysiatools.com/en/api/tools/contingency-table-chi-square-fisher-exact-cramer-v-tutor' \
  -H 'Content-Type: application/json' \
  -d '{"table":"30, 20\n20, 30","yates":"auto","alpha":0.05,"chapman":false}'

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/contingency-table-chi-square-fisher-exact-cramer-v-tutor

Parameters

Name	Type	Required	Description
table	textarea	Yes	—
yates	select	No	—
alpha	number	No	—
chapman	checkbox	No	For 2×2 mark-recapture data: N̂ = (a+1)(b+1)/(c+1) − 1.

Response format

HTML result

JSON

{
  "result": "<div>Processed HTML content</div>",
  "error": "Error message (optional)",
  "message": "Notification message (optional)",
  "metadata": {
    "key": "value"
  }
}

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-contingency-table-chi-square-fisher-exact-cramer-v-tutor": {
      "name": "contingency-table-chi-square-fisher-exact-cramer-v-tutor",
      "description": "Step-by-step independence testing for 2×2 / R×C contingency tables: Pearson χ², Yates, G-test, Fisher exact, effect sizes, adjusted residuals, Cochran rule and optional Chapman estimate.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=contingency-table-chi-square-fisher-exact-cramer-v-tutor",
      "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": "contingency-table-chi-square-fisher-exact-cramer-v-tutor",
    "arguments": {
  "table": "30, 20\n20, 30",
  "yates": "auto",
  "alpha": 0.05,
  "chapman": false
}
  }
}

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).

Browse tools Open tool

curl -X POST 'https://api.elysiatools.com/en/api/tools/contingency-table-chi-square-fisher-exact-cramer-v-tutor' \ -H 'Content-Type: application/json' \ -d '{"table":"30, 20\n20, 30","yates":"auto","alpha":0.05,"chapman":false}'

Name

Type

Required

Description

table

textarea

Yes

—

yates

select

—

alpha

number

—

chapman

checkbox

For 2×2 mark-recapture data: N̂ = (a+1)(b+1)/(c+1) − 1.

{ "mcpServers": { "elysiatools-contingency-table-chi-square-fisher-exact-cramer-v-tutor": { "name": "contingency-table-chi-square-fisher-exact-cramer-v-tutor", "description": "Step-by-step independence testing for 2×2 / R×C contingency tables: Pearson χ², Yates, G-test, Fisher exact, effect sizes, adjusted residuals, Cochran rule and optional Chapman estimate.", "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=contingency-table-chi-square-fisher-exact-cramer-v-tutor", "command": "", "args": [], "env": {}, "isActive": true, "type": "sse" } } }

{ "jsonrpc": "2.0", "id": 2, "method": "tools/call", "params": { "name": "contingency-table-chi-square-fisher-exact-cramer-v-tutor", "arguments": { "table": "30, 20\n20, 30", "yates": "auto", "alpha": 0.05, "chapman": false } } }