Statistics Test

Overview

Perform basic statistical tests using pure Python (no scipy/numpy required). Supports: (1) Chi-square goodness-of-fit test with p-value via gamma function, (2) Fisher's exact test for 2x2 contingency tables via hypergeometric distribution, (3) Simple linear regression (OLS) with R-squared, t-statistics, and p-values via incomplete beta function, (4) Two-sample t-test (Welch's) for comparing group means. Use for: hypothesis testing, contingency table analysis, regression analysis, group comparison.

Status

The most recent probe succeeded. Safe to call from the agent today.

Last probed

1d ago

Last success

1d ago

Last latency

114ms

Schema

JSON Schema the agent (or your API call) must match.

{
  "properties": {
    "a": {
      "description": "Top-left cell of 2x2 table (required for fisher_exact).",
      "type": [
        "integer",
        "null"
      ]
    },
    "alternative": {
      "default": "two-sided",
      "description": "Alternative hypothesis for Fisher's exact test (default: two-sided).",
      "enum": [
        "two-sided",
        "less",
        "greater",
        null
      ],
      "type": [
        "string",
        "null"
      ]
    },
    "b": {
      "description": "Top-right cell of 2x2 table (required for fisher_exact).",
      "type": [
        "integer",
        "null"
      ]
    },
    "c": {
      "description": "Bottom-left cell of 2x2 table (required for fisher_exact).",
      "type": [
        "integer",
        "null"
      ]
    },
    "d": {
      "description": "Bottom-right cell of 2x2 table (required for fisher_exact).",
      "type": [
        "integer",
        "null"
      ]
    },
    "data_x": {
      "description": "X values for linear_regression, or group 1 data for t_test.",
      "items": {
        "type": "number"
      },
      "type": [
        "array",
        "null"
      ]
    },
    "data_y": {
      "description": "Y values for linear_regression, or group 2 data for t_test.",
      "items": {
        "type": "number"
      },
      "type": [
        "array",
        "null"
      ]
    },
    "expected": {
      "description": "Expected counts/frequencies (required for chi_square). Will be rescaled to match observed total if totals differ.",
      "items": {
        "type": "number"
      },
      "type": [
        "array",
        "null"
      ]
    },
    "observed": {
      "description": "Observed counts/frequencies (required for chi_square).",
      "items": {
        "type": "number"
      },
      "type": [
        "array",
        "null"
      ]
    },
    "operation": {
      "description": "Test type: 'chi_square' for goodness-of-fit, 'fisher_exact' for 2x2 tables, 'linear_regression' for OLS, 't_test' for two-sample Welch's t-test.",
      "enum": [
        "chi_square",
        "fisher_exact",
        "linear_regression",
        "t_test"
      ],
      "type": "string"
    }
  },
  "required": [
    "operation"
  ],
  "type": "object"
}

Examples (1)

{
  "operation": ""
}

Identifiers

Catalog ID

tu_Statistics_test

Tool name

Statistics_test

Added

2026-04-30 22:47Z

Tags

tooluniverse