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Rahul D Sarker: Marketing & RevOps Tools

A/B Test Significance Calculator

ab_test_significance_calculator
Read-onlyIdempotent

Run a two-proportion z-test on an A/B test to get relative uplift and statistical confidence. See the full version at https://rahuldsarker.co/calculators/ab-test-significance-calculator

Input Schema

NameRequiredDescriptionDefault
currencyNoISO 4217 code for money in the result, e.g. "USD", "INR", "EUR", "GBP". Omit to show plain numbers.
visitorsAYesVisitors in variant A (control)
visitorsBYesVisitors in variant B (test)
conversionsAYesConversions in variant A (control)
conversionsBYesConversions in variant B (test)

Output Schema

NameRequiredDescriptionDefault
urlYes
kindYes
toolYesThe calculator tool that produced this result
notesYes
titleYes
inputsYes
compactYes
metricsYesEvery "Label: value" line of the result; value is the first number on the line
currencyYes
benchmarksYesRule-of-thumb verdicts for the headline numbers
bookingUrlYes
calculatorYesSlug of the interactive calculator on rahuldsarker.co

Schema Changelog

Changes observed during successful MCP inspections.

  1. Changed2 schema fields changed
    • addedInput schema / properties / currency
      Added value: +{
      +  "description": "ISO 4217 code for money in the result, e.g. \"USD\", \"INR\", \"EUR\", \"GBP\". Omit to show plain numbers.",
      +  "pattern": "^[A-Za-z]{3}$",
      +  "type": "string"
      +}
    • changedOutput schema / (root)
      Previous value: -nullNew value: +{
      +  "$schema": "https://json-schema.org/draft/2020-12/schema",
      +  "additionalProperties": false,
      +  "properties": {
      +    "benchmarks": {
      +      "description": "Rule-of-thumb verdicts for the headline numbers",
      +      "items": {
      +        "additionalProperties": false,
      +        "properties": {
      +          "band": {
      +            "type": "string"
      +          },
      +          "display": {
      +            "type": "string"
      +          },
      +          "metric": {
      +            "type": "string"
      +          },
      +          "name": {
      +            "type": "string"
      +          },
      +          "read": {
      +            "type": "string"
      +          },
      +          "segment": {
      +            "type": [
      +              "string",
      +              "null"
      +            ]
      +          },
      +          "source": {
      +            "type": "string"
      +          },
      +          "target": {
      +            "type": "string"
      +          },
      +          "tone": {
      +            "enum": [
      +              "good",
      +              "ok",
      +              "warn",
      +              "bad"
      +            ],
      +            "type": "string"
      +          },
      +          "value": {
      +            "type": "number"
      +          }
      +        },
      +        "required": [
      +          "metric",
      +          "name",
      +          "value",
      +          "display",
      +          "band",
      +          "tone",
      +          "read",
      +          "target",
      +          "segment",
      +          "source"
      +        ],
      +        "type": "object"
      +      },
      +      "type": "array"
      +    },
      +    "bookingUrl": {
      +      "type": "string"
      +    },
      +    "calculator": {
      +      "description": "Slug of the interactive calculator on rahuldsarker.co",
      +      "type": "string"
      +    },
      +    "compact": {
      +      "type": "boolean"
      +    },
      +    "currency": {
      +      "type": [
      +        "string",
      +        "null"
      +      ]
      +    },
      +    "inputs": {
      +      "additionalProperties": {},
      +      "propertyNames": {
      +        "type": "string"
      +      },
      +      "type": "object"
      +    },
      +    "kind": {
      +      "const": "calculator",
      +      "type": "string"
      +    },
      +    "metrics": {
      +      "description": "Every \"Label: value\" line of the result; value is the first number on the line",
      +      "items": {
      +        "additionalProperties": false,
      +        "properties": {
      +          "display": {
      +            "type": "string"
      +          },
      +          "label": {
      +            "type": "string"
      +          },
      +          "unit": {
      +            "anyOf": [
      +              {
      +                "enum": [
      +                  "currency",
      +                  "x",
      +                  "%",
      +                  "months"
      +                ],
      +                "type": "string"
      +              },
      +              {
      +                "type": "null"
      +              }
      +            ]
      +          },
      +          "value": {
      +            "type": [
      +              "number",
      +              "null"
      +            ]
      +          }
      +        },
      +        "required": [
      +          "label",
      +          "value",
      +          "unit",
      +          "display"
      +        ],
      +        "type": "object"
      +      },
      +      "type": "array"
      +    },
      +    "notes": {
      +      "items": {
      +        "type": "string"
      +      },
      +      "type": "array"
      +    },
      +    "title": {
      +      "type": "string"
      +    },
      +    "tool": {
      +      "description": "The calculator tool that produced this result",
      +      "type": "string"
      +    },
      +    "url": {
      +      "type": "string"
      +    }
      +  },
      +  "required": [
      +    "kind",
      +    "tool",
      +    "title",
      +    "calculator",
      +    "url",
      +    "bookingUrl",
      +    "currency",
      +    "compact",
      +    "inputs",
      +    "metrics",
      +    "notes",
      +    "benchmarks"
      +  ],
      +  "type": "object"
      +}
  2. First observed

TDQS

A3.7/5.0
Behavior3/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Annotations already declare a pure read-only, idempotent, non-destructive, closed-world computation, so the safety profile is fully covered. The description adds the exact statistical method (two-proportion z-test), which is genuinely useful behavioral context, but says nothing about edge cases such as zero visitors or low sample sizes.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

Front-loaded with the core purpose in one tight sentence; the follow-on link is short but is promotional rather than agent-relevant, so it does not fully earn its place.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a stateless calculator with complete annotations, a 100%-covered schema, and an output schema that covers return values, the description is sufficient. Only minor behavioral caveats (input validity or sample-size assumptions) are absent.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 100% with clear per-parameter descriptions, so the schema carries the parameter burden. The description adds no extra meaning about the required counts or the optional currency field, making the baseline 3 correct.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose5/5

Does the description clearly state what the tool does and how it differs from similar tools?

States a specific verb (Run) and resource (two-proportion z-test on an A/B test) and names the outputs (relative uplift, statistical confidence), so the agent knows exactly what computation this performs. No sibling tool duplicates an A/B significance test, so it is unambiguous.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines3/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The usage scenario is implied: this applies when you have A/B visitors/conversions and want significance. However, the description gives no explicit when-to-use, when-not-to-use, or alternative referral guidance.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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