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amichae2

Math MCP Server

by amichae2

bootstrap

Estimate confidence intervals and quantify uncertainty in statistical estimates using bootstrap resampling on provided data.

Instructions

Estimate bootstrap confidence intervals and uncertainty.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
dataYes
statisticNomean
n_resamplesNo
confidence_levelNo
methodNopercentile
random_stateNo

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Behavior2/5

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

No annotations are present, so the description carries full burden. It only says 'Estimate bootstrap confidence intervals and uncertainty,' missing details on randomness, computational cost, or assumptions. This is insufficient for safe invocation.

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

Conciseness3/5

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

The description is a single sentence, which is concise but overly brief. It lacks structure and does not prioritize key information; it could be more informative without being verbose.

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

Completeness2/5

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

Given the tool has 6 parameters and no annotation coverage, the description fails to provide enough context for correct usage. Even with an output schema present, the description omits necessary behavioral and parameter details.

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

Parameters2/5

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

With 0% schema description coverage, the description adds no information about what each parameter does. The input schema provides titles and defaults but no descriptions, and the tool description does not compensate.

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

Purpose4/5

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

The description clearly states the tool estimates bootstrap confidence intervals and uncertainty, which specifies the purpose. However, it does not explicitly distinguish from siblings like hypothesis_test or curve_fit, though the unique name helps.

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

Usage Guidelines2/5

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

No guidance is provided on when to use this tool versus alternatives (e.g., other resampling or statistical methods). The description lacks contextual advice for the agent to decide.

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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