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muhammad1azmi

google-meridian-mcp

calculate_bayesian_prior

Solve probability equations to convert 95% confidence intervals into Meridian LogNormal (mu, sigma) prior parameters for Bayesian marketing mix models.

Instructions

Solves probability equations to convert 95% CIs into Meridian LogNormal (mu, sigma) prior parameters.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
ci_lowerYesLower bound of 95% Confidence Interval (e.g. 1.2)
ci_upperYesUpper bound of 95% Confidence Interval (e.g. 2.8)
point_estimateYesPoint estimate ROI or multiplier (e.g. 2.0)
experiment_typeNoType of experiment ('geo_lift', 'conversion_lift', 'holdout')geo_lift
Behavior3/5

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

No annotations are provided, so the description carries full burden. It discloses the conversion goal but does not mention side effects, input validation, or output format. The tool appears to be a safe computation, but the description is minimal.

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

Conciseness5/5

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

Single sentence that is concise and front-loaded with the action. No wasted words; every part contributes to understanding.

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?

Given the tool's moderate complexity (4 parameters, no output schema), the description adequately states the purpose. However, it lacks details on output format, constraints (e.g., CI ordering), or error behavior, which would improve completeness.

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%, so the schema already documents each parameter. The description does not add semantic value beyond mentioning the output type ('mu, sigma'), which is implicit from the tool name. Baseline score of 3 is appropriate.

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?

Description explicitly states the tool converts 95% CIs into Meridian LogNormal prior parameters using probability equations. It uses specific verbs ('solves', 'converts') and identifies the resource ('95% CIs', 'Meridian LogNormal prior parameters'), clearly distinguishing it from sibling doc/search tools.

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 on when to use this tool versus alternatives. It does not specify prerequisites, conditions, or when not to use it. The description only states what it does, leaving the agent without context for selection.

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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