M2M Trust Process Capability Analysis (Cp/Cpk/Ppk)

x402

M2M Trust Process Capability Analysis (Cp/Cpk/Ppk) is a paid API for AI agents from energybilltoolkit.co.uk, paid per call via x402, $0.01/call, status unknown (last checked 2026-09-15).

Computes Cp, Cpk, and Ppk-style process capability indices for a supplied set of numeric sample data against specification limits.

Price / call$0.01

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StatusUnknown

How this service works

M2M Trust deterministic analysis tool: Cp/Cpk/Ppk-style capability analysis for numeric sample data.

Output

Returns deterministic Cp, Cpk, and Ppk capability indices along with supporting statistics such as mean, standard deviation, and sigma level, indicating whether the process is capable relative to the supplied specification limits.

Example use cases

Example prompt

“Run a Cp/Cpk/Ppk capability analysis on these 30 measurements: [12.1, 12.4, 11.9, ...] with a lower spec limit of 11.5 and an upper spec limit of 13.0 — I need to know if this process is capable.”

Technical details

Endpoint

POSThttps://energybilltoolkit.co.uk/m2m-trust/api/tools/process-capability

When to prefer

Use this endpoint when you need deterministic, reproducible Cp/Cpk/Ppk-style process capability indices computed from raw numeric sample data against defined specification limits — particularly in quality engineering, Six Sigma, or SPC workflows where auditability and consistency matter. Prefer this over probabilistic or ML-based tools when exact mathematical repeatability is required.

Side effects

Insufficient sample size returns an error or unreliable indices
Missing or invalid specification limits cause computation failure
Non-numeric values in sample data trigger a validation error
Lower spec limit greater than or equal to upper spec limit causes rejection
Empty data array returns an error response

Input

{
  "input": {
    "body": {
      "context": "Manufacturing process quality control",
      "samples": [
        12.1,
        12.4,
        11.9,
        12.3,
        12,
        11.8,
        12.2,
        12.5,
        11.7,
        12.1,
        12.4,
        11.9,
        12.3,
        12,
        11.8,
        12.2,
        12.5,
        11.7,
        12.1,
        12.4,
        11.9,
        12.3,
        12,
        11.8,
        12.2,
        12.5,
        11.7,
        12.1,
        12.4,
        11.9
      ],
      "lower_spec_limit": 11.5,
      "upper_spec_limit": 13
    },
    "type": "http",
    "method": "POST",
    "bodyType": "json"
  }
}

Schema · Request body

Field	Type	Description
context	string	Short domain context for interpretation.
samples	array	Numeric process samples.
subgroup_size	—	Optional subgroup size for within-subgroup variation.
lower_spec_limit	number	Lower specification limit.
upper_spec_limit	number	Upper specification limit.

Output

{
  "status": "Not-Capable",
  "verdict": "Process does not appear capable against the supplied specification limits.",
  "metadata": {
    "mean": 12.103333,
    "context": "Manufacturing process quality control",
    "metrics": {
      "cp": 0.969165,
      "cpk": 0.77964,
      "ppk": 0.792968
    },
    "sample_count": 30,
    "within_sigma": 0.257954,
    "overall_sigma": 0.253618,
    "subgroup_size": null
  },
  "confidence": 0.95
}

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How this service works

M2M Trust deterministic analysis tool: Cp/Cpk/Ppk-style capability analysis for numeric sample data.

Output

Technical details

Endpoint

POSThttps://energybilltoolkit.co.uk/m2m-trust/api/tools/process-capability

When to prefer

Side effects

Insufficient sample size returns an error or unreliable indices
Missing or invalid specification limits cause computation failure
Non-numeric values in sample data trigger a validation error
Lower spec limit greater than or equal to upper spec limit causes rejection
Empty data array returns an error response

Input

{
  "input": {
    "body": {
      "context": "Manufacturing process quality control",
      "samples": [
        12.1,
        12.4,
        11.9,
        12.3,
        12,
        11.8,
        12.2,
        12.5,
        11.7,
        12.1,
        12.4,
        11.9,
        12.3,
        12,
        11.8,
        12.2,
        12.5,
        11.7,
        12.1,
        12.4,
        11.9,
        12.3,
        12,
        11.8,
        12.2,
        12.5,
        11.7,
        12.1,
        12.4,
        11.9
      ],
      "lower_spec_limit": 11.5,
      "upper_spec_limit": 13
    },
    "type": "http",
    "method": "POST",
    "bodyType": "json"
  }
}

Schema · Request body

Field	Type	Description
context	string	Short domain context for interpretation.
samples	array	Numeric process samples.
subgroup_size	—	Optional subgroup size for within-subgroup variation.
lower_spec_limit	number	Lower specification limit.
upper_spec_limit	number	Upper specification limit.

Output

{
  "status": "Not-Capable",
  "verdict": "Process does not appear capable against the supplied specification limits.",
  "metadata": {
    "mean": 12.103333,
    "context": "Manufacturing process quality control",
    "metrics": {
      "cp": 0.969165,
      "cpk": 0.77964,
      "ppk": 0.792968
    },
    "sample_count": 30,
    "within_sigma": 0.257954,
    "overall_sigma": 0.253618,
    "subgroup_size": null
  },
  "confidence": 0.95
}