ReddRadar
Agent skill
process-capability-calculator
Process capability analysis skill with Cp, Cpk, Pp, Ppk calculations and specification compliance assessment
Install this agent skill to your Project
npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/domains/business/operations/skills/process-capability-calculator
Metadata
Additional technical details for this skill
- domain
- business
- category
- six-sigma-spc
- specialization
- operations
SKILL.md
Process Capability Calculator
Overview
The Process Capability Calculator skill provides comprehensive capabilities for analyzing process capability against specification limits. It supports multiple capability indices, normality testing, and defect rate estimation for both short-term and long-term performance assessment.
Capabilities
- Capability index calculation (Cp, Cpk, Pp, Ppk)
- Specification limit analysis
- Process performance metrics
- Normality testing
- Non-normal data transformation
- Capability histogram generation
- PPM defect rate estimation
Used By Processes
- SIX-003: Process Capability Analysis
- SIX-002: Statistical Process Control Implementation
- QMS-004: Cost of Quality Analysis
Tools and Libraries
- Statistical software APIs
- Quality analysis libraries
- Data transformation tools
- Visualization libraries
Usage
skill: process-capability-calculator
inputs:
data: [10.2, 10.1, 10.3, 10.0, 10.2, 10.4, 10.3, 10.2, 10.5, 10.3]
specification_limits:
usl: 10.8
lsl: 9.2
target: 10.0
analysis_type: "short_term" # short_term | long_term
normality_test: true
outputs:
- capability_indices
- ppm_estimates
- sigma_level
- histogram_with_specs
- normality_assessment
- recommendations
Capability Index Formulas
Short-Term (Potential) Capability
Cp = (USL - LSL) / (6 * sigma_within)
Cpk = min[(USL - mean) / (3 * sigma_within), (mean - LSL) / (3 * sigma_within)]
Long-Term (Actual) Performance
Pp = (USL - LSL) / (6 * sigma_overall)
Ppk = min[(USL - mean) / (3 * sigma_overall), (mean - LSL) / (3 * sigma_overall)]
Capability Interpretation
| Cp/Cpk Value | Interpretation | Sigma Level |
|---|---|---|
| < 0.67 | Very poor | < 2 sigma |
| 0.67 - 1.00 | Poor | 2 - 3 sigma |
| 1.00 - 1.33 | Marginal | 3 - 4 sigma |
| 1.33 - 1.67 | Good | 4 - 5 sigma |
| 1.67 - 2.00 | Very good | 5 - 6 sigma |
| > 2.00 | Excellent | > 6 sigma |
PPM Defect Rate Estimation
| Cpk | PPM (one-sided) | % Yield |
|---|---|---|
| 1.00 | 1,350 | 99.865% |
| 1.33 | 32 | 99.997% |
| 1.67 | 0.3 | 99.99997% |
| 2.00 | 0.001 | 99.9999999% |
Integration Points
- Quality Management Systems
- Statistical analysis software
- SPC platforms
- Customer reporting systems
Recommended Agent Skills
Expand your agent's capabilities with these related and highly-rated skills.
a5c-ai/babysitter
gsd-tools
Central utility skill for GSD operations. Provides config parsing, slug generation, timestamps, path operations, and orchestrates calls to other specialized skills. Acts as the unified entry point that the original gsd-tools.cjs provided via its lib/ modules (commands, config, core, init).
a5c-ai/babysitter
model-profile-resolution
Resolve model profile (quality/balanced/budget) at orchestration start and map agents to specific models. Enables cost/quality tradeoffs by selecting appropriate AI models for each agent role.
a5c-ai/babysitter
verification-suite
Plan structure validation, phase completeness checks, reference integrity verification, and artifact existence confirmation. Provides the structured verification layer ensuring GSD artifacts are well-formed and complete.
a5c-ai/babysitter
state-management
STATE.md reading, writing, and field-level updates. Provides cross-session state persistence via .planning/STATE.md with structured fields for current task, completed phases, blockers, decisions, and quick tasks.
a5c-ai/babysitter
git-integration
Git commit patterns, formats, and conventions for GSD methodology. Provides atomic commits per task, structured commit messages, planning file commits, branch management, and milestone tag operations.
a5c-ai/babysitter
frontmatter-parsing
YAML frontmatter parsing and manipulation for .planning/ documents. Provides read, write, update, query, and validation operations on frontmatter blocks in GSD markdown artifacts.
Didn't find tool you were looking for?