gage-rr-analyzer

Gage R&R Analyzer

Overview

The Gage R&R Analyzer skill provides comprehensive capabilities for conducting Measurement System Analysis (MSA) studies. It supports Gage R&R study design, ANOVA-based variance decomposition, and measurement system adequacy assessment following AIAG guidelines.

Capabilities

• Gage R&R study design
• ANOVA variance decomposition
• Repeatability analysis
• Reproducibility analysis
• %GRR calculation
• Number of distinct categories
• Measurement bias and linearity
• Acceptance criteria evaluation

Used By Processes

• SIX-004: Measurement System Analysis
• SIX-002: Statistical Process Control Implementation
• QMS-003: Quality Audit Management

Tools and Libraries

• Minitab API
• Statistical analysis packages
• Calibration management systems
• Data collection tools

Usage

skill: gage-rr-analyzer
inputs:
  study_type: "crossed"  # crossed | nested
  operators: 3
  parts: 10
  trials: 3
  measurements:
    - operator: "A"
      part: 1
      trial: 1
      value: 10.2
    # ... additional measurements
  tolerance: 1.6  # USL - LSL
outputs:
  - variance_components
  - percent_grr
  - percent_tolerance
  - ndc
  - acceptance_decision
  - detailed_report

Variance Components

| Component | Source | Description |

|-----------|--------|-------------|

| Part-to-Part | Process | Variation between parts |

| Repeatability | Equipment | Variation from repeated measurements |

| Reproducibility | Operator | Variation between operators |

| Part x Operator | Interaction | Operator effect varies by part |

Acceptance Criteria (AIAG Guidelines)

| %GRR | Decision |

|------|----------|

| < 10% | Acceptable |

| 10% - 30% | Marginal, may be acceptable |

| > 30% | Unacceptable |

Number of Distinct Categories (ndc)

ndc = 1.41 * (Part Variation / GRR)

Interpretation:
- ndc >= 5: Adequate measurement system
- ndc < 5: Measurement system needs improvement

Study Design Requirements

| Study Type | Minimum Parts | Minimum Operators | Minimum Trials |

|------------|---------------|-------------------|----------------|

| Standard | 10 | 3 | 2-3 |

| Attribute | 30 | 3 | 3 |

| Destructive | Use nested design | 3 | 1 |

Integration Points

• Calibration management systems
• Quality Management Systems
• Statistical analysis software
• Training management systems