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