capability for attribute data
**Capability for attribute data** is the **quality assessment approach for pass-fail or count-based outcomes where continuous-variable Cp and Cpk are not applicable** - it uses defect-rate and binomial/Poisson metrics to evaluate process performance.
**What Is Capability for attribute data?**
- **Definition**: Capability evaluation for discrete outcomes such as defect present/absent or defects per unit.
- **Core Metrics**: DPMO, ppm defective, yield, sigma level equivalents, and confidence bounds.
- **Data Models**: Binomial for pass-fail and Poisson/negative-binomial for defect counts.
- **Reporting Focus**: Expected nonconformance rate under current process conditions.
**Why Capability for attribute data Matters**
- **Method Correctness**: Applying continuous capability indices to binary data gives misleading conclusions.
- **Quality Governance**: Attribute metrics align with inspection and escape-rate management workflows.
- **Customer Alignment**: Many contracts specify ppm or DPMO limits for acceptance.
- **Improvement Tracking**: Discrete metrics reveal effectiveness of defect-prevention actions over time.
- **Cross-Process Comparability**: Standardized attribute indices support benchmarking across product lines.
**How It Is Used in Practice**
- **Data Stratification**: Segment defects by mechanism, tool, lot, and opportunity count.
- **Rate Estimation**: Compute defect rates with confidence intervals using correct discrete models.
- **Control Deployment**: Use attribute control charts and targeted corrective actions for dominant defect categories.
Capability for attribute data is **the correct statistical lens for binary quality outcomes** - discrete defects require discrete metrics for honest process assessment.