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Engineering Data Analysis2D

Statistical Quality Control - Theory & Concepts - Engineering Data Analysis Process Capability

Control charts for variables and attributes, process capability indices, and natural tolerance limits.

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Engineering Data Analysis • Topic 13

Process Capability Index (Cₚ & Cₚₖ) Visualizer

Process Mean (μ\mu)100.0
Std Dev (σ\sigma)3.50
Lower Limit (LSL)90
Upper Limit (USL)110
Cp Index0.95
Cpk Index0.95
EvaluationNot Capable (Produces Defects)
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• Cₚ (Process Capability): Measures potential capability if the process was perfectly centered. Formula: Cp=USL−LSL6σC_p = \frac{\text{USL} - \text{LSL}}{6\sigma}

• Cₚₖ (Actual Capability): Accounts for the centering of the mean relative to limits. Formula: Cpk=min⁡(USL−μ3σ,μ−LSL3σ)C_{pk} = \min\left(\frac{\text{USL} - \mu}{3\sigma}, \frac{\mu - \text{LSL}}{3\sigma}\right)

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