Cpk Formula:
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The Process Capability Index (Cpk) is a statistical measure that indicates how well a process can produce output within specified limits. It compares the process variability to the specification limits, providing insight into process performance and capability.
The calculator uses the Cpk formula:
Where:
Explanation: The formula calculates how centered the process is between the specification limits and how much variability exists in the process relative to those limits.
Details: Cpk is crucial for quality control and process improvement. It helps determine if a process is capable of meeting specifications and identifies opportunities for reducing variation and improving quality.
Tips: Enter the upper specification limit, process mean, standard deviation, and lower specification limit. All values must be valid (standard deviation > 0).
Q1: What is a good Cpk value?
A: Generally, a Cpk ≥ 1.33 indicates a capable process. A Cpk ≥ 2.0 is considered excellent and represents Six Sigma quality level.
Q2: How is Cpk different from Cp?
A: Cp measures process potential without considering centering, while Cpk considers both variability and how centered the process is within specifications.
Q3: Can Cpk be negative?
A: Yes, a negative Cpk indicates that the process mean is outside the specification limits.
Q4: What are the limitations of Cpk?
A: Cpk assumes normal distribution of data and may not be accurate for non-normal processes. It also requires stable process conditions.
Q5: How often should Cpk be calculated?
A: Cpk should be monitored regularly as part of ongoing process control, typically calculated from recent production data to reflect current process capability.