Cpk Formula:
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Cpk (Process Capability Index) is a statistical measure of a process's ability to produce output within specification limits. It indicates how well a process meets specifications by comparing the spread of the process to the width of the specification limits.
The calculator uses the Cpk formula:
Where:
Explanation: The formula calculates the capability of a process by determining how close the process mean is to the specification limit and comparing it to the natural variation of the process.
Details: Cpk is crucial for quality control and process improvement. It helps manufacturers determine if their process is capable of meeting customer requirements and identifies areas for process improvement.
Tips: Enter the upper and lower specification limits, process mean, and standard deviation. All values must be valid (standard deviation > 0). The units must be consistent across all inputs.
Q1: What is a good Cpk value?
A: Generally, a Cpk value of 1.33 or higher is considered acceptable, while 2.0 or higher indicates excellent process capability.
Q2: What's the difference between Cp and Cpk?
A: Cp measures process potential without considering centering, while Cpk considers both process variation and centering relative to specification limits.
Q3: Can Cpk be negative?
A: Yes, negative Cpk values indicate 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 calculated regularly as part of ongoing process monitoring, especially after process changes or improvements.