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, considering both the process center and variability.
The calculator uses the Cpk formula:
Where:
Explanation: The formula calculates how many standard deviations the process mean is from the nearest specification limit, providing a measure of process capability.
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 improvement.
Tips: Enter the upper and lower specification limits, process mean, and standard deviation. All values must be valid (standard deviation > 0).
Q1: What is a good Cpk value?
A: Generally, Cpk ≥ 1.33 indicates a capable process. Cpk ≥ 2.0 is considered excellent (Six Sigma quality).
Q2: How is Cpk different from Cp?
A: Cp measures potential capability assuming the process is centered, while Cpk measures actual capability considering both centering and spread.
Q3: When should Cpk be used?
A: Cpk should be used when you have stable processes with normally distributed data and known specification limits.
Q4: What are the limitations of Cpk?
A: Cpk assumes normal distribution and may not be accurate for non-normal processes. It also requires stable process conditions.
Q5: How is Cpk calculated in JMP software?
A: In JMP, Cpk can be calculated through the Distribution platform or Quality and Process tools using the same mathematical formula shown above.