Cpk Formula:
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The Process Capability Index (Cpk) is a statistical measure of a process's ability to produce output within specification limits. It indicates how well a process is centered and whether it can consistently meet customer requirements.
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 processes are capable of meeting specifications and identifies areas for improvement.
Tips: Enter the lower and upper specification limits, process mean, and standard deviation. All values must use consistent units, and standard deviation must be greater than zero.
Q1: What is a good Cpk value?
A: Generally, a Cpk value of 1.33 or higher is considered acceptable, with values of 1.67 or higher indicating excellent process capability.
Q2: How is Cpk different from Cp?
A: Cp measures process potential without considering centering, while Cpk considers both spread and centering of the process relative to specifications.
Q3: What if my Cpk is less than 1?
A: A Cpk less than 1 indicates that the process is not capable of consistently meeting specifications and requires improvement.
Q4: Can Cpk be negative?
A: Yes, Cpk can be negative if the process mean is outside the specification limits, indicating very poor process capability.
Q5: What are the limitations of Cpk?
A: Cpk assumes normally distributed data and may not be accurate for non-normal distributions. It also requires stable process data for meaningful interpretation.