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 considers both the process variability and how centered the process is between the specification limits.
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 determine if a process is capable of meeting specifications and identifies opportunities 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.
Q2: How is Cpk different from Cp?
A: Cp measures potential capability assuming the process is centered, while Cpk measures actual capability considering both variability and centering.
Q3: What if my process has only one specification limit?
A: For one-sided specifications, use the appropriate part of the formula (either USL or LSL calculation).
Q4: What are common Cpk interpretation guidelines?
A: Cpk < 1.0: process not capable; Cpk = 1.0-1.33: marginally capable; Cpk > 1.33: capable process.
Q5: How often should Cpk be calculated?
A: Regular monitoring is recommended - typically calculated periodically (daily, weekly, or monthly) depending on process criticality.