Cpk Formula:
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The Process Capability Index (Cpk) measures how well a process can 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: Cpk is the minimum of two values representing how many standard deviations fit between the mean and each specification limit.
Details: Cpk is crucial for quality control, process improvement, and ensuring products meet specifications. Higher Cpk values indicate better process capability.
Tips: Enter your data as comma-separated values, along with the upper and lower specification limits. The calculator will compute the mean, standard deviation, and Cpk.
Q1: What is a good Cpk value?
A: Generally, Cpk ≥ 1.33 is considered capable, ≥ 1.67 is good, and ≥ 2.00 is excellent.
Q2: How is Cpk different from Cp?
A: Cp only considers process spread, while Cpk also considers how centered the process is between the limits.
Q3: What if my Cpk is negative?
A: A negative Cpk indicates the process mean is outside the specification limits.
Q4: How many data points are needed?
A: For reliable results, at least 25-30 data points are recommended.
Q5: Can Cpk be greater than Cp?
A: No, Cpk can never exceed Cp as it's the more restrictive measure.