Cpk Formula (One Sided):
From: | To: |
The Cpk (Process Capability Index) for one sided specification measures how well a process meets a single specification limit. It indicates how centered the process is between the mean and the specification limit, relative to the process variation.
The calculator uses the one sided Cpk formula:
Where:
Explanation: The formula calculates how many standard deviations fit between the process mean and the specification limit. Higher values indicate better process capability.
Details: Cpk is crucial for quality control, helping determine if a process can consistently produce output within specification limits. It's widely used in manufacturing and engineering.
Tips: Enter the specification limit, process mean, and standard deviation. Standard deviation must be greater than zero for valid calculation.
Q1: When should I use one-sided Cpk vs two-sided?
A: Use one-sided Cpk when you only have one specification limit (either upper or lower). Use two-sided when you have both limits.
Q2: What is a good Cpk value?
A: Generally, Cpk ≥ 1.33 is acceptable, ≥ 1.67 is good, and ≥ 2.00 is excellent. Values < 1.0 indicate the process may not meet specifications.
Q3: How is Cpk different from Cp?
A: Cp measures potential capability assuming the process is centered, while Cpk measures actual capability accounting for process centering.
Q4: Can Cpk be negative?
A: Yes, negative Cpk indicates the process mean is beyond the specification limit.
Q5: What if my process has non-normal distribution?
A: The standard Cpk calculation assumes normality. For non-normal data, consider transformations or non-parametric methods.