Cpk Formula (One-Sided Upper Specification):
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The Cpk (Process Capability Index) for one-sided specification measures how well a process meets an upper specification limit (USL). It's commonly used in cement quality control where only maximum values are specified.
The calculator uses the one-sided Cpk formula:
Where:
Explanation: The formula compares the distance between the upper spec limit and the process mean to three standard deviations of variation.
Details: Cpk is crucial for assessing process capability in cement production, ensuring product meets strength requirements without exceeding maximum allowable values.
Tips: Enter USL, process mean, and standard deviation in consistent units. All values must be valid (σ > 0).
Q1: What is a good Cpk value for cement?
A: Generally, Cpk ≥ 1.33 indicates capable process. For critical applications, Cpk ≥ 1.67 may be required.
Q2: How is this different from two-sided Cpk?
A: Two-sided Cpk considers both upper and lower specification limits. Cement often only has upper limits for certain properties.
Q3: What sample size is needed for reliable Cpk?
A: Minimum of 25-30 data points recommended for stable sigma estimation in cement testing.
Q4: Can Cpk be negative?
A: Yes, negative Cpk indicates the process mean is above the USL (undesirable for cement properties).
Q5: How often should Cpk be calculated?
A: Regular monitoring (e.g., daily/weekly) is recommended for cement quality control, especially with process changes.