SPC Engine

Paste your readings and see in seconds whether the process is stable and capable, and why.

Data type
Subgroup size (n)
n = 1: Individuals / Moving Range (I-MR) chart. 2 to 8: X̄-R chart. 9 or more: X̄-S chart.
Specification limits
All optional. Without limits you still get the control charts.
Data · 15 readings
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Paste a column from Excel anywhere on this page with Ctrl+V
Enter your data on the left and click Analyze to generate control charts, capability indices, and Nelson Rule diagnostics.

About SPC Engine

How it is calculated · worked example · references

What it does

SPC Engine answers the two questions every process review starts with: is the process stable (in statistical control), and is it capable of meeting the specification? Paste your readings and the tool picks the right control chart for your subgroup size, checks it for special causes, and gives Cp, Cpk, Pp and Ppk with the expected parts per million outside the limits, plus a sentence that says whether to reduce variation or re-centre.

Use it for measurements such as length, weight, torque or pressure (I-MR, X̄-R and X̄-S charts), and for counts of defective parts or defects (p, np, c and u charts).

Method

Control limits, tests for special causes and capability indices follow the AIAG SPC manual and Montgomery. The results are tested against reference data sets analysed in specialised statistical software, and normality is checked before capability is reported. Read stability first: capability numbers from an unstable process do not predict the next batch.

Worked example

The data behind “Try an example”: 15 individual readings with a specification of 23.0 to 25.0.

ResultValue
ChartI-MR
Centre line and limits24.167 · UCL 25.098 · LCL 23.236
Tests for special causesNo signals: stable
Cp · Cpk1.07 · 0.90
Pp · Ppk1.29 · 1.08
Expected outside the limitsabout 3,704 PPM

The process is stable but not capable against the common 1.33 target. The spread alone uses 93% of the tolerance, so the main job is to reduce variation; the mean also sits a little above the middle of the tolerance.

References

  • AIAG, Statistical Process Control (SPC) Reference Manual, 2nd edition.
  • Montgomery, D. C., Introduction to Statistical Quality Control.
  • Nelson, L. S. (1984), “The Shewhart Control Chart: Tests for Special Causes”, Journal of Quality Technology.