Business Mathematics and Statistics · Ch 9 — Applied Statistics (Time Series, Index Numbers, Statistical Quality Control)
Statistical Quality Control: Meaning and Causes of Variation
Statistical Quality Control: Meaning and Causes of Variation
Statistical Quality Control (SQC) is the use of statistical methods to monitor and control the quality of a manufacturing process while production is actually going on, rather than only inspecting finished goods afterward. No manufacturing process, however carefully run, produces items that are perfectly identical — some small variation between one unit and the next is always present. SQC's central idea is to distinguish between two very different kinds of variation:
Chance (random) causes are the many small, unavoidable influences — minor differences in raw material, slight vibration of a machine, small temperature changes, the operator's natural hand movement — each too small to identify or eliminate individually, and together producing a stable, predictable pattern of natural variation. A process affected only by chance causes is said to be in (statistical) control.
Assignable causes are large, identifiable, and preventable sources of variation — a worn-out tool, an untrained operator, a defective batch of raw material, a machine that has slipped out of adjustment. Unlike chance causes, assignable causes can and should be traced to their source and removed. A process affected by an assignable cause is said to have gone out of control.
| Chance causes | Assignable causes | |
|---|---|---|
| Size of effect | Small, individually | Large |
| Number of causes | Many, acting together | Usually one identifiable cause |
| Can it be removed? | No — inherent to the process | Yes — once found, it can be corrected |
| What it means for the process | Process is in control; variation is 'normal' | Process is out of control; needs investigation |
The application of statistical techniques, especially control charts, to monitor and control the quality of a product while it …
The many small, unidentifiable and unavoidable factors that produce natural, inherent variation in a process even when it is running correctly; a process affected only by chance ca …
Identifiable, preventable factors (a worn tool, defective material, an untrained operator) that produce variation larger than what chance causes alone would explain; their presence means a …