S chart

Plots the process standard deviation over time for variables data in subgroups. This control chart is widely used to examine the stability of processes in many industries. For example, you can use S charts to examine process variation for subgroups of part lengths, call times, or hospital patients' blood pressure over time.

Consider the S chart below. A household product manufacturer wants to assess the stability of its filling process for a window cleaning product. They sample ten window cleaner bottles every hour for 30 hours and weigh each of them.

The points vary randomly  around the center line and are within the control limits. No trends or patterns are shown. The variability in the fill weight of the window cleaner is stable across the 30 subgroups.

The center line is the average standard deviation of all subgroups (Sbar).

 

Examine the process variation using a S chart before interpreting the process average with an Xbar chart. The process variation must be in control to correctly interpret the Xbar chart because the control limits of the Xbar chart are calculated considering both process spread and center. If the S chart is out of control, then the control limits on the Xbar chart may be inaccurate and may falsely indicate an out-of-control condition.

Use the S chart when your subgroup size is nine or more. Use the R chart when your subgroup size is eight or less.