Western Electric Rules Some definitions Run: A control chart may indicate an out

Question

Western Electric Rules Some definitions Run: A control chart may indicate an out-of-control condition when one or more points fall beyond the control limits or when the plotted points exhibit some nonrandom pattern of behavior. In general run is defined as a sequence of observations of the same type. Sensitizing Rules for Shewhart ControLCharts: 1- One or more points outside of the control limits. 2- Two of three consecutive points outside the two-sigma warning limits but still inside the control limits. 3- Four of five consecutive points beyond the one-sigma limits. 4- A run of eight consecutive points on one side of the center line. 5- Six points in a row steady increasing or decreasing. 6- Fifteen points in a row in zone C (both above and below the center line) 7- Fourteen points in a row alternating up and down. 8- Eight points in a row on both sides of the center line with none in zone C. 9- An unusual or nonrandom pattern in the data. 10- One or more points near a warning or control limit.

Explanation / Answer

The chart above shows complete random pattern but some points show an unusual pattern like-

a) the point corresponding to 11(X axis) is very close to UCL.

b) 5 consecutive points after 15 are constantly decreasing and below the center line.

if these can be ignored then we may say that the chart above shows random pattern.

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