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Quality and Reliability Methods - SAS

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42 Statistical Control Charts Chapter 2<br />

Tests for Special Causes<br />

Figure 2.18 Illustration of Special Causes Tests 1<br />

Test 1: One point beyond Zone A<br />

A<br />

B<br />

C<br />

C<br />

B<br />

A<br />

1<br />

UCL<br />

Avg<br />

LCL<br />

Test 3: Six points in a row steadily increasing<br />

or decreasing<br />

A<br />

B<br />

C<br />

C<br />

B<br />

A<br />

3<br />

UCL<br />

Avg<br />

LCL<br />

Test 2: Nine points in a row in a single (upper<br />

or lower) side of Zone C or beyond<br />

A<br />

UCL<br />

B<br />

C<br />

C<br />

B<br />

A<br />

2<br />

Avg<br />

LCL<br />

Test 4: Fourteen points in a row alternating<br />

up <strong>and</strong> down<br />

A<br />

UCL<br />

B<br />

C<br />

C<br />

B<br />

A<br />

4 Avg<br />

LCL<br />

Test 5: Two out of three points in a row in Test 6: Four out of five points in a row in<br />

Zone A or beyond<br />

Zone B or beyond<br />

A 5<br />

UCL<br />

5 A<br />

6<br />

UCL<br />

B<br />

B<br />

C<br />

Avg C<br />

C<br />

C<br />

Avg<br />

B<br />

A<br />

5<br />

LCL<br />

B<br />

A<br />

LCL<br />

Test 7: Fifteen points in a row in Zone C<br />

(above <strong>and</strong> below the center line)<br />

A<br />

UCL<br />

B<br />

C<br />

7 Avg<br />

C<br />

B<br />

A<br />

LCL<br />

Test 8: Eight points in a row on both sides of<br />

the center line with none in Zone C<br />

A<br />

UCL<br />

B<br />

C<br />

Avg<br />

C<br />

B<br />

8<br />

A<br />

LCL<br />

Westgard Rules<br />

Westgard rules are implemented under the Westgard Rules submenu of the Control Chart platform. The<br />

different tests are abbreviated with the decision rule for the particular test. For example, 1 2s refers to a test<br />

where one point is two st<strong>and</strong>ard deviations away from the mean.<br />

1. Nelson (1984, 1985)

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