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The SHEWHART Procedure

Modifying Standard Tests for Special Causes

Some textbooks and references present slightly different versions of Tests 2 and 3. You can use the following options to request these modifications:

  • TEST2RUN=run-length specifies the length of the pattern for Test 2. The form of the test for each run-length is given in the following table. The default run-length is 9.

    Run-length

    Number of Points on One Side of Central Line

    7

    7 in a row

    8

    8 in a row

    9

    9 in a row

    11

    at least 10 out of 11 in a row

    14

    at least 12 out of 14 in a row

    20

    at least 16 out of 20 in a row

  • TEST3RUN=run-length specifies the length of the pattern for Test 3. The run-length values allowed are 6, 7, and 8. The default run-length is 6.

The Western Electric Company (now AT&T) Statistical Quality Control Handbook (1956) and Montgomery (1996) discuss a test that is signaled by eight points in a row in Zone C or beyond (on one side of the central line). You can request this test by specifying TESTS=2 and TEST2RUN=8. The Handbook also discusses tests corresponding to Tests 1, 5, 6, 7, and 8.

Kume (1985) recommends a number of tests for special causes that can be regarded as modifications of Tests 2 and 3:

  • seven points in a row on one side of the central line. Specify TESTS=2 and TEST2RUN=7.

  • at least 10 out of 11 points in a row on one side of the central line. Specify TESTS=2 and TEST2RUN=11.

  • at least 12 out of 14 points in a row on one side of the central line. Specify TESTS=2 and TEST2RUN=14.

  • at least 16 out of 20 points in a row on one side of the central line. Specify TESTS=2 and TEST2RUN=20.

  • seven points in a row steadily increasing or decreasing. Specify TESTS=3 and TEST3RUN=7.

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