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http://www.westgard.com/mltirule.htm
What are the "Westgard rules"?
For convenience, we adopt a short hand notation to abbreviate different decision criteria or control rules, e.g., 12s to indicate 1 control measurement exceeding 2s control limits. We prefer to use subscripts to indicate the control limits, but other texts and papers may use somewhat different notation (e.g. 1:2s rather than 12s) Combinations of rules are generally indicated by using a "slash" mark (/) between control rules, e.g. 13s/22s.
The individual rule are defined below. The "thumbnail" graphic next to a rule shows an example of control results that violate that rule. You can click on a graphic to get a larger picture that more clearly illustrates the application of each control rule.
13s refers to a control rule that is commonly used with a Levey-Jennings chart when the control limits are set as the mean plus 3s and the mean minus 3s. A run is rejected when a single control measurement exceeds the mean plus 3s or the mean minus 3s control limit. |
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12s refers to the control rule that is commonly used with a Levey-Jennings chart when the control limits are set as the mean plus/minus 2s. In the original Westgard multirule QC procedure, this rule is used as a warning rule to trigger careful inspection of the control data by the following rejection rules. |
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22s - reject when 2 consecutive control measurements exceed the same mean plus 2s or the same mean minus 2s control limit. |
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R4s - reject when 1 control measurement in a group exceeds the mean plus 2s and another exceeds the mean minus 2s. |
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41s - reject when 4 consecutive control measurements exceed the same mean plus 1s or the same mean minus 1s control limit. |
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10x - reject when 10 consecutive control measurements fall on one side of the mean. |
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In addition, you will sometimes see some modifications of this last rule to make it fit more easily with Ns of 4: |
8x - reject when 8 consecutive control measurements fall on one side of the mean. |
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12x - reject when 12 consecutive control measurements fall on one side of the mean. |
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The preceding control rules are usually used with N's of 2 or 4, which means they are appropriate when two different control materials are measured 1 or 2 times per material.