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Nelson rules are a method in process control of determining whether some measured variable is out of control (unpredictable versus consistent). Rules for detecting "out-of-control" or non-random conditions were first postulated by Walter A. Shewhart [ 1 ] in the 1920s.
The Nelson rules; There has been particular controversy as to how long a run of observations, all on the same side of the centre line, should count as a signal, with 6, 7, 8 and 9 all being advocated by various writers. The most important principle for choosing a set of rules is that the choice be made before the data is inspected.
The Western Electric rules are decision rules in statistical process control for detecting out-of-control or non-random conditions on control charts. [1] Locations of the observations relative to the control chart control limits (typically at ±3 standard deviations) and centerline indicate whether the process in question should be investigated for assignable causes.
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The United Nations Standard Minimum Rules for the Treatment of Prisoners were adopted by the United Nations General Assembly on 17 December 2015 after a five-year revision process. [1] They are known as the Mandela Rules in honor of the former South African President, Nelson Mandela. The Mandela Rules are composed of 122 "rules".
The Westgard rules are a set of statistical patterns, each being unlikely to occur by random variability, thereby raising a suspicion of faulty accuracy or precision of the measurement system. They are used for laboratory quality control , in "runs" consisting of measurements of multiple samples.
Also, there is at least one earlier reference from Nelson (sorry - looks like this is the same reference): Nelson, L. (1984). The Shewhart control chart - tests for special causes. Journal of Quality Technology, 15, 237-239 —Preceding unsigned comment added by 195.8.79.171 14:59, 24 January 2011 (UTC)
A set of rules can be used to infer any valid conclusion if it is complete, while never inferring an invalid conclusion, if it is sound. A sound and complete set of rules need not include every rule in the following list, as many of the rules are redundant, and can be proven with the other rules.