ControlRuleSets.NelsonStandard Property

Gets the standard Nelson rule set containing all eight Nelson rules.

Definition

Namespace: Numerics.NET.Statistics.ProcessControl
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 10.4.0
C#
public static ControlRuleSet NelsonStandard { get; }

Property Value

ControlRuleSet

Remarks

The Nelson rules evaluated are:

  1. Nelson 1: one point beyond 3-sigma.
  2. Nelson 2: nine or more points on the same side of the center line.
  3. Nelson 3: six or more points continuously increasing or decreasing.
  4. Nelson 4: fourteen or more points alternating up and down.
  5. Nelson 5: two out of three consecutive points beyond 2-sigma on the same side.
  6. Nelson 6: four out of five consecutive points beyond 1-sigma on the same side.
  7. Nelson 7: fifteen or more points within 1-sigma of the center line on either side.
  8. Nelson 8: eight or more points on both sides of the center line with none within 1-sigma.

Exact tie-handling and zone-boundary conventions are documented in the implementation and applied consistently across all overloads.

See Also