Control Rule Sets.Nelson Property
Gets the 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#
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 10.4.0
public static ControlRuleSet Nelson { get; }Property Value
ControlRuleSetRemarks
The Nelson rule set is the standard full-sensitivity rule set for variables control charts (Individuals, XBar-R, XBar-S). It applies all eight Nelson rules:
- PointBeyondControlLimits — one point strictly beyond ±3σ (window length 1).
- ConsecutivePointsOnSameSide(Int32) with run length 9 — nine consecutive points on the same side of the center line (window length 9).
- ConsecutiveIncreasingOrDecreasing(Int32) with run length 6 — six consecutive points continuously increasing or decreasing (window length 6).
- AlternatingUpDown(Int32) with run length 14 — fourteen consecutive points alternating up and down (window length 14).
- TwoOfThreeBeyondTwoSigmaSameSide — two out of three consecutive points beyond ±2σ on the same side (window length 3).
- FourOfFiveBeyondOneSigmaSameSide — four out of five consecutive points beyond ±1σ on the same side (window length 5).
- FifteenWithinOneSigma — fifteen consecutive points within ±1σ of the center line (window length 15).
- EightOutsideOneSigma — eight consecutive points on both sides of the center line, none within ±1σ (window length 8).
Intended for variables charts with stable sigma interpretation. Do not apply to EWMA or CUSUM statistics; use BasicShewhart instead.