A Nonparametric Shewhart-Type Quality Control Chart for Monitoring Broad Changes in a Process Distribution

Table 3

Simulated Values of the ARL₀ (in groups of size 𝑛=10) of the Two-sided Shew-XB and the Shew-KS Charts for an in-control Processes (𝜃=0) with outliers.

%	Extremity 𝜎^2=4		𝜎^2=9		𝜎^2=16
	Shew-XB; 𝑘=2.80	KS; 𝐿=0.541	Shew-XB; 𝑘=2.80	KS; 𝐿=0.541	Shew-XB; 𝑘=2.80	KS; 𝐿=0.541
𝑃=0.0%	163	171	163	171	163	171
𝑃=1%	159	171	115	171	70	171
𝑃=5%	90	147	39	148	21	143
𝑃=10%	61	144	22	127	12	118
𝑃=15%	41	120	15	120	8	107
𝑃=20%	33	112	11	94	6	88

Note: the case when 𝑃=0.0% represents a process operating under a standard normal distribution with no outliers.