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

Table 6

ARLs (in groups of size 10) of the Two-sided Shew-XB and the Shew-KS Charts under a Cauchy distribution. Training Sample Size 𝑚=39 and Test Sample is of Size 𝑛=10.

	Shew-XB	Shew-KS
	𝑘=6.70	𝐶𝐿=0.541
Median = 0.0	171.0	171.0
0.2	165.1	38.7
0.4	165.1	3.2
0.6	161.2	1.4
0.8	160.5	1.1
1.0	159.4	1.0

Note: for the Shew-XB chart, 6.70 is the “k” value in the control limits 𝑋₀±𝑘𝑆₀/√𝑛.