Research Article

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

Table 4

ARLs (in groups of size 10) of the Two-sided Shew-XB and the Shew-KS Charts under a Normal Distribution. Training Sample Size 𝑚 = 3 9 and Test Sample Size 𝑛 = 1 0 .

Shew XBShew-KS
𝑘 = 2 . 7 5 𝐶 𝐿 = 0 . 5 4 1

Median = 0.0 1 6 8 . 0 1 7 1 . 0
0 . 2 1 0 9 . 1 1 2 5 . 9
0 . 4 3 5 . 6 5 7 . 3
0 . 6 9 . 1 5 . 4
0 . 8 3 . 4 6 . 2
1 . 0 1 . 8 3 . 0

Note: for the Shew-XB chart, 2.75 is the “k” value in the control limits 𝑋 0 ± 𝑘 𝑆 0 / 𝑛 .