Table 1 The values of \(T\) based on various choices of \(n\boldsymbol{ }\text{and}\boldsymbol{ }\beta\) attain the desired nominal \({ARL}_{{\varvec{o}}}\approx 370,\boldsymbol{ }500\) for the NPSN-DH chart.

From: An enhanced nonparametric quality control chart with application related to industrial process

\(\left(n, \beta \right)\)

\({ARL}_{o}\approx 370\)

\({ARL}_{o}\approx 500\)

T

\({ARL}_{o}\)

\(T\)

\({ARL}_{o}\)

(10, 0.05)

1.3300

369.35

1.3800

499.59

(10, 0.10)

1.6000

371.56

1.6800

500.49

(10, 0.20)

2.1800

369.10

2.3100

501.20

(15, 0.05)

1.3264

368.64

1.3800

502.28

(15, 0.10)

1.6100

370.13

1.7000

501.23

(15, 0.20)

2.2300

371.10

2.3700

499.41

(20, 0.05)

1.3550

371.16

1.3800

498.11

(20, 0.10)

1.6200

371.18

1.7000

499.26

(20, 0.20)

2.2440

369.52

2.4000

501.16