Table 4 The \({ARL}_{1} \text{and} {SDRL}_{1}\) values of the proposed \(R{EEWMA}_{WSR}\) under different choices of \({(\lambda }_{1}{,\lambda }_{2}\)) and \(n\) with \({ARL}_{0}\) \(\approx\) 370.

From: A modified EWMA signed rank control chart for enhanced quality monitoring in the automobile industry

\(n\)

\({(\lambda }_{1}{,\lambda }_{2}\))

\(L\)

Metrices

\(C\)

0.05

0.10

0.15

0.20

0.25

0.30

5

(0.1,0.03)

2.4300

ARL

133.81

45.81

23.10

14.52

10.13

7.57

SDRL

129.74

39.05

17.31

9.83

6.37

4.48

(0.2,0.07)

2.5900

ARL

172.17

63.58

30.38

17.69

12.06

8.95

SDRL

169.70

57.51

24.90

12.94

8.00

5.41

(0.3,0.15)

2.6820

ARL

206.21

82.74

39.91

22.84

15.18

11.00

SDRL

204.23

77.33

33.99

17.27

10.37

6.63

(0.5,0.25)

2.7640

ARL

264.96

134.96

71.74

41.08

25.51

17.32

SDRL

263.18

131.69

67.30

37.29

21.50

13.48

6

(0.1,0.03)

2.3300

ARL

104.55

33.84

16.95

10.74

7.57

5.75

SDRL

97.99

27.29

11.95

6.89

4.51

3.22

(0.2,0.07)

2.4880

ARL

141.01

46.16

21.77

12.86

8.81

6.58

SDRL

135.83

40.04

16.58

8.63

5.38

3.72

(0.3,0.15)

2.5650

ARL

169.24

60.47

27.49

16.20

10.88

8.01

SDRL

162.17

54.15

22.01

11.28

6.69

4.47

(0.5,0.25)

2.6250

ARL

241.15

107.36

50.47

27.22

16.46

11.16

SDRL

241.15

103.62

46.95

23.31

12.75

7.85

8

(0.1,0.03)

2.1820

ARL

67.23

21.01

10.72

6.84

4.84

3.71

SDRL

60.25

15.34

7.02

4.06

2.65

1.89

(0.2,0.07)

2.3280

ARL

93.31

27.04

12.93

7.96

5.60

4.26

SDRL

88.66

21.56

8.75

4.67

3.00

2.12

(0.3,0.15)

2.3950

ARL

114.34

33.69

15.69

9.57

6.62

5.00

SDRL

108.05

28.04

10.81

5.74

3.57

2.52

(0.5,0.25)

2.4370

ARL

172.01

58.90

24.77

13.41

8.51

6.07

SDRL

167.04

55.43

20.94

10.01

5.55

3.53

10

(0.1,0.03)

2.0730

ARL

46.62

14.59

7.53

4.81

3.49

2.69

SDRL

40.08

10.02

4.56

2.66

1.79

1.29

(0.2,0.07)

2.2040

ARL

62.37

17.55

8.72

5.53

3.93

3.06

SDRL

57.10

12.83

5.38

2.99

1.97

1.42

(0.3,0.15)

2.2670

ARL

80.06

21.90

10.51

6.55

4.66

3.56

SDRL

73.82

16.58

6.45

3.50

2.27

1.66

(0.5,0.25)

2.3050

ARL

129.40

36.23

14.88

8.32

5.50

4.03

SDRL

125.06

32.40

11.65

5.34

3.13

2.10

\(n\)

\(C\)

5

0.40

0.50

0.70

0.90

1.00

1.50

2.00

2.50

3.00

5.00

4.99

3.67

2.46

1.93

1.76

1.33

1.11

1.03

1.01

1.00

2.66

1.77

1.02

0.71

0.63

0.47

0.32

0.17

0.09

0.00

5.69

4.17

2.71

2.05

1.85

1.33

1.11

1.03

1.01

1.00

3.02

2.05

1.19

0.83

0.73

0.48

0.31

0.17

0.08

0.00

7.03

5.11

3.40

2.66

2.44

2.04

2.00

2.00

2.00

2.00

3.64

2.30

1.26

0.81

0.66

0.21

0.04

0.00

0.00

0.00

9.71

6.50

3.93

2.92

2.64

2.09

2.01

2.00

2.00

2.00

6.43

3.66

1.73

1.03

0.83

0.29

0.08

0.02

0.00

0.00

6

3.82

2.85

1.93

1.51

1.37

1.05

1.00

1.00

1.00

1.00

1.93

1.31

0.77

0.58

0.51

0.21

0.04

0.01

0.00

0.00

4.29

3.12

2.02

1.53

1.38

1.05

1.00

1.00

1.00

1.00

2.20

1.51

0.88

0.62

0.53

0.21

0.05

0.01

0.00

0.00

5.20

3.78

2.45

1.81

1.59

1.12

1.01

1.00

1.00

1.00

2.56

1.73

1.06

0.75

0.64

0.32

0.10

0.03

0.00

0.00

6.45

4.43

2.65

1.89

1.66

1.11

1.01

1.00

1.00

1.00

3.81

2.34

1.26

0.85

0.72

0.32

0.10

0.02

0.00

0.00

8

2.49

1.91

1.33

1.09

1.04

1.00

1.00

1.00

1.00

1.00

1.16

0.82

0.50

0.28

0.19

0.02

0.00

0.00

0.00

0.00

2.87

2.17

1.48

1.17

1.09

1.00

1.00

1.00

1.00

1.00

1.27

0.91

0.57

0.37

0.28

0.03

0.00

0.00

0.00

0.00

3.29

2.39

1.52

1.17

1.09

1.00

1.00

1.00

1.00

1.00

1.55

1.09

0.65

0.39

0.29

0.03

0.01

0.00

0.00

0.00

3.75

2.69

1.72

1.28

1.17

1.00

1.00

1.00

1.00

1.00

1.85

1.23

0.71

0.47

0.38

0.07

0.01

0.00

0.00

0.00

10

1.87

1.44

1.08

1.01

1.00

1.00

1.00

1.00

1.00

1.00

0.81

0.57

0.27

0.08

0.04

0.00

0.00

0.00

0.00

0.00

2.09

1.58

1.12

1.01

1.00

1.00

1.00

1.00

1.00

1.00

0.90

0.64

0.33

0.11

0.06

0.00

0.00

0.00

0.00

0.00

2.37

1.76

1.19

1.02

1.01

1.00

1.00

1.00

1.00

1.00

1.03

0.73

0.40

0.15

0.08

0.00

0.00

0.00

0.00

0.00

2.53

1.82

1.20

1.03

1.01

1.00

1.00

1.00

1.00

1.00

1.21

0.82

0.41

0.16

0.09

0.00

0.00

0.00

0.00

0.00