Table 6 For sensitivity analysis, run length outcomes of Bayesian chart applying SELF for covariate model considering ME, with different values of smoothing constant and sample sizes.

From: Monitoring the process mean under the Bayesian approach with application to hard bake process

Shift

\(\lambda\) = 0.25, n = 5

\(\lambda\) = 0.25, n = 8

\(\lambda\) = 0.30, n = 5

\(\lambda\) = 0.30, n = 8

No ME

ME = 0.5

ME = 1

No ME

ME = 0.5

ME = 1

No ME

ME = 0.5

ME = 1

No ME

ME = 0.5

ME = 1

ARL

(SDR)

ARL

(SDRL)

ARL

(SDRL)

ARL

(SDRL)

ARL

(SDRL)

ARL

(SDRL)

ARL

(SDRL)

ARL

(SDRL)

ARL

(SDRL)

ARL

(SDRL)

ARL

(SDRL)

ARL

(SDRL)

0.0

370.49

(351.77)

368.89

(346.62)

370.55

(360.14)

370.63

(351.81)

370.54

(350.71)

369.17

(345.15)

369.05

(342.08)

369.81

(346.43)

370.72

(349.40)

370.29

(349.32)

370.05

(347.34)

370.68

(346.66)

0.10

79.38

(54.28)

99.35

(70.42)

118.29

(87.35)

61.29

(40.38)

76.53

(51.73)

91.48

(63.62)

80.24

(52.92)

101.36

(69.91)

119.98

(86.90)

62.62

(38.78)

79.15

(50.76)

93.98

(62.42)

0.20

32.25

(20.78)

42.59

(27.23)

51.81

(33.30)

23.20

(15.26)

31.21

(20.00)

37.97

(24.24)

34.25

(20.55)

44.30

(26.88)

52.88

(32.65)

24.71

(15.04)

32.86

(19.59)

39.92

(23.89)

0.30

17.36

(11.51)

23.84

(15.35)

29.90

(18.74)

11.72

(8.01)

16.63

(10.94)

20.86

(13.60)

18.55

(11.38)

25.07

(15.12)

31.21

(18.36)

12.82

(8.05)

17.79

(10.99)

22.68

(13.44)

0.40

10.52

(7.11)

15.03

(9.89)

19.16

(12.19)

6.91

(4.71)

9.96

(6.71)

12.86

(8.51)

11.49

(7.20)

16.02

(9.76)

20.48

(12.11)

7.60

(4.84)

11.00

(6.89)

14.19

(8.62)

0.50

7.05

(4.70)

10.16

(6.70)

13.29

(8.51)

4.59

(3.01)

6.59

(4.44)

8.58

(5.69)

7.76

(4.88)

11.12

(6.90)

14.34

(8.62)

5.06

(3.20)

7.44

(4.63)

9.66

(5.91)

0.60

5.06

(3.32)

7.41

(4.84)

9.62

(6.22)

3.29

(2.08)

4.77

(3.09)

6.25

(4.08)

5.59

(3.44)

8.08

(4.98)

10.55

(6.33)

3.64

(2.22)

5.32

(3.27)

7.01

(4.25)

0.70

3.79

(2.38)

5.54

(3.54)

7.34

(4.71)

2.52

(1.49)

3.57

(2.24)

4.69

(2.98)

4.29

(2.55)

6.17

(3.67)

8.13

(4.84)

2.76

(1.60)

4.04

(2.43)

5.34

(3.18)

0.80

3.04

(1.83)

4.39

(2.71)

5.83

(3.66)

2.03

(1.14)

2.87

(1.71)

3.76

(2.32)

3.38

(1.92)

4.89

(2.83)

6.44

(3.77)

2.21

(1.21)

3.19

(1.81)

4.21

(2.42)

0.90

2.51

(1.44)

3.62

(2.14)

4.71

(2.84)

1.69

(0.86)

2.36

(1.35)

3.05

(1.77)

2.78

(1.53)

4.00

(2.24)

5.25

(2.98)

1.84

(0.93)

2.62

(1.42)

3.45

(1.90)

1.0

2.11

(1.15)

3.02

(1.70)

3.95

(2.28)

1.48

(0.69)

2.00

(1.08)

2.57

(1.44)

2.34

(1.22)

3.36

(1.80)

4.40

(2.39)

1.59

(0.75)

2.22

(1.16)

2.89

(1.52)

1.5

1.24

(0.47)

1.67

(0.74)

2.11

(0.99)

1.04

(0.20)

1.20

(0.43)

1.45

(0.62)

1.34

(0.54)

1.84

(0.79)

2.32

(1.03)

1.06

(0.24)

1.29

(0.50)

1.62

(0.68)

2.0

1.03

(0.17)

1.20

(0.42)

1.47

(0.59)

1.00

(0.02)

1.02

(0.14)

1.10

(0.31)

1.05

(0.22)

1.30

(0.48)

1.61

(0.62)

1.00

(0.04)

1.03

(0.19)

1.17

(0.38)

2.5

1.00

(0.03)

1.03

(0.19)

1.16

(0.37)

1.00

(0.00)

1.00

(0.02)

1.01

(0.10)

1.00

(0.05)

1.07

(0.25)

1.24

(0.44)

1.00

(0.00)

1.00

(0.04)

1.02

(0.05)

3

1.00

(0.00)

1.00

(0.06)

1.03

(0.19)

1.00

(0.00)

1.00

(0.00)

1.00

(0.02)

1.00

(0.00)

1.00

(0.09)

1.07

(0.25)

1.00

(0.00)

1.00

(0.00)

1.00

(0.03)

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