Table 4 ARL values for the parametric values \(\theta = 0.5\), \(\lambda = 0.5\) and n = 20 under truncated life test.

From: A time truncated attribute control chart to monitor urgent physiological investigations turnaround times

\(ARL_{0}\)

200

250

300

370

500

\(l\)

2.891

2.955

2.937

3.031

3.158

\(a\)

0.8088

0.7095

0.9288

0.9709

0.7605

\(s\)

\(ARL_{1}\)

\(ARL_{1}\)

\(ARL_{1}\)

\(ARL_{1}\)

\(ARL_{1}\)

0.10

1.00

1.00

1.01

1.03

1.00

0.20

1.06

1.03

1.10

1.26

1.07

0.30

1.29

1.21

1.43

1.91

1.38

0.40

1.93

1.75

2.22

3.49

2.21

0.50

3.47

3.10

4.05

7.36

4.32

0.60

7.26

6.55

8.39

17.38

9.94

0.70

17.12

15.85

19.27

44.68

25.87

0.80

43.94

42.27

47.86

121.06

73.55

0.85

71.26

70.44

77.02

196.63

126.45

0.90

112.89

116.45

124.58

297.55

216.09

0.95

164.37

182.87

198.82

338.70

352.02

1.00

200.04

250.78

300.02

370.91

500.12

1.05

191.85

223.93

295.18

289.97

455.24

1.10

152.64

207.93

218.10

203.10

426.27

1.15

111.28

180.40

205.86

138.56

350.90

1.20

79.51

130.46

185.75

95.50

245.84

1.30

42.26

69.14

134.32

48.70

122.84

1.40

24.54

39.72

71.08

27.42

66.98

1.50

15.50

24.78

40.88

16.85

39.88

1.60

10.51

16.60

25.40

11.15

25.59

1.70

7.57

11.79

16.86

7.84

17.49

1.80

5.72

8.80

11.84

5.82

12.60

1.90

4.51

6.84

8.73

4.51

9.49

2.00

3.69

5.50

6.70

3.63

7.42

2.50

1.92

2.65

2.76

1.82

3.21

3.00

1.41

1.81

1.75

1.33

2.05

3.50

1.20

1.46

1.38

1.15

1.59

4.00

1.11

1.28

1.21

1.07

1.36

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