00171 Pa976b138894f731d334f025f1e0079

00171 Pa976b138894f731d334f025f1e0079



172


McWiiliams

Table 3B. Control Chart Parameters and Moments of T0-ł for X -Chart Examples

Control Chart    Distribution of Tout

Parameters

Example Source

Constraint

n

R* h*

PO.95

Pout

CTout

6 Duncan (1956)

Nonę

45

2.02 37.61

60.03

25.75

16.58

Ex. 24

PO.95^50

49

2.04 35.00

49.98

23.24

14.36

Po.95^40

52

2.04 32.00

39.75

20.85

12.44

Po.95^30

57

2.05 26.90

29.88

17.24

9.77

PO.95^20

61

2.10 17.14

19.99

11.45

6.14

Po.95^10

68

2.15 6.78

9.99

5.60

2.64

7 Gibra(1971)

Nonę

5

2.89 0.66

1.48

0.772

0.38

Ex. 2

po 95^1-10

5

2.82 0.43

1.25

0.638

0.33

(with additional costs)

po 95^ 1.25

5

2.79 0.25

1.10

0.537

0.30

8 Gibra (1971)

Po.95^1.25

6

2.92 0.47

1.25

0.65

0.32

Ex. 2

po.95^1.25

5

2.78 0.36

1.19

0.60

0.31

9 Gibra (1971)

Po.95^5

12

1.99 2.34

4.99

2.39

1.38

Ex. 4

P095^5

10

2.06 1.67

4.66

2.12

1.32

Moments: Components of Tout

Example Source

..........Pa.............

en

........B...............

02

B.............

Oj

6 Duncan (1956)

19.98

10.82

3.77

12.49

2.00

1.41

Ex. 24

18.52

10.07

2.72

10.13

2.00

1.41

16.85

9.21

2.00

8.24

2.00

1.41

14.05

7.75

1.19

5.78

2.00

1.41

8.82

4.95

0.63

3.35

2.00

1.41

3.43

1.95

0.17

1.08

2.00

1.41

7 Gibra (1971)

0.33

0.19

0.04

0.17

0.40

0.283

Ex. 2

0.22

0.13

0.02

0.10

0.40

0.283

(with additional costs)

0.13

0.09

0.01

0.06

0.40

0.283

8 Gibra (1971)

0.24

0.14

0.01

0.07

0.40

0.28

Ex. 2

0.18

0.10

0.02

0.08

0.40

0.28

9 Gibra (1971)

1.22

0.68

0.68

0.67

1.00

1.00

Ex. 4

0.86

0.48

0.48

0.71

1.00

1.00


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