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Regulating Toxic SubstancesA Philosophy of Science and the Law$

Carl F. Cranor

Print publication date: 1993

Print ISBN-13: 9780195074369

Published to Oxford Scholarship Online: October 2011

DOI: 10.1093/acprof:oso/9780195074369.001.0001

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(p.225) APPENDIX C Relative Risk as a Function of Alpha and Beta Values

(p.225) APPENDIX C Relative Risk as a Function of Alpha and Beta Values

Source:
Regulating Toxic Substances
Publisher:
Oxford University Press

A. Relative Risk When Background Disease Rate is 8/10,000

Alpha

Beta

Bkgd.Dis.Rate

Rel.Risk

Sample

1

0.05

0.05

8.0E-04

8.9

2150

2

0.10

8.0E-04

7.5

2150

3

0.15

8.0E-04

6.7

2150

4

0.20

8.0E-04

6.0

2150

5

0.25

8.0E-04

5.5

2150

6

0.30

8.0E-04

5.1

2150

7

0.35

8.0E-04

4.7

2150

8

0.40

8.0E-04

4.3

2150

9

0.45

8.0E-04

4.0

2150

10

0.49

8.0E-04

3.8

2150

11

0.10

0.05

8.0E-04

7.5

2150

12

0.10

8.0E-04

6.2

2150

13

0.15

8.0E-04

5.5

2150

14

0.20

8.0E-04

4.9

2150

15

0.25

8.0E-04

4.5

2150

16

0.30

8.0E-04

4.1

2150

17

0.35

8.0E-04

3.8

2150

18

0.40

8.0E-04

3.5

2150

19

0.45

8.0E-04

3.2

2150

20

0.49

8.0E-04

3.0

2150

21

0.15

0.05

8.0E-04

6.7

2150

22

0.10

8.0E-04

5.5

2150

23

0.15

8.0E-04

4.8

2150

24

0.20

8.0E-04

4.3

2150

25

0.25

8.0E-04

3.9

2150

26

0.30

8.0E-04

3.6

2150

27

0.35

8.0E-04

3.2

2150

28

0.40

8.0E-04

3.0

2150

29

0.45

8.0E-04

2.7

2150

30

0.20

0.05

8.0E-04

6.0

2150

31

0.10

8.0E-04

4.9

2150

32

0.15

8.0E-04

4.3

2150

33

0.20

8.0E-04

3.8

2150

34

0.25

8.0E-04

3.4

2150

35

0.30

8.0E-04

3.1

2150

36

0.35

8.0E-04

2.8

2150

37

0.40

8.0E-04

2.6

2150

38

0.45

8.0E-04

2.4

2150

39

0.25

0.05

8.0E-04

5.5

2150

40

0.10

8.0E-04

4.5

2150

41

0.15

8.0E-04

3.9

2150

42

0.20

8.0E-04

3.4

2150

43

0.25

8.0E-04

3.1

2150

44

0.30

8.0E-04

2.8

2150

45

0.35

8.0E-04

2.5

2150

46

0.40

8.0E-04

2.3

2150

47

0.45

8.0E-04

2.1

2150

48

0.30

0.05

8.0E-04

5.1

2150

49

0.10

8.0E-04

4.1

2150

50

0.15

8.0E-04

3.5

2150

51

0.20

8.0E-04

3.1

2150

52

0.25

8.0E-04

2.8

2150

53

0.30

8.0E-04

2.5

2150

54

0.35

8.0E-04

2.2

2150

55

0.40

8.0E-04

2.0

2150

56

0.45

8.0E-04

1.8

2150

57

0.33

0.05

8.0E-04

4.9

2150

58

0.10

8.0E-04

3.9

2150

59

0.15

8.0E-04

3.4

2150

60

0.20

8.0E-04

2.9

2150

61

0.25

8.0E-04

2.6

2150

62

0.30

8.0E-04

2.4

2150

63

0.35

8.0E-04

2.1

2150

64

0.40

8.0E-04

1.9

2150

65

0.45

8.0E-04

1.7

2150

66

0.40

0.05

8.0E-04

4.3

2150

67

0.10

8.0E-04

3.5

2150

68

0.15

8.0E-04

3.0

2150

69

0.20

8.0E-04

2.6

2150

70

0.25

8.0E-04

2.3

2150

71

0.30

8.0E-04

2.0

2150

72

0.35

8.0E-04

1.8

2150

73

0.40

8.0E-04

1.6

2150

74

0.45

8.0E-04

1.5

2150

75

0.45

0.05

8.0E-04

4.0

2150

76

0.10

8.0E-04

3.2

2150

77

0.15

8.0E-04

2.7

2150

78

0.20

8.0E-04

2.4

2150

79

0.25

8.0E-04

2.1

2150

80

0.30

8.0E-04

1.8

2150

81

0.35

8.0E-04

1.6

2150

82

0.40

8.0E-04

1.5

2150

83

0.45

8.0E-04

1.3

2150

(p.226)

(p.227)

B. Relative Risk When Background Disease Rate is 8/100,000

Alpha

Beta

Bkgd.Dis.Rate

Rel.Risk

Sample

1

0.05

0.05

8.0E-05

65.9

2150

2

0.10

8.0E-05

52.6

2150

3

0.15

8.0E-05

44.8

2150

4

0.20

8.0E-O5

38.8

2150

5

0.25

8.0E-05

34.1

2150

6

0.30

8.0E-05

30.4

2150

7

0.35

8.0E-05

26.9

2150

8

0.40

8.0E-05

23.8

2150

9

0.45

8.0E-05

21.2

2150

10

0.10

0.05

8.0E-05

52.6

2150

11

0.10

8.0E-05

40.9

2150

12

0.15

8.0E-05

34.1

2150

13

0.20

8.0E-05

28.9

2150

14

0.25

8.0E-05

24.9

2150

15

0.30

8.0E-05

21.8

2150

16

0.35

8.OE-05

18.9

2150

17

0.40

8.0E-05

16.4

2150

18

0.45

8.0E-05

14.3

2150

19

0.15

0.05

8.0E-05

44.8

2150

20

0.10

8.0E-05

34.1

2150

21

0.15

8.0E-05

28.0

2150

22

0.20

8.0E-05

23.4

2150

23

0.25

8.0E-05

19.8

2150

24

0.30

8.0E-05

17.1

2150

25

0.35

8.0E-05

14.5

2150

26

0.40

8.0E-05

12.4

2150

27

0.45

8.0E-05

10.6

2150

28

0.20

0.05

8.0E-05

38.8

2150

29

0.10

8.0E-05

28.9

2150

30

0.15

8.0E-05

23.4

2150

31

0.20

8.0E-05

19.2

2150

32

0.25

8.0E-05

16.0

2150

33

0.30

8.0E-05

13.6

2150

34

0.35

8.0E-05

11.4

2150

35

0.40

8.0E-05

9.5

2150

36

0.33

0.05

8.0E-05

28.2

2150

37

0.10

8.0E-05

20.0

2150

38

0.15

8.0E-05

15.5

2150

39

0.20

8.0E-05

12.2

2150

40

0.25

8.0E-05

9.8

2150

41

0.30

8.0E-05

8.0

2150

42

0.35

8.0E-05

6.4

2150

43

0.40

8.0E-05

5.1

2150

44

0.45

8.0E-05

4.1

2150

45

0.40

0.05

8.0E-05

23.8

2150

46

0.10

8.0E-05

16.4

2150

47

0.15

8.0E-05

12.4

2150

48

0.20

8.0E-05

9.5

2150

49

0.25

8.0E-05

7.4

2150

50

0.30

8.0E-05

6.0

2150

51

0.35

8.0E-05

4.6

2150

52

0.40

8.0E-05

3.6

2150

53

0.45

8.0E-05

2.8

2150

54

0.45

0.05

8.0E-05

21.2

2150

55

0.10

8.0E-05

14.3

2150

56

0.15

8.0E-05

10.6

2150

57

0.20

8.0E-05

8.0

2150

58

0.25

8.0E-05

6.2

2150

59

0.30

8.0E-05

4.8

2150

60

0.35

8.0E-05

3.7

2150

61

0.40

8.0E-05

2.8

2150

62

0.45

8.0E-05

2.1

2150

(p.228)