The Los Angeles Handgun, Rifle, Air Pistol, Hunter/Field Pistol Silhouette Club

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A collection of comments and articles on the many aspects of bullet casting by various cast bullet shooters
Cast Bullets For Beginner And Expert
SECOND EDITION, 2007 - Joe Brennan
Wilcoxon Rank Sum Work Sheet

Does load "A" shoot groups of different size than load "B"?

Enter the group sizes in "A" and "B", then enter the rank of each group in "Rank A" or "Rank B". Then add up the ranks and put the total in "Rank Sum".

 

A

Rank A

B

Rank B

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Rank Sum>>>>>>>

 

 

 

 

(If there is a "tie", for example, if there are two identical values that would be third and fourth, then assign each a rank of 3.5.)

How many entries are there in "A" and "B"? "A"_____, "B"_____

 Now examine the table, the rank sums, and the number of entries in "A" and "B".

    

 

Upper and lower bounds, Wilcoxon Rank Sum Test

 

 

 

 

 

 

 

 

 

 

95% sure

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

n

 

3

3

 

4

4

 

5

5

 

6

6

 

7

7

 

8

8

 

9

9

 

10

10

 

 

L

U

 

L

U

 

L

U

 

L

U

 

L

U

 

L

U

 

L

U

 

L

U

3

 

5

16

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

4

 

6

18

 

11

25

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5

 

6

21

 

12

28

 

18

37

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6

 

7

23

 

12

32

 

19

41

 

26

52

 

 

 

 

 

 

 

 

 

 

 

 

7

 

7

26

 

13

35

 

20

45

 

28

56

 

37

68

 

 

 

 

 

 

 

 

 

8

 

8

28

 

14

38

 

21

49

 

29

61

 

39

73

 

49

87

 

 

 

 

 

 

9

 

8

31

 

15

41

 

22

53

 

31

65

 

41

78

 

51

93

 

63

108

 

 

 

10

 

9

33

 

16

44

 

24

56

 

32

70

 

43

83

 

54

98

 

66

114

 

79

131

If either rank sum is equal to or between the table numbers, we are not 95% sure that load "A" produces different accuracy than load "B".

If neither rank sum is equal to or between the two table numbers, we are 95% sure that load "A" and load "B" produce different accuracy.

Reference "Chapter 7.4 ON ACCURACY"

 

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Warning: All technical data mentioned, especially handloading and bullet casting, reflect the limited experience of individuals using specific tools, products, equipment and components under specific conditions and circumstances not necessarily reported in the article or on this web site and over which The Los Angeles Silhouette Club (LASC), this web site or the author has no control. The above has no control over the condition of your firearms or your methods, components, tools, techniques or circumstances and disclaims all and any responsibility for any person using any data mentioned.

Always consult recognized reloading manuals.

 

The Los Angeles Handgun, Rifle, Air Pistol, Hunter/Field Pistol Silhouette Club