To find an h score from two percentages, simply look up both percentages in this table and find the difference between their corresponding X's. For instance, scores of 50% and 25% yield an h of 1.571 - 1.047 = .524.
% | X |
0 | 0.000 |
1 | 0.200 |
2 | 0.284 |
3 | 0.348 |
4 | 0.403 |
5 | 0.451 |
6 | 0.495 |
7 | 0.536 |
8 | 0.574 |
9 | 0.609 |
10 | 0.644 |
11 | 0.676 |
12 | 0.707 |
13 | 0.738 |
14 | 0.767 |
15 | 0.795 |
16 | 0.823 |
17 | 0.850 |
18 | 0.876 |
19 | 0.902 |
20 | 0.927 |
21 | 0.952 |
22 | 0.976 |
23 | 1.000 |
24 | 1.024 |
|
% | X |
25 | 1.047 |
26 | 1.070 |
27 | 1.093 |
28 | 1.115 |
29 | 1.137 |
30 | 1.159 |
31 | 1.181 |
32 | 1.203 |
33 | 1.224 |
34 | 1.245 |
35 | 1.266 |
36 | 1.287 |
37 | 1.308 |
38 | 1.328 |
39 | 1.349 |
40 | 1.369 |
41 | 1.390 |
42 | 1.410 |
43 | 1.430 |
44 | 1.451 |
45 | 1.471 |
46 | 1.491 |
47 | 1.511 |
48 | 1.531 |
49 | 1.551 |
|
% | X |
50 | 1.571 |
51 | 1.591 |
52 | 1.611 |
53 | 1.631 |
54 | 1.651 |
55 | 1.671 |
56 | 1.691 |
57 | 1.711 |
58 | 1.731 |
59 | 1.752 |
60 | 1.772 |
61 | 1.793 |
62 | 1.813 |
63 | 1.834 |
64 | 1.855 |
65 | 1.875 |
66 | 1.897 |
67 | 1.918 |
68 | 1.939 |
69 | 1.961 |
70 | 1.982 |
71 | 2.004 |
72 | 2.026 |
73 | 2.049 |
74 | 2.071 |
|
% | X |
75 | 2.094 |
76 | 2.118 |
77 | 2.141 |
78 | 2.165 |
79 | 2.190 |
80 | 2.214 |
81 | 2.240 |
82 | 2.265 |
83 | 2.292 |
84 | 2.319 |
85 | 2.346 |
86 | 2.375 |
87 | 2.404 |
88 | 2.434 |
89 | 2.465 |
90 | 2.498 |
91 | 2.532 |
92 | 2.568 |
93 | 2.606 |
94 | 2.647 |
95 | 2.691 |
96 | 2.739 |
97 | 2.793 |
98 | 2.858 |
99 | 2.941 |
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You can also find X and h by using a mathematical formula. The formula is: X is the anticosine (using radians) of 1 - 2P, where P is a number from 0 to 1 (not 0 to 100). h is simply the difference between the two X's:
h = cos-1(1-2Pa) - cos-1(1-2Pb)
In Excel, assuming the two proportions are in cells A2 & B2, the formula would be: =ACOS(1-(2*A2))-ACOS(1-(2*B2))
Go back to the Statistics page.
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