25W Page 189
25W DERIVATION OF FORMULAE FOR THE WEIGHING OF EVIDENCE
(a) Significance test.
| Let: | ||
| R be the number of places looked at | ||
| ω be the wheel length | ||
σ be the standard deviation of the double bulge against a single character, viz ![]() |
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| z be the typical double bulge against a single character | ||
| x be the observed sum of the moduli of double bulges. | ||
| The expected modules of the score against a single character is | ||
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W1 | |
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W2 | |
| Its variance is | ||
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| and hence its standard deviation is | ||
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W3 | |
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W4 | |
| from W2, the expected sum of moduli for the whole wheel is | ||
or ![]() |
W5 | |
| from W4, its standard deviation is | ||
or ![]() |
W6 | |
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