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 | ||
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 | ||
W1 | ||
W2 | ||
Its variance is | ||
and hence its standard deviation is | ||
W3 | ||
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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