General Report on Tunny


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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