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!
!
!
!
µ h " d c
D # H .
It is equivalent to saying that p(ac h) is not
be rejected. We test this as follows. If it is the case that
h c
H > d c
D ,
!
!
63
p(a c ) , and therefore the null hypothesis can
and if we choose a significance threshold of 0.05, we can reject H 0 iff our p-
value
"
# HYP(H,D, x,dc) < 0.05. P-value is also defined and discussed in Chapter 3
x= h(a) h
(Statstical evaluation section). The left hand side of the latter inequality can be
interpreted as the probability that hc or more residues of class ac could be found in
hinges, assuming 0 H and given H,D, and dc. The argument of the sum is the
hypergeometric function, which gives the probability that dc residues taken without
replacement from a set of D residues of which H are hinges, would contain exactly x
hinges:
" H
$
# x
HYP(H,D,x,d c ) =
% " D ( H%
' $ '
& # dc ( x&
" D
$
#
%
'
&
Equation 3
d c
Otherwise, if it is the case that