We have determined 
and 
, and we can similarly
obtain the adjusted expectation for any linear combination of 
and 
.
In particular, we can evaluate the adjusted expectation for each
canonical direction and determine their corresponding standardised
values:
In each case, these adjusted values are changes from prior expectations of zero. The standardised changes are
Thus, there are changes over both directions of the belief grid, but the
change for the second direction (about which we are reducing uncertainty
hardly at all, because we have seen that its resolution is
) is somewhat larger than expected, and warns us of
a possible complication that may need investigation.
Examination of the standardised adjusted expectation formula for
(shown in section 4.5) shows us that the more
influential quantity is 
. This serves as yet another warning
that has some peculiar feature.