We summarise the effects of the partial adjustment in a similar fashion to that for a full adjustment. We make the following definition.
DEFINITION The 
partial canonical direction for the
adjustment of B by F given D is the linear combination 
which
maximises 
over all elements in 
with non-zero prior
variance which are uncorrelated with each 
, scaled so
that each 
. The values
are termed the partial canonical resolutions.
The partial canonical directions for F given D are evaluated exactly as are the canonical directions for D, as described in subsection 3.6, but the eigenstructure is extracted from the partial resolution matrix
The collection 
forms a ``grid'' of directions over
, summarising the additional effects of the adjustment. Having adjusted
by D, we expect to learn most additionally from F for those linear
combinations of the elements of B which have large correlations with those
partial canonical directions with large resolutions. The exact relation is as
before, namely for any 
,
where
The system partial resolution is
The resolution is additive, namely
When we have made the adjustment, in addition to evaluating canonical
standardised adjustments for the adjustment by D and by 
, we
may obtain similar qualitative insights into the changes in adjustment by
evaluating the partial canonical standardised adjustments which are as
in subsection 4.3 but applied to the adjustment by
.