When we adjust a collection, B, of random quantities by a further collection
D, there are many standardised adjustments that we may evaluate. A systematic
collection of such consistency checks on our specification is provided by
evaluating the standardised value for each of the canonical directions, 
,
for the adjustment. We term these values the canonical standardised
adjustments defined as
There are two types of diagnostic information given by these values. Quantitatively, any aberrant value may require scrutiny. Qualitatively, we may look for systematic patterns. For example, as we expect larger changes in belief for the first canonical directions than for subsequent directions, a particularly revealing pattern would be a sequence of decreasing absolute values, which might suggest qualitatively a false prior classification between the more and the less informative directions.
