The statistics of cross-validation residuals - Theory
The expected values of the residuals derived in the previous section
may be used to give estimated values of the generalised R-factor,
, defined by
We define
as
based on p excluded
reflections. If there are only random and uncorrelated errors then the
numerator of
may be approximated by
and using equation (8) we can write
We define
as
based on all f included
reflections and if the weights have been scaled so that the residual in the
numerator is equal to its expected value then
The statistics of cross-validation residuals - Theory