I can't find articles that describe the quality of multivariate statistical models according to RMSEC, RMSECV and RMSEP values. I find only describing about R2 and RPD, as in the Williams 2003 article.
This looks like the old PRESS analysis (David Allen who was at the university of Kentucky ,)n multivariate language. Why can't you use AIC ? It's a bit more modern and IMO a better way to compare predictive models. Some references are given in the attached paper. Best wishes David Booth