In order to choose correctly the dimension of calibration model in chemistry, a new simple
and effective method named Monte Carlo cross validation (MCCV) is introduced in the
present work. Unlike leave-one-out procedure commonly used in chemometrics for cross
validation (CV), the Monte Carlo cross validation developed in this paper is an
asymptotically consistent method in determining the number of components in calibration
model. It can avoid an unnecessary large model and therefore decreases the risk of over …