Abstract
The inclusion rating method by statistics of extreme values (IRMSE) using [Formula: see text] of inclusions as the size parameter enables one to discriminate between current super-clean steels. Moreover, IRMSE enables one to predict the size [Formula: see text] of maximum inclusions contained in domains larger than the inspection domain. The statistical distribution of [Formula: see text] can be used for the quality control of materials and for the prediction of a scatter band of fatigue strength. Practical procedures of inclusion rating and prediction of a scatter band of fatigue strength are shown.