Normality test for determining the correction factor of isotopic composition in PWR spent fuel

Normality test has been carried out for the ratios of the measured-to-calculated isotopic compositions in PWR spent fuel, using Shapiro-Wilk W, Lilliefors D, Cramer-von Mises and Anderson-Darling. All 38 istopices have been evaluated by means of the 1.5xIQR rule and then outliers have been discarded. As result, it seems that only 20 nuclides are satisfied with the normality at significance level 5 %. 18 Nuclides(samples) including U-235 have higher significance probability(p-value) than 25 % in W-test and p-values obtained by other three tests exceed the upper limit. Besides, in 6 nuclides including Pu-239, it seems that the p-values are between 5 % and 25 % in W test. From these results, in order to predict the isotopic compositions in the conservative point of view, it is decided that the correction factors for the nuclides are determined at the 95/95 probability and confidence level by using tolerance limit-methods with the assumption that only 18 nuclides are satisfied with thr normality