AOAC SPIFAN Nutrients ERP (December 7, 2022)

Amino-07 (SLV) 10-2022 FOR ERP USE ONLY DO NOT DISTRIBUTE

standard deviation of duplicates = � ∑ ( 1 − 2 ) 2 =1 2

eqn 8 where: = repeatability standard deviation of data set 1 = th value of data set, first duplicate 2 = th value of data set, second duplicate = number of duplicate pairs in data set where: = relative standard deviation of data set = standard deviation of data set = mean of value of data set eqn 9 = 2 ( 1−0 . 5 log ) ≈ 2 −0 . 1505 where: = predicted relative standard deviation reproducibility = fractional concentration value ∈ �� ( − 1) 2 ( / ) 1− / 2 , −1 2 , � ( − 1) 2 ( / ) / 2 , 2 −1 � where: = lower, upper limits of confidence interval = relative standard deviation of data set = number of samples in data set ( / ) 1− / 2 , −1 2 = chi/mu-square critical values eqn 13 where: 0 = estimated standard deviation at or near zero = mean of value of data set = th value of data set = number of values in data set eqn 11 eqn 12 = eqn 10 where: = Horwitz ratio = data set = repeatability relative standard deviation of reproducibility predicted relative standard deviation

relative standard deviation (%) = × 100

repeatability Horwitz ratio

predicted reproducibility

95% confidence interval (Gao technique)

Limit of Quantitation estimated standard deviation 0 = � ( − ) 2 − 1