title: Determining a one-tailed upper limit for future sample relative reproducibility standard deviations.
abstract: A formula was developed to determine a one-tailed 100p% upper limit for future sample percent relative reproducibility standard deviations (RSD(R),%= 100s(R)/y), where S(R) is the sample reproducibility standard deviation, which is the square root of a linear combination of the sample repeatability variance (s(r)2) plus the sample laboratory-to-laboratory variance (s(L)2), i.e., S(R) = s(L)2, and y is the sample mean. The future RSD(R),% is expected to arise from a population of potential RSD(R),% values whose true mean is zeta(R),% = 100sigmaR, where sigmaR and mu are the population reproducibility standard deviation and mean, respectively.
authors.affiliation: U.S. Food and Drug Administration, Center for Food Safety and Applied Nutrition, Office of Scientific Analysis and Support, Division of Mathematics, Department of Health and Human Services, College Park, MD 20740-3835, USA. foster.mcclure@cfsan.fda.gov
authors.forename: Foster D
authors.initials: FD
authors.lastname: McClure
authors.forename: Jung K
authors.initials: JK
authors.lastname: Lee
mesh_terms: D002138:Calibration; D002623:Chemistry Techniques, Analytical / Q000379:methods*; D003627:Data Interpretation, Statistical; D004350:Drug Residues / Q000032:analysis*; D015233:Models, Statistical; D008962:Models, Theoretical; D011381:Programming Languages; D012015:Reference Standards; D015203:Reproducibility of Results; D012984:Software; D013223:Statistics as Topic