On using an approximate noncentral t-distribution in determining a one-side upper limit for future sample relative reproducibility standard deviations.
For future sample relative reproducibility standard deviations (RSD(R)), collaboratively obtained under a completely randomized model (CRM), a new formula for determining a one-tailed 100p% upper limit (kappap) for such RSD(R) values was developed based on an approximate noncentral t-distribution with degrees of freedom obtained using Satterthwaite's adjustment. The accuracy of kappap was assessed by comparing kappap and its probability levels with similar values associated with a Monte Carlo simulation and with those obtained using another formula (gammap) that was developed for the same purpose but based on a normal approximation.
McClure
Foster D
FD
U.S. Food and Drug Administration, Center for Food Safety and Applied Nutrition, Office of Scientific Analysis and Support, Division of Mathematics, 5100 Paint Branch Pkwy, College Park, MD 20740-3835, USA. foster.mcclure@fda.hhs.gov
Lee
Jung K
JK
D002623:Chemistry Techniques, Analytical / Q000379:methods*; D003627:Data Interpretation, Statistical; D015233:Models, Statistical; D008962:Models, Theoretical; D009010:Monte Carlo Method; D015203:Reproducibility of Results; D012107:Research Design; D018401:Sample Size; D013223:Statistics as Topic / Q000379:methods*