On Using a Normal Approximation for the Noncentral t-Distribution in Determining Upper Limits for Future Sample Relative Repeatability and Reproducibility Standard Deviations

Autor:	Foster D McClure, Jung K Lee
Rok vydání:	2009
Předmět:	Pharmacology Reproducibility Monte Carlo method Mathematical analysis Repeatability Sample (graphics) Standard deviation Analytical Chemistry Distribution (mathematics) Noncentral t-distribution Environmental Chemistry Limit (mathematics) Agronomy and Crop Science Food Science Mathematics
Zdroj:	Journal of AOAC INTERNATIONAL. 92:320-328
ISSN:	1944-7922 1060-3271
Popis:	Formulas, based on a normal approximation for the noncentral t-distribution, were developed to compute 100p one-tailed upper limits for future sample relative repeatability and relative reproducibility standard deviations (RSDr, and RSDR,) collaboratively obtained under a completely randomized model. The accuracy of the formulas for obtaining a one-tailed upper limit for the future sample RSDr, was assessed by comparing the computed noncentral t-distribution-based upper limits with the one-tailed upper limits based on a normal approximation for the noncentral t-distribution. The accuracy of the normal approximation formula for obtaining a one-tailed upper limit for a future sample RSDR, was assessed by comparing the formula-based one-tailed upper limits with those obtained in a Monte Carlo simulation study.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::20045e29ae1ce784a0ac94a140037f15 https://doi.org/10.1093/jaoac/92.1.320 Zobrazit plný text záznamu Plný text ve formátu PDF