Bootstrap-based tolerance intervals for application to method validation

Chemometrics and Intelligent Laboratory Systems

Volumn 89, Issue 2, 2007, Pages 69-81

  Rebafka, Tabea ^a   Clémençon, Stéphan ^b   Feinberg, Max ^b  

^a TELECOM PARISTECH   (France)

^b Unité INRA   (France)

Author keywords

Accuracy profile; Bootstrap; Method validation; One way random effects model; Tolerance interval

Indexed keywords

NICOTINAMIDE; NICOTINIC ACID;

ACCURACY; ANALYTIC METHOD; ARTICLE; BOOTSTRAPPING; COMPUTER SIMULATION; DAIRY PRODUCT; EXPERIMENTAL STUDY; HIGH PERFORMANCE LIQUID CHROMATOGRAPHY; MATHEMATICAL ANALYSIS; MILK; NONPARAMETRIC TEST; PRIORITY JOURNAL; VALIDATION STUDY;

EID: 34548638258     PISSN: 01697439     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chemolab.2007.06.001     Document Type: Article

References (20)

1. Hubert P., Nguyen-Huu J.J., Boulanger B., Chapuzet E., Chiap P., Cohen N., Compagnon P., Dewe W., Feinberg M., Lallier M., Laurentie M., Mercier N., Muzard G., Nivet C., and Valat L. Harmonization of strategies for the validation of quantitative analytical procedures: a SFSTP proposal - part I. Journal of Pharmaceutical and Biomedical Analysis 36 3 (2004) 579-586
2. Feinberg M., Boulanger B., Dewé W., and Hubert P. New advances in method validation and measurement uncertainty aimed at improving the quality of chemical data. Analytical and Bioanalytical Chemistry 380 3 (2004) 502-514
3. Feinberg M., and Laurentie M. A global approach to method validation and measurement uncertainty. Accreditation and Quality Assurance 11 (2006) 3-9
4. Wilks S.S. Determination of sample sizes for setting tolerance limits. Annals of Mathematical Statistics 12 1 (1941) 91-96
5. Mee R.W. β-expectation and β-content tolerance limits for balanced one-way ANOVA random model. Technometrics 26 3 (1984) 251-254
6. Lin T.Y., and Liao C.T. A β-expectation tolerance interval for general balanced mixed linear models. Computational Statistics & Data Analysis 50 (2006) 911-925
7. Wald A., and Wolfowitz J. Tolerance limits for a normal distribution. Annals of Mathematical Statistics 17 2 (1946) 208-215
8. Howe W.G. Two-sided tolerance limits for normal populations - some improvements. Journal of American Statistical Association 64 (1969) 610-620
9. Wallis W.A. Tolerance intervals for linear regression. Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability (1951) 43-52
10. Weissberg A., and Beatty G. Tables of tolerance-limit factors for normal distributions. Technometrics 2 4 (1960) 483-500
11. Hoffman D., and Kringle R. Two-sided tolerance intervals for balanced and unbalanced random effects models. Journal of Biopharmaceutical Statistics 15 (2005) 283-293
12. Liao C.T., and Iyer H.K. A tolerance interval for the normal distribution with several variance components. Statistica Sinica 14 (2004) 217-229
13. Mee R.W., and Owen D.B. Improved factors for one-sided tolerance limits for balanced one-way ANOVA random model. Journal of American Statistical Association 78 384 (1983) 901-905
14. Paulson E. A note on control limits. Annals of Mathematical Statistics 14 (1943) 90-93
15. Efron B. Bootstrap methods: another look at the jackknife. Annals of Statistics 7 3 (1979) 1-26
16. Shao J., and Tu D. The Jacknife and Bootstrap. Springer Series in Statistics (1993), Springer
17. Efron B., and Tibshirani R.J. An Introduction to the Bootstrap. Monographs on Statistics and Applied Probability (1993), Chapman & Hall
18. Wehrens R., Putter H., and Buydens L. The bootstrap: a tutorial. Chemometrics and Intelligent Laboratory Systems 54 (2000) 35-52
19. Fernholz L.T., and Gillespie J.A. Content-corrected tolerance limits based on the bootstrap. Technometrics 43 2 (2001) 147-155 (9)
20. M. Feinberg; Validation of analytical methods based on accuracy profiles. J. Chromatogr. A (in press), doi:10.1016/j.chroma.2007.02.021.