Selecting the correct weighting factors for linear and quadratic calibration curves with least-squares regression algorithm in bioanalytical LC-MS/MS assays and impacts of using incorrect weighting factors on curve stability, data quality, and assay performance

Analytical Chemistry

Volumn 86, Issue 18, 2014, Pages 8959-8966

  Gu, Huidong ^a   Liu, Guowen ^a   Wang, Jian ^a   Aubry, Anne Françoise ^a   Arnold, Mark E ^a  

^a BRISTOL MYERS SQUIBB   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALIBRATION; REGRESSION ANALYSIS;

BIOANALYTICAL; CALIBRATION CURVES; CONCENTRATION RANGES; HISTORICAL DATA; LEAST SQUARES REGRESSION; STANDARD DEVIATION; WEIGHTED LEAST SQUARES; WEIGHTING FACTORS;

ASSAYS;

EID: 84913580209     PISSN: 00032700     EISSN: 15206882     Source Type: Journal    
DOI: 10.1021/ac5018265     Document Type: Article

References (28)

1. Almeida, A. M.; Castel-Branco, M. M.; Falcao, A. C. J. Chromatogr. B 2002, 774, 215-222.
2. Tellinghuisen, J. Analyst 2007, 132, 536-543.
3. Nagaraja, N. V.; Paliwal, J. K.; Gupta, R. C. J. Pharm. Biomed. Anal. 1999, 20, 433-438.
4. Mulholland, M.; Hibbert, D. B. J. Chromatogr. A 1997, 762, 73- 82.
5. Miller, J. N. Analyst 1991, 116, 3-14.
6. Guidance for industry?bioanalytical method validation. http:// www.fda.gov/downloads/Drugs/Guidances/ucm070107.pdf (accessed Sept 1, 2013).
7. Guidelines for validation of bioanalytical methods. http://www. ema.europa.eu/docs/en-GB/document-library/Scientific-guideline/2011/08/WC500109686.pdf (accessed October 21, 2013).
8. Kiser, M. M.; Dolan, J. W. LC•GC Eur. 2004, 17, 138-143.
9. Steliopoulos, P.; Stickel, E. Anal. Chim. Acta 2007, 592, 181.
10. Jain, R. B. Clin. Chim. Acta 2010, 411, 270-279.
11. Burrows, J. Bioanalysis 2013, 5, 959-978.
12. Tan, A.; Levesque, I. A.; Levesque, I. M.; Viel, F.; Boudreau, N.; Levesque, A. J. Chromatogr. B 2011, 879, 1954-1960.
13. Handbook of LC-MS Bioanalysis: Best Practices, Experimental Protocols, and Regulations; Li, W., Zhang, J., Tse, F. L. S., Eds.; John Wiley & Sons, Inc.: Hoboken, New Jersey, 2013; pp 403-415.
14. General description of homoscedasticity. https://en.wikipedia. org/wiki/Homoscedasticity (accessed August 8, 2013).
15. General description of heteroscedasticity. https://en.wikipedia. org/wiki/Heteroscedasticity (accessed August 8, 2013).
16. Gu, H.; Deng, Y.; Wang, J.; Aubry, A.; Arnold, M. J. Chromatogr. B 2010, 878, 2319-2326.
17. Clifford, A. A. Multivariate Error Analysis; John Wiley & Sons, Inc.: Hoboken, New Jersey, 1973.
18. Aitken, A. C. Proc. R. Soc. Edinburgh 1935, 55, 42-48.
19. General description of least-squares. http://en.wikipedia.org/wiki/Least-squares (accessed January 21, 2004).
20. Engineering handbook?description of weighted least squares regression. http://www.itl.nist.gov/div898/handbook/pmd/section1/pmd143.htm (accessed August 20, 2013).
21. Ryan, T. P. Modern Regression Methods; John Wiley & Sons, Inc.: Hoboken, New Jersey, 1997.
22. Johnson, E. L.; Reynolds, E. L.; Wright, D. S.; PAchla, L. A. J. Chromatogr. Sci. 1998, 26, 372-379.
23. Karnes, H. T.; Shiu, G.; Shah, V. P. Pharm. Res. 1991, 8, 421- 426.
24. Box, G. E. P.; Hunter, W. G.; Hunter, J. S. Statistics for Experimenters, 1978, John Wiley & Sons, Inc.: Hoboken, New Jersey.
25. Finney, D. J.; Phillips, P. J. Appl. Stat. 1977, 26, 312-320.
26. Aubry, A.; Gu, H.; Magnier, R.; Morgan, L.; Xu, X.; Tirmenstein, M.; Wang, B.; Deng, Y.; Cai, J.; Couerbe, P.; Arnold, M. Bioanalysis 2010, 2, 2001-2009.
27. Dawes, M. L.; Gu, H.; Wang, J.; Schuster, A. E.; Haulenbeek, J. J. Chromatogr. B 2013, 934, 1-7.
28. Gu, H. et al. Bristol-Myers Squibb, Princeton, New Jersey. Unpublished work, 2013.