Weighted least squares in calibration: Estimating data variance functions in high-performance liquid chromatography

Journal of Chromatography A

Volumn 1206, Issue 2, 2008, Pages 147-152

  Zeng, Qiaoling Charlene ^a   Zhang, Elizabeth ^a   Dong, Hong ^a   Tellinghuisen, Joel ^b  

^a Firmenich Inc   (United States)

^b VANDERBILT UNIVERSITY   (United States)

Author keywords

HPLC; Least squares; Variance function estimation; VFE; Weighted least squares

Indexed keywords

CHROMATOGRAPHIC ANALYSIS; CURVE FITTING; DATA FUSION; GEODESY; HIGH PRESSURE LIQUID CHROMATOGRAPHY; LEAST SQUARES APPROXIMATIONS; PARAMETER ESTIMATION;

HPLC; LEAST SQUARES; VARIANCE FUNCTION ESTIMATION; VFE; WEIGHTED LEAST SQUARES;

LIQUID CHROMATOGRAPHY;

ANALYTICAL ERROR; ARTICLE; CALIBRATION; HIGH PERFORMANCE LIQUID CHROMATOGRAPHY; INSTRUMENT; MEASUREMENT; PARAMETER; PRIORITY JOURNAL; REGRESSION ANALYSIS; REPRODUCIBILITY; SYRINGE; VARIANCE; ANALYSIS OF VARIANCE; METHODOLOGY;

ANALYSIS OF VARIANCE; CALIBRATION; CHROMATOGRAPHY, HIGH PRESSURE LIQUID; LEAST-SQUARES ANALYSIS; REPRODUCIBILITY OF RESULTS;

EID: 51549091155     PISSN: 00219673     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chroma.2008.08.036     Document Type: Article

References (28)

1. Mood A.M., and Graybill F.A. Introduction to the Theory of Statistics. second ed. (1963), McGraw-Hill, New York
2. Hamilton W.C. Statistics in Physical Science: Estimation, Hypothesis Testing, and Least Squares (1964), The Ronald Press Co., New York
3. Bevington P.R. Data Reduction and Error Analysis for the Physical Sciences (1969), McGraw-Hill, New York
4. Draper R.N., and Smith H. Applied Regression Analysis. third ed. (1998), Wiley, New York
5. Miller J.N. Analyst 116 (1991) 3
6. Danzer K., and Currie L.A. Pure Appl. Chem. 70 (1998) 993
7. Johnson E.L., Reynolds D.L., Wright D.S., and Pachla L.A. J. Chromatogr. Sci. 26 (1988) 372
8. Karnes H.T., and March C. J. Pharm. Biomed. Anal. 9 (1991) 911
9. Nagaraja N.V., Paliwal J.K., and Gupta R.C. J. Pharm. Biomed. Anal. 20 (1999) 433
10. Sadray S., Rezaee S., and Rezakhah S. J. Chromatogr. B 787 (2003) 293
11. Baumann K., and Wätzig H. J. Chromatogr. A 700 (1995) 9
12. Almeida A.M., Castel-Branco M.M., and Falcão A.C. J. Chromatogr. B 774 (2002) 215
13. Kiser M.K., and Dolan J.W. LC-GC North Am. 22 (2004) 112
14. Tellinghuisen J. Analyst 132 (2007) 536
15. Thompson M. Analyst 113 (1988) 1579
16. Ingle Jr. J.D., and Crouch S.R. Spectrochemical Analysis (1988), Prentice-Hall, Englewood Cliffs, New Jersey
17. Carroll R.J., and Ruppert D. Transformation and Weighting in Regression (1988), Chapman and Hall, New York
18. Davidian M., and Haaland P.D. Chemom. Intell. Lab. Syst. 9 (1990) 231
19. Modamio P., Lastra C.F., and Marino E.L. J. Pharm. Biomed. Anal. 14 (1996) 401
20. Tellinghuisen J. Appl. Spectrosc. 54 (2000) 431
21. Tellinghuisen J. Anal. Biochem. 343 (2005) 106
22. Tellinghuisen J. Analyst 133 (2008) 161
23. J. Tellinghuisen, in press.
24. Press W.H., Flannery B.P., Teukolsky S.A., and Vetterling W.T. Numerical Recipes (1986), Cambridge University Press, Cambridge, U.K.
25. Tellinghuisen J. J. Chem. Educ. 77 (2000) 1233
26. Tellinghuisen J. J. Chem. Educ. 82 (2005) 157
27. Publication now found in the literature for the 1200 Series system, "Agilent 1200 Series Injection Systems," locatable by entering this title in the Keyword box at the Literature Library page, http://www.chem.agilent.com/scripts/library.asp.
28. Q.C. Zeng, J. Tellinghuisen, Analyst, submitted for publication.