Partial factorial designs for multivariate calibration: Extension to seven levels and comparison of strategy

Chemometrics and Intelligent Laboratory Systems

Volumn 43, Issue 1-2, 1998, Pages 89-105

  Aybar Muñoz, Juan ^a   Brereton, Richard G ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Calibration; Chemometrics; Experimental design; Mixtures

Indexed keywords

CALIBRATION; CHEMOMETRIC ANALYSIS; MULTIVARIATE ANALYSIS; PRIORITY JOURNAL; REVIEW;

EID: 0032575944     PISSN: 01697439     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-7439(98)00083-5     Document Type: Article

References (22)

1. W.G. Cochran, G.M. Cox, Experimental Design, Wiley, New York, 1957.
2. G.E.P. Box, W.G. Hunter, J.S. Hunter, Statistics for Experimenters, Wiley, New York, 1978.
3. Plackett R.L., Burman J.P. The design of optimum multifactorial experiments. Biometrika. 33:1946;305-325.
4. R.G. Brereton, Chemometrics: Applications of Mathematics and Statistics to Laboratory Systems, Ellis Horwood, Chichester, 1993.
5. Brereton R.G. Multilevel multifactor designs for multivariate calibration. Analyst. 122:1997;1521-1529.
6. N. Logothetis, H.P. Wynn, Quality through design: experimental design, off-line quality control, and Taguchi's contribution, Clarendon Press, Oxford, 1989.
7. Rao C.R. Factorial experiments derivable from combinatorial arrangements of arrays. J. R. Stat. Soc. Suppl. 9:1947;128-140.
8. Bose R.C., Bush K.A. Orthogonal arrays of strength two and three. Ann. Math. Stat. 23:1952;508-524.
9. Seiden E. On the problem of construction of orthogonal arrays. Ann. Math. Stat. 25:1954;151-156.
10. Addelman S., Kempthorne O. Some main-effect plans and orthogonal arrays of strength two. Ann. Math. Stat. 32:1961;1167-1176.
11. Starks T.H. A note on small orthogonal main-effect plans for factorial experiments. Technometrics. 6:1964;220-222.
12. Dey A., Ramakrishna G.V.S. A note on orthogonal main-effect plans. Technometrics. 19:1977;511-512.
13. Dey A., Agrawal V. Orthogonal fractional plans for asymmetrical factorials derivable from orthogonal arrays. Sankhya. 47:1985;56-66. Series B.
14. Agrawal V., Dey A. Orthogonal resolution-IV designs for some asymmetrical factorials. Technometrics. 25:1983;197-199.
15. Kharaghani H. Construction of orthogonal designs. Ars Combinatoria. 24:1987;149-151.
16. Kharaghani H. A new class of orthogonal designs. Ars Combinatoria. 35:1993;129-134.
17. Bierbrauer J. Construction of orthogonal arrays. J. Stat. Plan. Inf. 56:1996;39-47.
18. Draper N.R., Prescott P., Lewis S.M., Dean A.M., John P.W.M., Tuck M.G. Mixture designs for four components in orthogonal blocks. Technometrics. 36:1994;234.
19. Prescott P., Draper N.R., Lewis S.M., Dean A.M. Further properties of mixture designs for five components in orthogonal blocks. J. Appl. Stat. 24:1997;147-156.
20. Araujo P.W., Brereton R.G. Visualisation of confidence in two-factor designs where model, replication and star points are varied. Analyst. 122:1997;621-630.
21. Araujo P.W., Brereton R.G. Experimental design: III. Quantification. Trends Anal. Chem. 15:1996;156-163.
22. Allus M.A., Brereton R.G., Nickless G. The use of experimental design, multilinear regression, ANOVA, confidence bands and leverage in a study of the influence of metals on the growth of barley seedlings. Chemometr. Intell. Lab. Syst. 6:1989;65-80.