Introducing nonlinear, multivariate 'Predictor Surfaces' for quantitative modeling of chemical systems with higher-order, coupled predictor variables

Analytica Chimica Acta

Volumn 746, Issue , 2012, Pages 1-14

  Horton, Rebecca B ^a   McConico, Morgan ^a   Landry, Currie ^a   Tran, Tho ^a   Vogt, Frank ^a  

^a UNIVERSITY OF TENNESSEE   (United States)

Author keywords

Fourier transform infrared; In situ environmental sensing; Microalgae; Multivariate polynomial Predictor Surfaces; Nonlinear chemometrics

Indexed keywords

CHEMOMETRICS; ENVIRONMENTAL SENSING; FOURIER TRANSFORM INFRARED; MICRO-ALGAE; MULTIVARIATE POLYNOMIAL;

ALGAE; BIOLOGICAL MATERIALS; CHEMICAL ANALYSIS; MICROORGANISMS; PRINCIPAL COMPONENT ANALYSIS;

NUTRIENTS;

AMMONIA; CARBON; INORGANIC CARBON; NITRATE; NITROGEN; UNCLASSIFIED DRUG;

ACCURACY; ARTICLE; BIOMASS; CHEMICAL ANALYSIS; INFRARED SPECTROSCOPY; MATHEMATICAL COMPUTING; MICROALGA; NUTRIENT; PREDICTION; PREDICTIVE VALUE; PREDICTOR SURFACE; PRIORITY JOURNAL; QUANTITATIVE ANALYSIS;

EID: 84866046509     PISSN: 00032670     EISSN: 18734324     Source Type: Journal    
DOI: 10.1016/j.aca.2012.08.002     Document Type: Article

References (43)

1. Fabregas C., Herrero J., Abalde R., Liano B., Cabezas B. Aquaculture 1986, 53:187-199.
2. Sreeja R., Aneesh P., Hasna K., Jayaraj M. J. Electrochem. Soc. 2011, 158:187-191.
3. John C., Amalanathan M., Sajan D., Lakshmi K., Joe I. Spectrochim. Acta 2011, 78:264-272.
4. Sen A., Srivastava M. Regression Analysis-Theory, Methods, Applications 1990, Springer, New York.
5. Weisberg S. Applied Linear Regression 2005, John Wiley & Sons, Hoboken. 3rd ed.
6. Martens H., Naes T. Multivariate Calibration 1991, John Wiley & Sons, New York. 2nd ed.
7. Jolliffe I. Principal Component Analysis 2002, Springer, New York. 2nd ed.
8. Malinowski E. Factor Analysis in Chemistry 2002, John Wiley and Sons, New York. 3rd ed.
9. Gilbert M., Luttrell R., Stout D., Vogt F. J. Chem. Educ. 2008, 85:135-137.
10. Haaland D., Thomas E. Anal. Chem. 1988, 60:1193-1202.
11. Curteanu S., Cartwright H. J. Chemom. 2011, 25:527-549.
12. Schölkopf B., Smola A., Müller K. Neural Comput. 1998, 10:1299-1319.
13. Schölkopf B., Smola A. Learning with Kernels 2002, The MIT Press, Cambridge, Massachusetts/London, England.
14. Luttrell R., Vogt F. J. Chemom. 2008, 22:510-521.
15. Box G., Draper N. Empirical Model-Building and Response Surfaces 1987, John Wiley & Sons, New York.
16. Vogt F., Gritti F., Giuochon G. J. Chemom. 2011, 25:575-585.
17. Beardall J., Beer S., Raven J. Bot. Mar. 1998, 41:113-123.
18. Giordano M. Plant Physiol. 2001, 158:577-581.
19. Domenighini A., Giordano M. J. Phycol. 2009, 45:522-531.
20. Giordano M., Domenighini A., Ratti S., Vogt F. Plant Ecol. Divers. 2009, 2:155-164.
21. Scheffé H. Analysis of Variance 1959, Wiley.
22. Draper N., Smith H. Applied Regression Analysis 1998, John Wiley & Sons, New York. 3rd ed.
23. Turner J., Thayer J. Introduction to Analysis of Variance 2001, Sage Publications, Thousand Oaks.
24. Crow E., Davis F., Maxfield M. Statistics Manual 2011, Dover Publishing, Mineola.
25. Press W., Teukolsky S., Vetterling W., Flannery B. Numerical Recipes in C++ 2002, Cambridge University Press, New York.
26. Galassi M., Davies J., Theiler J., Gough B., Jungman G., Alken P., Booth M., Rossi F. GNU Scientific Library Reference Manual, version 1.12 2009, Network Theory Ltd. 3rd ed.
27. Harrison P., Waters R., Taylor F. J. Phycol. 1980, 16:28-35.
28. Berges J., Franklin D., Harrison J. J. Phycol. 2001, 37:1138-1145.
29. Giordano M., Kansiz M., Heraud P., Beardall J., Wood B., Bayden D., McNaughton D. J. Phycol. 2001, 37(2):271-279.
30. Domenighini A., Giordano M. J. Phycol. 2009, 45(2):522-531.
31. Nasse M., Bellehumeur B., Ratti S., Olivieri C., Buschke D., Squirrell J., Eliceiri K., Ogle B., Patterson C., Giordano M., Hirschmugl C. Vib. Spec. 2012, 60:10-15.
32. Raven J., Giordano M., Beardall J., Maberly S. Philos. Trans. Roy. Soc. B: Biol. Sci. 2012, 367(1588):493-507.
33. Palmucci M., Giordano M. Environ. Exp. Bot. 2012, 75:220-224.
34. Andersen R. Algal Culturing Techniques 2005, Elsevier Academic Press, Burlington.
35. Horton R., Duranty E., McConico M., Vogt F. Appl. Spec. 2011, 65:442-453.
36. Bu D., Huffman S., Seelenbinder J., Brown C. Appl. Spec. 2005, 59:575-583.
37. Vogt F. J. Chem. Educ. 2011, 88:1672-1683.
38. Bro R. Chemom. Intell. Lab. Syst. 1997, 38:149-171.
39. Andersson C., Bro R. Chemom. Intell. Lab. Syst. 2000, 52:1-4.
40. Sidiropoulos N., Bro R. J. Chemom. 2000, 14:229-239.
41. Vogt F., Klocke U., Rebstock K., Schmidtke G., Wander V., Tacke M. Appl. Spec. 1999, 53:1352-1360.
42. Vogt F., Steiner H., Booksh K., Mizaikoff B. Appl. Spec. 2004, 58:683-692.
43. Vogt F., Mizaikoff B. J. Chemom. 2003, 17:346-357.