Overcoming Multicollinearity in Near Infrared Analysis for Lycopene Content Estimation in Tomatoes by Using Ridge Regression

Journal of Testing and Evaluation

Volumn 29, Issue 1, 2001, Pages 60-66

  Pasternak, H ^b   Schmilovitch, Z ^b   Fallik, E ^b   Edan, Y ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b NONE

Author keywords

Linear regression; Lycopene; Multicollinearity; Near infrared spectroscopy; Ridge regression; Tomato

Indexed keywords

EID: 0038101608     PISSN: 00903973     EISSN: None     Source Type: Journal    
DOI: 10.1520/jte12392j     Document Type: Article

References (22)

1. Stroshine et al. in Proceedings of the BARD International Workshop on Nondestructive Technologies for Quality Evaluation of Fruits and Vegetables, Spokane, WA, 1993, pp. 97-111.
2. Slaughter, C. D., Barrett, D., and Boersig, M., "Nondestructive Determination of Soluble Solids in Tomatoes Using Near Infrared Spectroscopy," Journal of Food Science, Vol. 61, No. 4, 1996, pp. 695-697.
3. Osborne, B. G., Fearn, T., and Stevenson, S. G. "Near-Infrared Research in Europe," Near-Infrared Technology in the Agricultural and Food Industries, P. Williams, and K. Norris Eds., American Association of Cereal Chemists Inc., St. Paul, MN, 1987, pp. 185-196.
4. Schmilovitch, Z., Bernstein, Z., Austerweill, M., Zaltzman, A., and Dull, B. G., Making Light Work: Advances in Near Infrared Spectroscopy, I. Murray and I. A., Cow, Eds., Ian Michael Publication, 1992, pp 425-429.
5. Martens, H. and Naes, T., "Multivariate Calibration by Data Compression" Near-Infrared Technology in the Agricultural and Food Industries, " P. Williams and K. Norris, Eds., American Association of Cereal Chemists Inc., St. Paul, MN, 1987, pp. 57-84.
6. Minguez-Mosquera, I., and Gallardo-Guerro, L., "Disappearance of Chlorophylls and Carotenoids During Ripening of the Olive," J. Sci. Food Agric. Vol. 69, No. 1, 1995.
7. Mark, H., "Data Analysis: Multilinear Regression and Principal Component Analysis," Handbook of Near-Infrared Analysis. D. A. Burns, and E. W. Ciurczak, Eds., Marcel Dekker Inc., NY, 1992, pp. 107-158.
8. Goldberger, A. S., A Course in Econometrics, Harvard University Press. Cambridge 1991.
9. Naes, T. and Irgens, C., "Comparison of Linear Statistical Methods for Calibration of NIR Instruments, "Applied Statistics, Vol. 35, No. 2, 1986, p. 195.
10. Gunst, R. F. and Mason, R. L., "Some Consideration in the Evaluation of Alternate Prediction Equations," Technometrics, Vol. 21, No. 1, 1979, p. 55.
11. Fearn, T., Making Light Work: Advances in Near Infrared Spectroscopy. I. Murray and I. A. Cow, Eds., Ian Michael Publication, 1992, pp. 147-152.
12. Fearn, T., "A Misuse of Ridge Regression in the Calibration of Near Infrared Instruments," Applied Statistics, Vol. 32, No. 1, 1983, p. 73.
13. Williams, P. C., "Commercial Near-Infrared Reflectance Analyzers," Near-Infrared Technology in the Agricultural and Food Industries, P. Williams and K. Norris, Eds., American Association of Cereal Chemists Inc., St. Paul, MN, 1987, pp. 107-136.
14. Judge, G. G., Hill, R. C., Griffiths, W. E., Lutkepohl, H., and Lee, T., Introduction to the Theory and Practice of Econometrics, John Wiley and Sons, NY 1992.
15. Jerome, J. W., Jr., "NIR Spectroscopy Calibration Basics," Handbook of Near-infrared Analysis, D. A. Burns and E. W. Ciurczak, Eds., Marcel Dekker Inc., New York, 1992, pp. 247-280.
16. Hruschka, W. R., "Data Analysis: Wavelength Selection Methods," Near-Infrared Technology in the Agricultural and Food Industries, P. Williams and K. Norris, Eds., American Association of Cereal Chemists Inc., St. Paul, MN, 1987, pp. 35-53.
17. Evans, D. G.. Legrand, A., Jewell, K., and Scotter, C. N. G., "Use of High Order Principal Component in NIR Spectroscopy," Journal of Near-Infrared Spectroscopy, Vol. 1, 1993, p. 209.
18. Dhanona, M. S., Lister, S. J., France, J., and Barnes, R. J., "Use of Mean Square Prediction Error Analysis and Reproducibility Measures to Study Near Infrared Calibration Equation Performance," Journal of Near Infrared Spectroscopy, Vol. 17, 1999, pp. 133-143.
19. Frank, I. E. and Friedman J. H., "A Statistical View of Some Chemometrics Regression Tools," Technometrics, Vol. 35, No. 2, 1993, pp. 109-135.
20. Lu, J., McClure, W. F., Barton F. E., II, and Himmelsbach, D. S., "Effect of Random Noise on the Performance of NIR Calibrations," Journal of Near Infrared Spectroscopy, Vol. 6, 1998, pp. 77-87.
21. Jerome, J. W., Jr. and Burns, D. A., "Commercial NIR Instrumentation," Handbook of Near-Infrared Analysis, D. A. Burns and E. W. Ciurczak, Eds., Marcel Dekker Inc., New York, 1992, pp. 37-53.
22. Hindle, P. H. and Smith, C. R. R., "A Comparison of Calibration Robustness Relating to Different Data Treatments of a Standard Set of Spectra," Journal of Near Infrared Spectroscopy, Vol. 4, 1996, pp. 119-128.