PL EN


Preferences help
enabled [disable] Abstract
Number of results
2014 | 68 | 1-2 | 63-73
Article title

Statistical Analysis of Adsorption Experimental Data – the Influence of the Selection of Error Function on Optimized Isotherm Parameters

Content
Title variants
Languages of publication
EN
Abstracts
EN
Experimental adsorption data were analysed by fitting them to nonlinear forms of Langmuir and Freundlich isotherms. Optimization of the parameters was performed by nonlinear least square regression with different forms of error function, namely: vertical, horizontal, orthogonal, normal and squared normal. The results showed, that isotherm parameters may be affected by the selection of error function and that they are more sensitive to its’ form in case of Langmuir equation. We did not find any correlation between a type of the function and performance of the regression – procedure requires optimization for every experimental dataset and every model being fitted.
Keywords
Publisher
Year
Volume
68
Issue
1-2
Pages
63-73
Physical description
Dates
online
17 - 10 - 2014
References
  • 1. M. I. El-Khaiary, Journal of Hazardous Materials, 158, 73, (2008).
  • 2. T. Robinson et al., Bioresource Technology, 77, 247, (2001).
  • 3. Y. S. Ho et al., Process Biochemistry, 40, 119, (2005).
  • 4. G. McKay et al., Water Air Soil Pollution, 114, 423, (1999).
  • 5. I. Langmuir, Journal of the American Chemical Society, 38, 2221, (1916).
  • 6. H. M. F. Freundlich, Zeitschrift für Physikalische Chemie, 57, 385, (1906).
  • 7. S. Chatterjee and J. S. Simonoff, “Handbook of Regression Analysis”, John Wiley and Sons, New Jersey, 2013.
  • 8. N. R. Draper and H. Smith, “Applied Regression Analysis”, John Wiley and Sons, New York, 1998.
  • 9. “Measurement Error in Nonlinear Models. A Modern Perspective”, Monographs on Statistics and Applied Probability, 105, Taylor and Francis Group, Boca Raton, 2006.
  • 10. M. Hadi et al., Chemical Engineering Journal, 160, 408, (2010).
  • 11. M. Walesiuk and E. Gantar, “Statystyczna analiza danych z wykorzystaniem programu R”, Wydawnictwo Naukowe PWN, Warszawa, 2012.
  • 12. H.-T. Thai et al., Journal of Pharmacokinetics and Pharmacodynamics, 41, 15, (2014).[Crossref]
  • 13. A. Spiess and N. Neumayer, BioMed Central Pharmacology, 10, 6, (2010)
  • 14. W. C. Rooney and L. T. Biegler, Process Systems Engineering, 47, 1794, (2001).
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_umcschem-2013-0006
Identifiers
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.