A New Approach in Regression Analysis for Modeling Adsorption Isotherms
2014
Аутори
Marković, Dana D.Lekić, Branislava
Rajaković-Ognjanović, Vladana
Onjia, Antonije
Rajaković, Ljubinka V.
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
Numerous regression approaches to isotherm parameters estimation appear in the literature. The real insight into the proper modeling pattern can be achieved only by testing methods on a very big number of cases. Experimentally, it cannot be done in a reasonable time, so the Monte Carlo simulation method was applied. The objective of this paper is to introduce and compare numerical approaches that involve different levels of knowledge about the noise structure of the analytical method used for initial and equilibrium concentration determination. Six levels of homoscedastic noise and five types of heteroscedastic noise precision models were considered. Performance of the methods was statistically evaluated based on median percentage error and mean absolute relative error in parameter estimates. The present study showed a clear distinction between two cases. When equilibrium experiments are performed only once, for the homoscedastic case, the winning error function is ordinary least squar...es, while for the case of heteroscedastic noise the use of orthogonal distance regression or Margart's percent standard deviation is suggested. It was found that in case when experiments are repeated three times the simple method of weighted least squares performed as well as more complicated orthogonal distance regression method.
Извор:
Scientific World Journal, 2014Издавач:
- Hindawi Ltd, London
Финансирање / пројекти:
- Нове технологије за мониторинг и заштиту животног окружења од штетних хемијских супстанци и радијационог оптерећења (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-43009)
DOI: 10.1155/2014/930879
ISSN: 1537-744X
PubMed: 24672394
WoS: 000330888100001
Scopus: 2-s2.0-84896896209
Институција/група
Tehnološko-metalurški fakultetTY - JOUR AU - Marković, Dana D. AU - Lekić, Branislava AU - Rajaković-Ognjanović, Vladana AU - Onjia, Antonije AU - Rajaković, Ljubinka V. PY - 2014 UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/2757 AB - Numerous regression approaches to isotherm parameters estimation appear in the literature. The real insight into the proper modeling pattern can be achieved only by testing methods on a very big number of cases. Experimentally, it cannot be done in a reasonable time, so the Monte Carlo simulation method was applied. The objective of this paper is to introduce and compare numerical approaches that involve different levels of knowledge about the noise structure of the analytical method used for initial and equilibrium concentration determination. Six levels of homoscedastic noise and five types of heteroscedastic noise precision models were considered. Performance of the methods was statistically evaluated based on median percentage error and mean absolute relative error in parameter estimates. The present study showed a clear distinction between two cases. When equilibrium experiments are performed only once, for the homoscedastic case, the winning error function is ordinary least squares, while for the case of heteroscedastic noise the use of orthogonal distance regression or Margart's percent standard deviation is suggested. It was found that in case when experiments are repeated three times the simple method of weighted least squares performed as well as more complicated orthogonal distance regression method. PB - Hindawi Ltd, London T2 - Scientific World Journal T1 - A New Approach in Regression Analysis for Modeling Adsorption Isotherms DO - 10.1155/2014/930879 ER -
@article{ author = "Marković, Dana D. and Lekić, Branislava and Rajaković-Ognjanović, Vladana and Onjia, Antonije and Rajaković, Ljubinka V.", year = "2014", abstract = "Numerous regression approaches to isotherm parameters estimation appear in the literature. The real insight into the proper modeling pattern can be achieved only by testing methods on a very big number of cases. Experimentally, it cannot be done in a reasonable time, so the Monte Carlo simulation method was applied. The objective of this paper is to introduce and compare numerical approaches that involve different levels of knowledge about the noise structure of the analytical method used for initial and equilibrium concentration determination. Six levels of homoscedastic noise and five types of heteroscedastic noise precision models were considered. Performance of the methods was statistically evaluated based on median percentage error and mean absolute relative error in parameter estimates. The present study showed a clear distinction between two cases. When equilibrium experiments are performed only once, for the homoscedastic case, the winning error function is ordinary least squares, while for the case of heteroscedastic noise the use of orthogonal distance regression or Margart's percent standard deviation is suggested. It was found that in case when experiments are repeated three times the simple method of weighted least squares performed as well as more complicated orthogonal distance regression method.", publisher = "Hindawi Ltd, London", journal = "Scientific World Journal", title = "A New Approach in Regression Analysis for Modeling Adsorption Isotherms", doi = "10.1155/2014/930879" }
Marković, D. D., Lekić, B., Rajaković-Ognjanović, V., Onjia, A.,& Rajaković, L. V.. (2014). A New Approach in Regression Analysis for Modeling Adsorption Isotherms. in Scientific World Journal Hindawi Ltd, London.. https://doi.org/10.1155/2014/930879
Marković DD, Lekić B, Rajaković-Ognjanović V, Onjia A, Rajaković LV. A New Approach in Regression Analysis for Modeling Adsorption Isotherms. in Scientific World Journal. 2014;. doi:10.1155/2014/930879 .
Marković, Dana D., Lekić, Branislava, Rajaković-Ognjanović, Vladana, Onjia, Antonije, Rajaković, Ljubinka V., "A New Approach in Regression Analysis for Modeling Adsorption Isotherms" in Scientific World Journal (2014), https://doi.org/10.1155/2014/930879 . .