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Volumn 128, Issue 2, 2005, Pages 633-648

Non-linear design problem in a chemical kinetic model with non-constant error variance

Author keywords

D optimum design; Non linear regression model; Rate constant; Reaction order

Indexed keywords


EID: 8644247589     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2003.12.010     Document Type: Article
Times cited : (4)

References (26)
  • 1
    • 0038379790 scopus 로고    scopus 로고
    • Horwitz's rule, transforming both sides and the design of experiments for mechanistic models
    • Atkinson A.C. Horwitz's rule, transforming both sides and the design of experiments for mechanistic models J. Roy. Statist. Soc. Ser. C, Applied Statistics 52 3 2003 261-278
    • (2003) J. Roy. Statist. Soc. Ser. C, Applied Statistics , vol.52 , Issue.3 , pp. 261-278
    • Atkinson, A.C.1
  • 2
    • 0031270537 scopus 로고    scopus 로고
    • S-optimum designs for determining the order of a chemical reaction
    • S-optimum designs for determining the order of a chemical reaction Technometrics 39 1997 347-356
    • (1997) Technometrics , vol.39 , pp. 347-356
    • Atkinson, A.C.1    Bogacka, B.2
  • 4
    • 0000685376 scopus 로고    scopus 로고
    • Designs for nonlinear and generalized linear models
    • Ghosh, S., Rao, C.R. (Eds.) Elsevier, Amsterdam
    • Atkinson, A.C., Haines, L.M., 1996. Designs for nonlinear and generalized linear models. In: Ghosh, S., Rao, C.R. (Eds.), Handbook of Statistics, Vol. 13, Elsevier, Amsterdam, pp. 437-475.
    • (1996) Handbook of Statistics , vol.13 , pp. 437-475
    • Atkinson, A.C.1    Haines, L.M.2
  • 5
    • 0032575963 scopus 로고    scopus 로고
    • D- and T-optimum designs for the kinetics of a reversible chemical reaction
    • Atkinson A.C. Bogacka B. Bogacki M.B. D- and T-optimum designs for the kinetics of a reversible chemical reaction Chemometr. Intell. Lab. Syst. 43 1998 185-198
    • (1998) Chemometr. Intell. Lab. Syst. , vol.43 , pp. 185-198
    • Atkinson, A.C.1    Bogacka, B.2    Bogacki, M.B.3
  • 6
    • 0002419565 scopus 로고
    • Design of experiments in non-linear situations
    • Box G.E.P. Lucas H.L. Design of experiments in non-linear situations Biometrika 46 1959 77-90
    • (1959) Biometrika , vol.46 , pp. 77-90
    • Box, G.E.P.1    Lucas, H.L.2
  • 7
    • 0001653224 scopus 로고
    • Locally optimal designs for estimating parameters
    • Chernoff H. Locally optimal designs for estimating parameters Ann. Math. Statist. 24 1953 586-602
    • (1953) Ann. Math. Statist. , vol.24 , pp. 586-602
    • Chernoff, H.1
  • 8
    • 0036568358 scopus 로고    scopus 로고
    • Constrained design strategies for improving normal approximations in nonlinear regression problems
    • Clyde M. Chaloner K. Constrained design strategies for improving normal approximations in nonlinear regression problems J. Statist. Plann. Inference 104 2002 175-196
    • (2002) J. Statist. Plann. Inference , vol.104 , pp. 175-196
    • Clyde, M.1    Chaloner, K.2
  • 12
  • 13
    • 0000251072 scopus 로고
    • The use of a canonical form in the construction of locally optimal designs for non-linear problems
    • Ford I. Torsney B. Wu C.F.J. The use of a canonical form in the construction of locally optimal designs for non-linear problems J. Roy. Statist. Soc. Ser. B 54 1992 569-583
    • (1992) J. Roy. Statist. Soc. Ser. B , vol.54 , pp. 569-583
    • Ford, I.1    Torsney, B.2    Wu, C.F.J.3
  • 14
    • 0038578418 scopus 로고    scopus 로고
    • D- and c-optimal designs for exponential regression models used in viral dynamics and other applications
    • Han C. Chaloner K. D- and c-optimal designs for exponential regression models used in viral dynamics and other applications J. Statist. Plann. Inference 115 2003 585-601
    • (2003) J. Statist. Plann. Inference , vol.115 , pp. 585-601
    • Han, C.1    Chaloner, K.2
  • 15
    • 0001112787 scopus 로고
    • The equivalence of two extremum problems
    • Kiefer J. Wolfowitz J. The equivalence of two extremum problems Canad. J. Math. 12 1960 363-366
    • (1960) Canad. J. Math. , vol.12 , pp. 363-366
    • Kiefer, J.1    Wolfowitz, J.2
  • 16
    • 0002372362 scopus 로고
    • On the support points of D-optimal nonlinear experimental designs for chemical kinetics
    • Kitsos, C.P., Müller, W.G. (Eds.) Proceedings of the Fourth International Workshop, June 5-9, Spetses, Greece, Springer, New York
    • Kitsos, C.P., 1995. On the support points of D-optimal nonlinear experimental designs for chemical kinetics. In: Kitsos, C.P., Müller, W.G. (Eds.), MODA4-Advances in Model-Oriented Data Analysis, Proceedings of the Fourth International Workshop, June 5-9, Spetses, Greece, Springer, New York.
    • (1995) MODA4-Advances in Model-Oriented Data Analysis
    • Kitsos, C.P.1
  • 17
    • 8644284764 scopus 로고    scopus 로고
    • Maplesoft, a division of Waterloo Maple Inc Maple is a trademark of Waterloo Maple Inc., Waterloo, Ontario
    • Maplesoft, a division of Waterloo Maple Inc. Maple is a trademark of Waterloo Maple Inc., Waterloo, Ontario (http://www.maplesoft.com)
  • 18
    • 0030587973 scopus 로고    scopus 로고
    • A nonsequential design procedure for parameter estimation and model discrimination in nonlinear regression models
    • O'Brien T.E. Rawlings J.O. A nonsequential design procedure for parameter estimation and model discrimination in nonlinear regression models J. Statist. Plann. Inference 55 1996 77-93
    • (1996) J. Statist. Plann. Inference , vol.55 , pp. 77-93
    • O'Brien, T.E.1    Rawlings, J.O.2
  • 20
    • 0017545308 scopus 로고
    • Guidelines for the optimal design of experiments to estimate parameters in first order kinetic models
    • Reilly P.M. Bajramovic R. Blau G.E. Branson D.R. Sauerhoff M.W. Guidelines for the optimal design of experiments to estimate parameters in first order kinetic models Canad. J. Chem. Eng. 55 1977 614-622
    • (1977) Canad. J. Chem. Eng. , vol.55 , pp. 614-622
    • Reilly, P.M.1    Bajramovic, R.2    Blau, G.E.3    Branson, D.R.4    Sauerhoff, M.W.5
  • 23
    • 0013097818 scopus 로고
    • On the efficient design of statistical investigation
    • Wald A. On the efficient design of statistical investigation Ann. Math. Statist. 14 1943 134-140
    • (1943) Ann. Math. Statist. , vol.14 , pp. 134-140
    • Wald, A.1
  • 24
    • 0005381609 scopus 로고    scopus 로고
    • Boca Raton, FL: Chapman & Hall, London, CRC Press
    • Wright F.J. Computing with Maple 2001 Chapman & Hall, London, CRC Press Boca Raton, FL
    • (2001) Computing With Maple
    • Wright, F.J.1
  • 25
    • 8644283460 scopus 로고    scopus 로고
    • Maple worksheets available via the web site at
    • Wright, F.J., Bogacka, B., 2003. Maple worksheets available via the web site at http://centaur.maths.qmul.ac.uk/BW/
    • (2003)
    • Wright, F.J.1    Bogacka, B.2
  • 26
    • 0034684047 scopus 로고    scopus 로고
    • The effects of different experimental designs on parameter estimation in the kinetics of a reversible chemical reaction
    • Xu Q.-S. Liang Y.-Z. Fang K.T. The effects of different experimental designs on parameter estimation in the kinetics of a reversible chemical reaction Chemometr. Intell. Lab. Systems 52 2000 155-166
    • (2000) Chemometr. Intell. Lab. Systems , vol.52 , pp. 155-166
    • Xu, Q.-S.1    Liang, Y.-Z.2    Fang, K.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.