Arbeitspapier
Optimal design for goodness-of-fit of the Michaelis-Menten enzyme kinetic function
We construct efficient designs for the Michaelis-Menten enzyme kinetic model capable of checking model assumption. An extended model, called EMAX model is also considered for this purpose. This model is widely used in pharmacokinetics and reduces to the Michaelis- Menten model for a specific choice of the parameter setting. Our strategy is to find efficient designs for estimating the parameters in the EMAX model and at the same time test the validity of the Michaelis-Menten model against the EMAX model by maximizing a minimum of the D- or D1-efficiencies taken over a range of values for the nonlinear parameters. In addition, we show that the designs obtained from maximizing the D-efficiencies are (i) efficient for estimating parameters in the EMAX model or the Michaelis-Menten model, (ii) efficient for testing the Michaelis-Menten model against the EMAX model and (iii) robust with respect to misspecification of the unknown parameters.
- Language
-
Englisch
- Bibliographic citation
-
Series: Technical Report ; No. 2004,24
- Subject
-
Chebyshev polynomials
EMAX model
goodness of fit test
locally D-optimal design
robust optimal design
Statistischer Test
Theorie
- Event
-
Geistige Schöpfung
- (who)
-
Wong, Weng Kee
Melas, Viatcheslav B.
Dette, Holger
- Event
-
Veröffentlichung
- (who)
-
Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
- (where)
-
Dortmund
- (when)
-
2004
- Handle
- Last update
-
10.03.2025, 11:44 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Wong, Weng Kee
- Melas, Viatcheslav B.
- Dette, Holger
- Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
Time of origin
- 2004
Other Objects (12)
A martingale-transform goodness-of-fit test for the form of the conditional variance
Robust and efficient designs for the Michaelis-Menten model
Goodness-of-fit tests for multiplicativemodels with dependent data
Robustness of optimal designs for the Michaelis-Menten model under a variation of criteria
Strong approximation of eigenvalues of large dimensional Wishart matrices by roots of generalized Laguerre polynomials
Estimation of integrated volatility in continuous time financial models with applications to goodness-of-fit testing
Standardized maximin E-optimal designs for the Michaelis Menten model
Pivotal goodness-of-fit measures in functional data analysis
Optimal Design for Goodness-of-fit of the Michaelis-Menten Enzyme Kinetic Function
On robust and efficient designs for risk estimation in epidemiologic studies
Canonical moments, orthogonal polynomials with application to statistics
Some methodological aspects of validation of models in nonparametric regression
A martingale-transform goodness-of-fit test for the form of the conditional variance
Robust and efficient designs for the Michaelis-Menten model
Goodness-of-fit tests for multiplicativemodels with dependent data
Robustness of optimal designs for the Michaelis-Menten model under a variation of criteria
Strong approximation of eigenvalues of large dimensional Wishart matrices by roots of generalized Laguerre polynomials
Estimation of integrated volatility in continuous time financial models with applications to goodness-of-fit testing
Standardized maximin E-optimal designs for the Michaelis Menten model
Pivotal goodness-of-fit measures in functional data analysis
Optimal Design for Goodness-of-fit of the Michaelis-Menten Enzyme Kinetic Function
On robust and efficient designs for risk estimation in epidemiologic studies
Canonical moments, orthogonal polynomials with application to statistics
Some methodological aspects of validation of models in nonparametric regression
A martingale-transform goodness-of-fit test for the form of the conditional variance
Robust and efficient designs for the Michaelis-Menten model
Goodness-of-fit tests for multiplicativemodels with dependent data
Robustness of optimal designs for the Michaelis-Menten model under a variation of criteria
Strong approximation of eigenvalues of large dimensional Wishart matrices by roots of generalized Laguerre polynomials
Estimation of integrated volatility in continuous time financial models with applications to goodness-of-fit testing
Standardized maximin E-optimal designs for the Michaelis Menten model
Pivotal goodness-of-fit measures in functional data analysis
Optimal Design for Goodness-of-fit of the Michaelis-Menten Enzyme Kinetic Function
On robust and efficient designs for risk estimation in epidemiologic studies
Canonical moments, orthogonal polynomials with application to statistics