References
- Atkinson , A. C. and Donev , A. N. 1992 . Optimum Experimental Design Oxford : Clarendon Press .
- Atkinson , A. C. and Bogacka , B. 1997 . Compound D- and DS-optimum designs for determining the order of a chemical reaction . Technometrics , 39 : 347 – 356 .
- Bates , D. M. and Watts , D. G. 1980 . Relative curvature measures on non-linearity . J. R. Statist. Soc. Ser. B. , 40 : 1 – 25 .
- Beatty , D. A. and Piegorsch , W. W. 1997 . Optimal statistical design for toxicokinetic studies . Statist. Methods in Med. Res. , 6 : 359 – 376 .
- Bogacka , B. and Wright , F. J. Non-linear design problem in a chemical kinetic model with nonconstant error variance . J. Statist. Plann. Infer. , In press
- Box , G. E. P. 1971 . Bias in nonlinear estimation (with discussion) . J. R. Statist. Soc. Ser. B. , 33 : 171 – 201 .
- Clarke , G. P. Y. 1980 . Moments of the least squares estimators in a non-linear model . J. R. Statist. Soc. Ser. B. , 42 : 227 – 237 .
- Clyde , M. and Chaloner , K. 2002 . Constrained design strategies for improving normal approximations in nonlinear regression problems . J. Statist. Plann. Infer. , 104 : 175 – 196 .
- Fedorov , V. V. 1972 . Theory of Optimal Experiments New York : Academic Press .
- Hamilton , D. C. and Watts , D. G. 1985 . A quadratic design criterion for precise estimation in nonlinear regression models . Technometrics , 27 : 241 – 250 .
- Jones , B. and Wang , J. 1999 . Constructing optimal designs for fitting pharmacokinetic models . Statist. Comput. , 9 : 209 – 218 .
- Kiefer , J. and Wolfowitz , J. 1960 . The equivalence of two extremum problems . Can. J. Math. , 12 : 363 – 366 .
- Lindsey , J. K. 2001 . Nonlinear Models in Medical Statistics New York : Oxford University Press Inc .
- Merlé , Y. and Tod , M. 2001 . Impact of pharmacokinetic-pharmacodynamic model linearization on the accuracy of population information matrix and optimal design . J. Pharamcokinet. Pharmakodynam. , 28 : 363 – 388 .
- Nelder , J. A. and Mead , R. 1965 . A simplex method for function minimization . Comput. J. , 7 : 308 – 313 .
- O'Brien , T. E. 1992 . A note on quadratic designs for nonlinear regression models . Biometrika , 79 : 847 – 849 .
- Pazman , A. and Pronzato , L. 1992 . Nonlinear experimental design based on the distribution of estimators . J. Statist. Plann. Infer. , 33 : 385 – 402 .
- Pukelsheim , F. 1993 . Optimal Design of Experiments New York : Wiley .
- Press , W. H. , Flannery , B. P. , Teukolsky , S. A. and Vetterling , W. T. 1987 . Numerical Recipes: The Art of Scientific Computing Cambridge : Cambridge University Press .
- Rao , C. R. 1973 . Linear Statistical Inference and Its Applications New York
- Seber , G. A. F. and Wild , C. J. 1989 . Nonlinear Regression New York : Wiley .
- Wald , A. 1943 . On the efficient design of statistical investigation . Ann. Math. Statist. , 14 : 134 – 140 .
- Wright , F. J. 2001 . Computing with Maple Chapman & Hall/CRC Press .