1 - 9 of 9 Chapters
[This chapter defines the Nonlinear Experimental Design problem and traces its evolution. It is emphasized that the (continuous) Design Theory started with a Non-linear problem.]
[The appropriate notation is introduced linking the Mathematical problem with the Experimentation. The linearization of the underlying model and Fisher’s information is discussed and examples are discussed.]
[The locally optical design is discussed and the alphabetic optimal designs are introduced, and the Geometrical insight is discussed. The canonical form for a binary response problem is introduced, and its “affine” character is discussed.]
[This chapter defines the Static design and various approaches are discussed. A number of applications from Chemical Kinetics are provided.]
[The Sequential Principle of design is adopted as the point estimation method and the theoretical insight is discussed, in a compact way. The Stochastic Approximation iterative scheme is discussed as a particular case.]
[The problem of the approximate confidence regions is discussed, under the light of the introduced measures of nonlinearity. The first order autoregressive model and Michaelis–Menten are discussed as particular cases.]
[The dilution assessment and the first order growth model are Extensively discussed, through two simulation studies. Various Strategies to tackle the problems were adopted and compared.]
[The “cosinor” model is introduced and the various optimal design for this model are discussed. The application of this model either to Bio-assays, as Rythmometry, or to Engineering is explained.]
[An extensive discussion of the provided methodology and applications is provided, to help the reader to realize the importance of this particular field and encourage him to adopt it in practice.]
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