A Sequential Design for Optimal

When the models are nonlinear in the parameters, Xis replaced by J. An example of application of sequential design for optimal estimation is given by Van Parijs et al. [1986] in their study of benzothiophene hydrogenolysis. At 533 K the desired accuracy of the parameters of the equations given in Example 2.6.4.A was reached after four more experiments beyond the seven required for discriminating between the 16 rival models. In total, no more than 16 experiments were required for the four temperature levels that were investigated. 

SEQUENTIAL DESIGN FOR OPTIMAL PARAMETER ESTIMATION IN BENZOTHIOPHENE HYDROGENOLYSIS 

The benzothiophene hydrogenolysis, accompanied by hydrogenation was already dealt with in Example 2.6.4.A in which the rate equations (a) through (c) were 

Note that aU the designed experiments are located on the borders of the experimental space, a typical feature of sequential design. 

The steps involved in sequential experimental design for optimal discrimination and estimation can be represented in a simplified flow diagram as shown in Fig. 2.8-1. The loops can even be closed so that the settings of the independent variables are implemented on the experimental setup directly by the computer. 

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Example 2.7.2.2.A Sequential Design for Optimal Parameter Estimation in Benzothiophene Hydrogenolysis... 

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