A sequential experimental design procedure for precise parameter estimation based upon the shape of the joint confidence region

Model discrimination and parameter estimation in heterogeneous catalysis

“…Juusola et al (1972) applied t is procedure to the design of experiments on o-xylene oxidation in a differential reactor. Hosten (1974) recently proposed a different criterion. Instead of minimizing the volume of the joint confidence volume associated with the estimates, he aimed at a more spherical shape for this confidence volume by influencing the length of the principal axes of the confidence hyperellipsoid, When both criteria were applied to the design of twenty-three experiments for the kinetic study of saccha- rose hydrolysis, it was found that the ultimate volume of the joint confidence region obtained with the minimum volume design was about 3.7 times smaller than with the 3 shape design.…”

Kinetic models analysis

“…In the literature, several strategies were proposed in order to improve parameter assessment and model discrimination (Box, 1949(Box, , 1971Box and Lucas, 1959;Box and Draper, 1965;Hunter and Reiner, 1965;Hunter, 1966, 1967a,b;Box and Hill, 1967;Froment and Mezaki, 1970;Fedorov, 1972;Hosten, 1974;Atkinson and Fedorov, 1975a,b;Froment, 1975;Hosten and Froment, 1976;Atkinson, 1978;Hill, 1978;Buzzi-Ferraris and Forzatti, 1983;Buzzi-Ferraris et al, 1984;Forzatti et al, 1987;Ponce de Leon and Atkinson, 1991;Buzzi-Ferraris, 1999). Some criteria require a linearization of the model in the neighborhood of the minimum point.…”

“…This method requires the matrix F n+1 factorization for each new point X n+1 and tries to minimize the maximum diameter of the confidence volume of parameters (Hosten, 1974).…”

Small Scale Laboratory Reactors

“…Statistical methods of experimental design have been developed e.g. [168] to [170] which allow the necessary amount of information to be gained from the minimum number of experiments. When experiments are conducted in a sequential manner, discrimination between rival kinetic models is possible [171]- [173].…”