THE USE OF A CANONICAL FORM IN THE CONSTRUCTION OF LOCALLY OPTIMAL DESIGNS FOR NONLINEAR PROBLEMS

Optimal experimental designs for non-linear problems depend on the val ues of the underlying unknown parameters in the model. For various rea sons there is interest in providing explicit formulae for the optimal designs as a function of the unknown parameters. This paper shows that , for a certain class of generalized linear models, the problem can be reduced to a canonical form. This simplifies the underlying problem a nd designs are constructed for several contexts with a single variable using geometric and other arguments.