NON-SEQUENTIAL DESIGNS FOR THE ESTIMATION OF PARAMETERS IN NON-LINEAR MODELS.
Technical rept. no. 28,
WISCONSIN UNIV MADISON
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It is supposed that the region in which experiments can be performed is virtually unlimited and no restraints need be applied. For this case designs are derived which give uncorrelated estimates for the parameters with the variances of these estimates proportional to some preselected constants. The optimal design is defined in terms of its moment matrix. It is then shown how a design having a particular moment matrix may be constructed. It is supposed that the investigator is only prepared to carry out experiments in a particular region which he defines by fixing measures of location and spread equal to some fixed values for each variable. An application is described of a method used for the actual construction of a design after the moment matrix has been determined.