Exact n-point designs are given which are D-optimum for a simple multiresponse model, where the individual response variables can be represented by first-order and second-order models. The present results complement recent findings by Krafft and Schaefer, who obtained D-optimum n-point designs...

Mixture experiments usually involve various constraints on the proportions of the ingredients of the mixture under study. In this paper, inspired by the fact that the available stock of certain ingredients is often limited, we focus on a new type of constraint, which we refer to as an ingredient...

Consumer products and services can often be described as mixtures of ingredients. Examples are the mixture of ingredients in a cocktail and the mixture of different components of waiting time (e.g., in-vehicle and out-of-vehicle travel time) in a transportation setting. Choice experiments may...

In mixture experiments, optimal designs for the estimation of parameters, both linear and non-linear, have been discussed by several authors. In this paper, we attempt to find the optimum designs for testing the presence of synergistic effects in a mixture model using the maximin criterion.

In the analysis of experiments with mixture, quadratic models have been widely used. Several authors considered finding optimum designs for the estimation of the parameters of the model. The optimum designs for the estimation of optimum mixing proportions in Scheffé’s quadratic mixture model...

We consider nested multiple response models which are used extensively in the area of pharmacometrics. Given the conditional nature of such models, differences in predicted responses are a consequence of different assumptions about how the models interact. As such, sequential versus simultaneous...

The aim of this paper is to derive methodology for designing 'time to event' type experiments. In comparison to estimation, design aspects of 'time to event' experiments have received relatively little attention. We show that gains in efficiency of estimators of parameters and use of...

Gompertz functions have been widely used in characterizing biological growth curves. In this paper we consider D-optimal designs for Gompertz regression models. For homoscedastic Gompertz regression models with two or three parameters, we prove that D-optimal designs are minimally supported....