Optimal designs for small Poisson regression experiments using second-order asymptotic

Optimal designs for regression models using the second-order least squares estimator

We investigate properties and numerical algorithms for Aand D-optimal regression designs based on the second-order least squares estimator (SLSE). Several theoretical results are derived, including an innovative expression to characterize the A-optimality criterion. We can formulate the optimal design problems under SLSE as semidefinite programming or convex optimization problems and show that ...

Robust Designs for Poisson Regression Models

We consider the problem of how to construct robust designs for Poisson regression models. An analytical expression is derived for robust designs for first-order Poisson regression models where uncertainty exists in the prior parameter estimates. Given certain constraints in the methodology, it may be necessary to extend the robust designs for implementation in practical experiments. With these ...

Jj -OPTIMAL SECOND ORDER DESIGNS FOR SYMMETRIC REGIONS

Computing Optimal Designs of multiresponse Experiments reduces to Second-Order Cone Programming

Elfving’s Theorem is a major result in the theory of optimal experimental design, which gives a geometrical characterization of c−optimality. In this paper, we extend this theorem to the case of multiresponse experiments, and we show that when the number of experiments is finite, the c−, A−, T− and D−optimal design of multiresponse experiments can be computed by Second-Order Cone Programming (S...

Optimal designs for conjoint experiments

In conjoint experiments, each respondent receives a set of profiles to rate. Sometimes, the profiles are expensive prototypes that respondents have to test before rating them. Designing these experiments involves determining how many and which profiles each respondent has to rate and how many respondents are needed. To that end, the set of profiles offered to a respondent is treated as a separa...