Multi-Optimal Designs for Second-Order Response Surface Models

A Measure of Rotatability for Second Order Response Surface Designs

Jj -OPTIMAL SECOND ORDER DESIGNS FOR SYMMETRIC REGIONS

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 ...

Optimal designs for dose-response models with restricted design spaces

In dose response studies, the dose range is often restricted due to concerns over drug toxicity and/or efficacy. We present restricted and unrestricted interval locally optimal designs with respect to a very general class of optimality criteria for estimating the underlying dose response curve. The underlying curve belongs to a diversified set of link functions suitable for the dose response st...

Optimal Adaptive Designs for Delayed Response Models: Exponential Case

We propose a delayed response model for a Bernoulli 2armed bandit. Patients arrive according to a Poisson process and their response times are exponential. We develop optimal solutions, and compare to previously suggested designs.