D-optimal Design for Polynomial Regression: Choice of Degree and Robustness

In this paper we show that for the D-optimal design, departures from the design are much less important than a departure from the model. As a consequence, we propose, based on D-optimality, a rule for choosing the regression degree.

We also study different types of departures from the model to define a new class of D-optimal designs, which is robust and more efficient than the uniform one.