Update formulas for split-plot and block designs

For the algorithmic construction of optimal experimental designs, it is important to be able to evaluate small modi_cations of given designs in terms of the optimality criteria at a low computational cost. In this article, we propose update formulas for evaluating the impact of changes to the levels of easy-to-change factors and hard-to-change factors in split-plot designs as well as the impact of a swap of points between blocks or whole plots in block designs or split-plot designs.