A0736
Title: Design for order-of-addition experiments with two level components
Authors: Hengzhen Huang - Guangxi Normal University (China) [presenting]
Abstract: The statistical design for order-of-addition (OofA) experiments has received much recent interest due to its potential to determine the optimal sequence of multiple components, such as the optimal sequence of drug administration for disease treatment. The traditional OofA experiments focus mainly on the sequence effects of components, i.e., the experimenters fix the factor level of each component and observe how the response is affected by varying the sequences of components. However, the components may also have factorial effects in that changing their factor levels in a given sequence can affect the response. In view of this, the design problem for OofA experiments is considered, where each component experiments at two levels. A systematic method is given to construct OofA designs that jointly consider the sequence design and factorial design for all components. By appropriately choosing the sequence design and defining relations for the factorial design, it is shown that the combination of the two parts results in a balanced design with an economical run size. Moreover, the constructed designs enjoy a number of optimality properties such as D-, A- and E-optimalities under some empirical models. The design method proposed can be extended to some other practical situations like the number of process variables is different from the number of components and OofA experiments with multi-level components.
