A new method of finding component orthogonal arrays for order-of-addition experiments

The order-of-addition experiments aim at determining the optimal order of m components such that the yields are optimized. The component orthogonal array (COA) allows to economically find out the optimal order by testing some carefully selected orders from all of the m ! orders. This paper proposes a new method of finding COAs of broader run sizes. As an application of the new method, some COAs with 4, 5 and 6 components are tabulated. The D -efficiencies of the COAs found by the new method are investigated under the pair-wise ordering model.