Component orthogonal arrays, as fractional designs of all possible permutations on experimental factors, are suitable for order-of-addition experiments due to their pairwise balance in any two positions of the orders. The existing component orthogonal arrays are mainly restricted to the case where the number of components is prime power. In this paper, we construct component orthogonal arrays with any number of components. The constructed design may have a number of appealing properties, for example, it may preserve pairwise balance after some components removed from the orders. In addition, a design selection strategy is provided to determine component orthogonal arrays with reasonable run sizes. Illustrative examples are given to demonstrate our methods.

分量正交数组作为实验因子上所有可能置换的分数设计，由于它们在阶次的任何两个位置成对平衡，因此适合于加法阶次实验。现有的分量正交阵列主要限于分量数是主功率的情况。在本文中，我们构造了具有任意数量分量的分量正交数组。构造的设计可能具有许多吸引人的属性，例如，在从订单中删除某些组件后，它可以保持成对的平衡。另外，提供了一种设计选择策略来确定具有合理游程尺寸的组件正交阵列。举例说明了我们的方法。