Summary: Due to run-size constraints some experimental situations cannot be approached using orthogonal-array design. Near-orthogonal arrays can, however, often be used. This article describes a quick and simple method of constructing this type of array. The arrays constructed here are typically better than those of J. C. Wang and C. F. J. Wu [ibid. 39, 409-422 (1992)] with respect to \(D\) efficiency as well as other design-goodness criteria.