Factorial designs robust against the presence of an aberration

In this paper, designs, insensitive to the presence of an outlier for estimating a complete set of orthonormal treatment contrasts representing the factorial effects, are obtained for both complete and fractional factorial designs. Fractional factorials incorporated in blocks are also considered in this study. In case of blocked complete factorials, semi-regular group divisible designs and for fractional factorials, universally optimal plans are found to be robust.