Abstract
Discrete discrepancy has been utilized as a uniformity measure for comparing and evaluating factorial designs. In this paper, for asymmetrical factorials, we give some linkages between uniformity measured by the discrete discrepancy and other criteria, such as generalized minimum aberration (Xu and Wu, 2001) and minimum projection variance (Ai and Zhang, 2004). These close linkages show a significant justification for the discrete discrepancy used to measure uniformity of factorial designs, and provide an additional rationale for using uniform designs.
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This research was partially supported by the NNSF of China (No. 10441001), the Key Project of Chinese Ministry of Education (No. 105119) and the Project-sponsored by SRF for ROCS (SEM) (No. [2004]176).
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Qin, H., Ai, M. A note on the connection between uniformity and generalized minimum aberration. Statistical Papers 48, 491–502 (2007). https://doi.org/10.1007/s00362-006-0350-7
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DOI: https://doi.org/10.1007/s00362-006-0350-7