Abstract
In constructing two-level fractional factorial designs, the so-called doubling method has been employed. In this paper, we study the problem of uniformity in double designs. The centered L 2-discrepancy is employed as a measure of uniformity. We derive results connecting the centered L 2-discrepancy value of D(X) and generalized wordlength pattern of X, which show the uniformity relationship between D(X) and X. In addition, we also obtain lower bounds of centered L 2-discrepancy value of D(X), which can be used to assess uniformity of D(X).
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Supported by the National Natural Science Foundation of China (11271147) and SRFDP (20090144110002).
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Lei, Yj., Qin, H. Uniformity in double designs. Acta Math. Appl. Sin. Engl. Ser. 30, 773–780 (2014). https://doi.org/10.1007/s10255-014-0419-3
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DOI: https://doi.org/10.1007/s10255-014-0419-3