Abstract
Dept.of Applied Statistics, Konkuk Univ. Seoul, KoreaKey Words：Fractional Design, Orthogonal Array, Partially Balanc ed Array, Experiment-wise Error Rate, Multivariate Student distributionAbstractFor the construction of fractional factorial designs, the vario us arrays can be widely used. In this paper we review the statistical properties of fractional designs constru cted by two arrays such as orthogonal array and partially balanced array, and develop a quick and easy method for analyzing unreplicated saturated designs. The proposed method can be characterized that we control the er ror rate by experiment-wise way and exploit the multivariate Student distribution. Especially the proposed method can be used efficiently together with some exploratory analysis methods, such as half normal probabil ity plot method.
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