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Title: A construction of cost-efficient designs with guaranteed repeated measurements on interaction effects Authors:  Frederick Kin Hing Phoa - Academia Sinica (Taiwan) [presenting]
Abstract: A useful class of cost-efficient designs is introduced for two-level multi-factor experiments. Guaranteed repeated measurements on all 2-tuples from any two factors are provided and the number of repetitions is adjusted by the experimenters. Given the number of factors of interest, less resources than an orthogonal array are utilized while its repeated measurement provided a resistance towards outliers that a covering array failed to achieve. To bridge the wide spectrum between two extreme settings (orthogonal arrays and covering arrays) in terms of the number of repeated measures of tuples, we developed a systematic method to construct families of these designs, namely (supersaturated) repeated coverage design, with small run sizes under different number of factors and number of repetitions.