Projection estimation capacity of Hadamard designs |
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Authors: | Yingfu Li ML Aggarwal |
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Institution: | 1. The University of Houston - Clear Lake, Houston, TX 77058, USA;2. The University of Memphis, USA |
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Abstract: | In a screening design, often only a few factors among a large number of potential factors are significantly important. Usually, it is not known which factors will be important ones. Thus, it is of practical interest to know if each projection of a design onto a small subset of factors is able to entertain and estimate all two-factor-interactions along with its main effects, assuming higher order interactions are negligible. In this paper, we investigate the estimation capacity of projections of Hadamard designs with run size up to 60. Possible applications of our results to robust parameter designs are also discussed. |
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Keywords: | Primary 62K15 secondary 05B20 |
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