| Summary: | 碩士 === 國立高雄師範大學 === 數學系 === 94 === After finishing an experiment, the experimenter will analyze the result, and choose the follow-up experiment in order to estimate more clear effects. One of the methods which construct the follow-up experiment is called foldover. It can systematically isolate effects of potential interest by combining fractional factorial designs in which certain signs are switched. Sometimes it is wasteful if the experimenter concerns the experimental run numbers. Hence, we can consider another method named semifolding, a quarter replicate of the original design. In some conditions, the method of semifolding of 2^{k-p} fractional factorial design can estimate the same effects as the foldover design does. We will dicuss these situations, and then search the optimal semifolding designs produced by exhausting all possible semifolding designs of the fractional factorial designs, and tabulate the results of the 16-run and 32-run case for practical use in this article.
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