| Summary: | 碩士 === 國立高雄師範大學 === 數學系 === 99 === There are many situations which need performing of split-plot designs. The experimenters consider the fractional factorial split-plot designs such as Box and Jones (1992), Haung, Chen, and Voelkel (1998), Bingham and Sitter (1999), Bisgaard (2000), Yang, Li, Liu, and Zhang (2006), and Jones (2009). In the fractional factorial split-plot designs, the two-factor interaction effects of whole-plot and sub-plot factors are as important as the whole-plot main effects and sub-plot main effects. Unfortunately, some situations just could run two whole-plot treatment combinations every time. Hence we block the whole-plot treatment combinations of the fractional factorial split-plot designs in the blocks of size two with the suitable BFo. We give the 8-run, 16-run, and 32-run designs which could estimate the most main effects and two-factor interaction effects of whole-plot and sub-plot factors and then combine two 8-run designs in order to estimate all main effects and all two-factor interaction effects of whole-plot and sub-plot factors in the section 2; some examples of 8-run, 16-run, and 32-run designs and combined designs are shown in section 3; conclusion is given in section 4 .
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