Assignment of Six-Level Factors to L<sub>36</sub> Orthogonal Array

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  • L<sub>36</sub>直交配列表に6水準因子を割り付ける方法
  • L36直交配列表に6水準因子を割り付ける方法
  • L36 チョッコウ ハイレツヒョウ ニ 6 スイジュン インシ オ ワリツケル ホウホウ

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This article gives the way to assign six-level factors to the L36 orthogonal array. Firstly, it is found that three six-level factors which are orthogonal to each other can be assigned. In the case of two six-level factors, two three-level factors can be also assigned additionally. Four three-level factors can be assigned with one six-level factor. Secondly, if we admit the least confounding between the assigned main effects, we can assign at most six six-level factors to L_<36>. At that time, all main effects are estimable by using regression model with dummy variables. The optimal design is determined based on D-optimal criterion. The way of assigning several six-level factors is shown by nearly orthogonal arrays. The remaining two-level columns are available for assignment of two-level factors in each case.

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