Testing on the Existence of Interaction Effects in $3^t$ Resolution IV Factorial Experiments

Resolution IV $3^t$요인실험법에서 교호작용 효과의 존재에 대한 검정 방법 연구

In analysis of resolution IV fractional factorial experiments, the main effects only are analyzed, even though we can get some useful information on the confounded 2-factor interactions. In this paper, we introduce an exploiting method of the confounded structure of interactions, especially for the near minimal resolution IV 3$^{t}$ fractional factorial designs developed by Anderson and Thomas (1979). Moreover, in this paper the application way of the proposed method is also discussed by analyzing some simulated data.