Dispersion Effects from Fractional Factorials in Taguchi's Method of Quality Design
本文研究了在田口方法中，如何使用正交阵列设计来估计误差因子对控制因子离散效应的影响，并给出了确保估计无偏的充分条件，同时比较了不同设计的可靠性。
SUMMARY Taguchi proposed direct product designs for studying the influence of control factors on the dispersion introduced by error factors. The current paper presents several general results concerning the use of orthogonal array designs to estimate the effects of control factors on the dispersive effects of error factors. Sufficient conditions are given such that dispersion estimates are ‘undistorted’, in that they estimate the same quantity in fractional factorials as they would in complete factorials. The conditions concern the strength of the orthogonal array and the complexity of the linear model. Taguchi's designs are ‘reliable’ in that they prevent interactions among control factors from being mistaken for dispersion effects involving error effects. There are other reliable orthogonal array designs that are, in some ways, preferable to Taguchi's direct product designs in that they have greater strength or resolution with the same number of observations.