On the robustness of the optimum balanced 2m factorial designs of resolution v (given by Srivastava and Chopra) in the presence of outliers

Robust Planning and Analysis of Experiments

“…An interesting question is also whether optimal designs for outlier robust analysis can be used for outlier detection. There exists a rich literature on detecting outliers and influential points (see for example Box and Draper (1975), Cook and Weisberg (1982), Atkinson (1982Atkinson ( , 1985Atkinson ( , 1988b, Ghosh and Kipngeno (1985), Rousseeuw and Leroy (1987), Chatterjee and Hadi (1988), Wu and Luo (1993), McKean et al (1993McKean et al ( , 1994». But the most approaches deal with the influential points of designs, if the least squares estimator is used, or with the detection properties of special estimators without considering different design constellations.…”

On the robustness of balanced fractional 2m factorial designs of resolution 2l+1 in the presence of outliers

“…Recently, Ghosh and Kipngeno [8] have defined the outlier-insensitivity factor, E, say, by Minimization of V(d) is equivalent to minimization of r, when N and ,~ are both fixed.…”