When our purpose is to rank the factors by the size of their effects, estimation of the factor coefficients should be the criterion for selecting a design. Thus, the average or maximum VIF values would appear to be the best measure for selecting a screening design, in addition to the behavior of...

Robust parameter design, originally proposed by Taguchi [System of Experimental Design, vols. 1 and 2, UNIPUB, New York, 1987], is an off-line production technique for reducing variation and improving product's quality by using the product arrays. However, the use of the product arrays results...

Suppose a large number of two-level factors is examined in an experimental situation. Under the assumption of effect sparsity it is often anticipated that only a few experimental factors play an important role in the experiment. Usually, it is not known which columns of the experimental design...

Robust parameter design methodology was originally introduced by Taguchi [14] as an engineering methodology for quality improvement of products and processes. A robust design of a system is one in which two different types of factors are varied; control factors and noise factors. Control factors...

As an important class of space-filling designs, uniform designs (UDs) choose a set of points over a certain domain such that these points are uniformly scattered, under a specific discrepancy measure. They have been applied successfully in many industrial and scientific experiments since they...

Hadamard matrices have traditionally been used for screening main effects only, because of their complex aliasing structures. The hidden projection property, as introduced by Wang and Wu (Statistica Sinica 5 (1995) 235-250), suggests that complex aliasing allows some interactions to be...

Screening designs are useful for situations where a large number of factors (q) is examined but only few (k) of these are expected to be important. [Plackett and Burman 1946] designs and Hadamard matrices have traditionally been studied for this purpose. (Box, G.E.P., Tyssedal, J., 1996....