In this paper we examine all the combinatorial non-isomorphic OA(27, q, 3, t), with 3≤q≤13 three level quantitative factors, with respect to model identification, estimation capacity and efficiency. We use the popular D-efficiency criterion to evaluate the ability of each design considered...

Orthogonally blocked experimental designs for mixtures of five ingredients, formed from Latin squares, were previously discussed by Prescott et al. Here, we extend this development by studying the properties of three classes of possible designs, with recommendations on their practical...

Robust parameter design, originally proposed by Taguchi [System of Experimental Design, Vols. I and II, UNIPUB, New York, 1987], is an offline production technique for reducing variation and improving a product's quality by using product arrays. However, the use of the product arrays results in...

The analysis of designs based on saturated orthogonal arrays poses a very difficult challenge since there are no degrees of freedom left to estimate the error variance. In this paper we propose a heuristic approach for the use of cumulative sum control chart for screening active effects in...

Unreplicated factorial designs pose a difficult problem in analysis because there are no degrees of freedom left to estimate the error. Daniel [Technometrics 1 (1959), pp. 311-341] proposed an ingenious graphical method that does not require σ to be estimated. Here we try to put Daniel's method...

When we want to compare two designs we usually assume the standard linear model with uncorrelated observations. In this paper we use the comparison method proposed by Ghosh & Shen (2006) to compare three level orthogonal arrays with 18, 27 and 36 runs under a possible presence of correlation in...

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...

Variable and model selection problems are fundamental to high-dimensional statistical modeling in diverse fields of sciences. Especially in health studies, many potential factors are usually introduced to determine an outcome variable. This paper deals with the problem of high-dimensional...

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...