In this paper, we show that the projection of a regular orthogonal array of strength t onto more than t factors consists of replicates of either a fractional factorial or a full factorial design of strength t, depending on the number of factors retained in the projection.

We propose an approach to constructing a new type of design, a sliced space-filling design, intended for computer experiments with qualitative and quantitative factors. The approach starts with constructing a Latin hypercube design based on a special orthogonal array for the quantitative factors and then partitions the design into groups corresponding to different level combinations of the qual...

An (r,λ)-design with mutually balanced nested subdesigns ( for brevity, (r,λ)-design with MBN ) is introduced firstly in this paper. It is shown that an (r,λ)design with MBN is equivalent to a balanced array of strength 2 with s symbols. By the use of a nested design and an orthogonal array, a construction of an (r,λ)design with MBN is given. A direct construction of such an (r,λ)-design, based...

In this study, the Taguchi method is used to find the optimal process parameters for an injection moulding machine that was used to produce a consumer product (plastic tray) from polypropylene (PP) plastic material. An orthogonal array (OA), main effect, signal-to-noise (S/N) ratio, and analysis of variance (ANOVA) were employed to investigate the bending characteristics of the tray under a con...

Carbon nanotube, a new structure of carbon element, is composed of graphene sheets rolled into closed concentric cylinders with diameter of the order of nanometers and length of micrometers. Liquid arc discharge was used for fabrication of carbon nanotubes, and subsequently a modified acid treatment method applied for purification stage. A statistical design of experimental (DOE) (Taguchi metho...

Consider a screening experiment for factors that may influence the properties of pulps prepared from woodchips by a variant of the kraft pulping process. The 10 factors in this experiment are (1) impregnation temperature (30”, 80”, or 12O”C), (2) chip steaming time (0 or 10 minutes), (3) initial concentration of alkali (6% or 12%) and (4) sulfide (2% or 10%) in the impregnation step, (5) impreg...

1. In poultry investigations, the main interest is often to study the effects of many factors simultaneously. Two or three level factorial designs are the most commonly used for this type of investigation. However, it is often too costly to perform when number of factors increase. So a fractional factorial design, which is a subset or a fraction of a full factorial design, is an alternative. Th...

carbon nanotube, a new structure of carbon element, is composed of graphene sheets rolled into closed concentric cylinders with diameter of the order of nanometers and length of micrometers. liquid arc discharge was used for fabrication of carbon nanotubes, and subsequently a modified acid treatment method applied for purification stage. a statistical design of experimental (doe) (taguchi metho...