Modern experiments allow scientists to tackle scientific problems of increasing complexity. Often are characterised by factors that have levels which harder set than others. A possible solution is the use a split-plot design. Many solutions available in literature find optimal designs focus solely on optimising single criterion. Multi-criteria approaches been developed overcome limitations one-...

T HIS provocative remark has been attributed to the famous industrial statistician, Cuthbert Daniel, by Box et al. (2005) in their well-known text on the design of experiments. Split-Plot experiments were invented by Fisher (1925) and their importance in industrial experimentation has been long recognized (Yates (1936)). It is also well known that many industrial experiments are fielded as spli...

Split-plot experiments are appropriate when some factors are more difficult and/or expensive to change than others. They require two levels of randomization resulting in a non-independent error structure. The design of such experiments has garnered much recent attention, including work on exact D-optimal split-plot designs. However, many of these procedures rely on the a priori assumption that ...

In this article we investigate two-level split-plot designs where the sub-plots consist of only two mirror image trials. Assuming third and higher order interactions negligible, we show that these designs divide the estimated effects into two orthogonal sub-spaces, separating sub-plot main effects and sub-plot by whole-plot interactions from the rest. Further we show how to construct split-plot...

Many industrial experiments involve some factors whose levels are harder to set than others. The best way to deal with these is to plan the experiment carefully as a split-plot, or more generally a multi-stratum, design. Several different approaches for constructing splitplot type response surface designs have been proposed in the literature since 2001, which has allowed experimenters to make b...

determination of the relationships between soil and plant cover indispensible in the in planning and managementof the arid regions, the aim being to revitalize plant cover, conserve soil and to combat desertification. among factorsaffecting plant cover, particularly in arid and semiarid areas are soil traits. during the present study, the effect ofhaloxylon aphyllum cultivation on soil physioch...

Many industrial experiments involve restricted rather than complete randomization. This often leads to the use of split-plot designs, which limit the number of independent settings of some of the experimental factors. These factors, named whole-plot factors, are often, in some way, hard to change. The remaining factors, called sub-plot factors, are easier to change. Their levels are therefore i...

Regular two-level fractional factorial designs are often used in industrial experiments as screening experiments. When some factors have levels which are hard or expensive to change, restrictions are often placed on the order in which runs can be performed, resulting in a split-plot factorial design. In these cases, the hard or expensive to change factors are applied to whole plots, whereas the...