Roy's largest root is a common test statistic in multivariate analysis, statistical signal processing and allied fields. Despite its ubiquity, provision of accurate and tractable approximations to its distribution under the alternative has been a longstanding open problem. Assuming Gaussian observations and a rank-one alternative, or concentrated noncentrality, we derive simple yet accurate app...

A mathematical model to calculate the volume specific three-phase boundary length in the porous composite electrodes of solid-oxide fuel cell s presented. The model is exclusively based on geometrical considerations accounting for porosity, particle diameter, particle size distribution, nd solids phase distribution. Results are presented for uniform particle size distribution as well as for non...

In some natural events such as soil failure the deformations are localized in narrow restrictions, which are called shear bands. This event which is a fundamental phenomenon in granular material, has been widely investigated during recent decades within expensive experimental tests and also some numerical simulations. Most of previously used numerical methods are based on continuum theories des...

This experiment was conducted to evaluate the effects of single or multi-particle size limestone on the egg shell quality, egg production, egg quality and feed intake in laying hens. A total of 280 laying hens (ISA brown) were used in this 10-wk trial. Laying hens were randomly assigned to 4 treatments with 14 replications per treatment and 5 adjacent cages as a replication (hens were caged ind...

We present a new algorithm for computing the exact null distribution of the Spearman rank correlation statistic , which also works in the case of ties. The algorithm is based on symmetries in the representation of the probability generating function as a permanent with monomial entries. We present new critical values for sample sizes 19 n 22. Finally, we show how to derive the exact null distri...