A new nonparametric test for two sample problem based on order statistics is suggested. This test can be successful in the case of small samples. The probabilities of the statistic are given. Comparisons with KolmogorovSmirnov, Mann Whitney-Wilcoxon, and Wilks’ empty block test for small sample sizes are made by the simulation.

Two-loop Gell-Mann–Low function of N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives. Abstract Two-loop Gell-Mann–Low function is calculated for N=1 supersymmetric Yang– Mills theory, regularized by higher covariant derivatives. The integrals, which define it, are shown to be reduced to total derivatives and can be easily calculated analytically .

Design, trademark and patent are the intellectual properties that influence each other and become the core assets and ultimate commercial weapons of the companies. In this study, we researched the designs, trademarks and patents of Nike in depth. The secret of Nike brands are built up on the high technology. Nike also had very successful brands in the apparel and footwear industry. In 2006, Int...

A stratification of a set, e.g. an analytic variety, is, roughly, a partition of it into manifolds so that these manifolds fit together “regularly”. Stratification theory was originated by Thom and Whitney for algebraic and analytic sets. It was one of the key ingredients in Mather’s proof of the topological stability theorem [Ma] (see [GM] and [PW] for the history and further applications of s...

BACKGROUND Research suggests that participants do not always adequately understand studies. While some consent interventions increase understanding, methodologic challenges have been raised in studying consent outside of actual trial settings. This study examined the feasibility of testing two consent interventions in actual studies and measured effectiveness of interventions in improving under...

In a mathematical approach to hypothesis tests, we start with a clearly defined set of hypotheses and choose the test with the best properties for those hypotheses. In practice, we often start with less precise hypotheses. For example, often a researcher wants to know which of two groups generally has the larger responses, and either a t-test or a Wilcoxon-Mann-Whitney (WMW) test could be accep...

Let {X1, . . . , Xm} and {Y1, . . . , Yn} be two samples independent of each other, but the random variables within each sample are stationary associated with one dimensional marginal distribution functions F and G, respectively. We study the properties of the classical WilcoxonMann-Whitney statistic for testing for stochastic dominance in the above set up.

there are some barriers for rangers to take part in range plan projects andevaluation. their participation is very useful for range managers to plan and provide solutionsfor solving problems. this study aims at comparing barriers of participating from rangers andexperts point of view in lar moor rangelands, tehran, iran. in this research, data werecollected based on documentation-library and fi...

This paper describes the use of a microsphere sensor technology that allows simple fabrication of vapor sensor arrays with reproducible response patterns. Microsphere sensor fabrication protocols are uncomplicated and yield billions of highly reproducible sensors. Microsphere sensor arrays combined with a generalized Whitney-Mann-Wilcoxen (GWMW) classifier were used to discriminate between the ...