The Wilcoxon-Mann-Whitney statistic is commonly used for a distribution-free comparison of two groups. One requirement for its use is that the sample sizes of the two groups are fixed. This is violated in some of the applications such as medical imaging studies and diagnostic marker studies; in the former, the violation occurs since the number of correctly localized abnormal images is random, w...

In this paper we show Whitney’s fibering conjecture in the real and complex, local analytic and global algebraic cases. For a given germ of complex or real analytic set, we show the existence of a stratification satisfying a strong (real arc-analytic with respect to all variables and analytic with respect to the parameter space) trivialization property along each stratum. We call such a trivial...

There are so many excellent review papers describing the principles of C o m p t o n spectrometry that they may be considered almost as a bible for anyone wishing to work in this field. Here I want to quote the book edited by Williams [1], papers by Coope r [2 -4 ] and more recent papers of Mann inen [5] and Sharma [6]. The use of circularly polarized synchrot ron radiat ion to so-called magnet...

We show the combinatorics behind the Wilcoxon-Mann-Whitney two-sample test. This yields new combinatorial proofs of recurrences for its null distribution given recently by Brus and Chang, as well as new recurrences. It is shown how to convert these recurrences into generating functions. These generating functions are used to obtain closed expressions for the null distribution when one of the sa...

The authors present an improved ranked set two-sample Mann-Whitney-Wilcoxon test for a location shift between samples from two distributions F and G. They define a function that measures the amount of information provided by each observation from the two samples, given the actual joint ranking of all the units in a set. This information function is used as a guide for improving the Pitman effic...

In CBIR system, relevance feedback is used to improve the retrieval performance. In this paper, a new MannWhitney test based method is presented to identify the features which can distinguish relevant and irrelevant images in a retrieved set. Then the discriminating features are given more emphasis to improve retrieval performance. Proposed scheme is implemented for two different similarity mea...

“Supplementary Figure 1. Effect of activity blockade on synaptic area, levels of Homer and Bassoon, Homer-Bassoon colocalization values in three independent experiments, and the relationship between the colocalization values and synaptic properties. (A) TTX treatment does not affect the size of synaptic clusters. P > 0.05, Mann-Whitney test. (B) TTX treatment increases synaptic levels of Homer....