In this paper we explore the usefulness of induced-order statistics in the characterization of integrated series and of cointegration relationships. We propose a non-parametric test statistic for testing the null hypothesis of two independent random walks against wide cointegrating alternatives including monotonic nonlinearities and certain types of level shifts in the cointegration relationshi...

We read with great interest the article reporting on the efficacy and safety of acupuncture and nimodipine therapy for the treatment of mild cognitive impairment after cerebral infarction [1]. We would like to highlight that the article by Wang and colleagues reports outcomes that differ from those initially described [2]. The article reference the pre-specified primary outcomes (efficacy) and ...

Treatment means in factorial experiments are lattice ordered when there is an increase in mean response as the level of any factor is increased while holding the other factors fixed. Such means occur naturally in many experiments. A nonparametric test for lattice-ordered means involving a Kendall-type statistic will be summarized for k-factor factorial experiments. Specifically, the form of the...

Asymptotic Relative Efficiency ] was pleased to read "Promise in Nonparametrics" by Royeen and Seaver (March, ] 986). As the authors state, analysis of data by non parametric methods when the strong assumptions for parametric counterparts cannot be met provides the researcher with effective statistical procedures that may be more realistic and valid in a given situation. It is also interesting ...

Test of homogeneity of covariances (or homoscedasticity) among several groups has many applications in statistical analysis. In the context of incomplete data analysis, tests of homoscedasticity among groups of cases with identical missing data patterns have been proposed to test whether data are missing completely at random (MCAR). These tests of MCAR require large sample sizes n and/or large ...

Menzerath's law, the tendency of Z (the mean size of the parts) to decrease as X (the number of parts) increases, is found in language, music and genomes. Recently, it has been argued that the presence of the law in genomes is an inevitable consequence of the fact that Z=Y/X, which would imply that Z scales with X as Z ∼ 1/X. That scaling is a very particular case of Menzerath-Altmann law that ...