Consider drawing a sample of ‘n’ experimental units where each unit is observed over ‘T’ time periods. Are the draws independent ? Small and large (in ‘n’) sample properties of a distribution-free statistic, built to assess the degree of correlation, are provided. Further, the large sample distribution is also investigated in the case where the statistic is evaluated using residuals from a comp...

This supplementary appendix contains proofs of the results in the main text as well as auxiliary results. Section B contains auxiliary results used in the rest of this appendix. These results are restatements or simple extensions of well known results on uniform convergence, and do not constitute part of the main novel contribution of the paper. Section C of this appendix derives critical value...

It has recently been shown that an increase of the relief height of a glossy surface positively correlates with the perceived level of gloss (Y.-H. Ho, M. S. Landy, & L. T. Maloney, 2008). In the study presented here we investigated whether this relation could be explained by the finding that glossiness perception correlates with the skewness of the luminance histogram (I. Motoyoshi, S. Nishida...

The study examines long-term changes and short-term fluctuations in ambient temperature of North East India during 1901-2003 located in part of the Eastern Himalayan region of the Brahmaputra Basin. Long-term linear trends were examined with the Mann-Kendal rank statistic and moving average method while the short-term fluctuations were studied by applying Cramer’s test. The results showed signi...

"This article considers four aspects of IRM [international retirement migration]. The first considers the limited literature on this... topic and identifies the distinctiveness of both its international and European features. The second reviews the existing statistical data for north-south IRM in Europe, particularly from the UK to Italy, Malta, Portugal and Spain; it establishes both the scale...

Group sequential designs are often used for periodically assessing treatment efficacy during the course of a clinical trial. Following a group sequential test, P-values computed under the assumption that the data were gathered according to a fixed sample design are no longer uniformly distributed under the null hypothesis of no treatment effect. Various sample space orderings have been proposed...

For comparing the distribution of two samples with multiple endpoints, O'Brien (1984) proposed rank-sum-type test statistics. Huang et al. (2005) extended these statistics to the general nonparametric Behrens-Fisher hypothesis problem and obtained improved test statistics by replacing the ad hoc variance with the asymptotic variance of the rank-sum statistics. In this paper we generalize the wo...