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...