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has been cited by the following article:

• TITLE: New Nonparametric Rank-Based Tests for Paired Data

  AUTHORS: Guogen Shan

  KEYWORDS: BWS Test, Nonparametric Test, Paired Data, Power Study, Rank Difference, Wilcoxon Signed Rank Test

  JOURNAL NAME: Open Journal of Statistics, Vol.4 No.7, August 28, 2014

  ABSTRACT: We propose a new nonparametric test based on the rank difference between the paired sample for testing the equality of the marginal distributions from a bivariate distribution. We also consider a modification of the novel nonparametric test based on the test proposed by Baumgartern, Weiβ, and Schindler (1998). An extensive numerical power comparison for various parametric and nonparametric tests was conducted under a wide range of bivariate distributions for small sample sizes. The two new nonparametric tests have comparable power to the paired t test for the data simulated from bivariate normal distributions, and are generally more powerful than the paired t test and other commonly used nonparametric tests in several important bivariate distributions.