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.