Extending the Mann–Whitney–Wilcoxon rank sum test to longitudinal regression analysis

A Generalization of Wilcoxon Rank Sum Test

In this paper, we consider applying the Wilcoxon’s idea for the construction of the one-sample problem to the two-sample case. For this, we show that the location translation parameter becomes a median of the distribution of the difference of two independent random variables under the location translation model. Based on this fact, we construct generalized signed-rank statistics for the two sam...

Extension of Logic regression to Longitudinal data: Transition Logic Regression

Logic regression is a generalized regression and classification method that is able to make Boolean combinations as new predictive variables from the original binary variables. Logic regression was introduced for case control or cohort study with independent observations. Although in various studies, correlated observations occur due to different reasons, logic regression have not been studi...

Extending the Super Efficiency Method to Rank the Non-Extreme Efficient Units

This article will address the extension of super efficiency method to rank the non-extreme efficient decision making units. Many methodologies have introduced methods that can rank efficient units, amongst which, the super efficiency method due to its ability to provide meaningful geometrical as well as economic analyses has a significant place. But the common problem with all the super efficie...

Generalizing the Wilcoxon rank-sum test for interval data

The Two-sample Rank-sum Test: Early Development

The historical development of the two-sample rank-sum test is explored. While most textbooks and journal articles attribute the origin of the two-sample rank-sum test to Wilcoxon (1945) and/or Mann and Whitney (1947), the test was independently developed by at least six researchers in the late 1940s and early 1950s. In addition to Wilcoxon and Mann and Whitney, Festinger (1946), Whitfield (1947...