A Note on a New Class of Distribution-Free Tests for the Two-Sample Scale Problem Based on Subsample Medians

摘要

A fundamental problem encountered in statistics is that of testing the equality of two population parameters those measure variability. There are several tests available in the literature for the two-sample scale problem. However, much attention has not been given to the tests that take care of suspected outliers at the extremes. In this paper, we propose a class of distribution-free tests for the two-sample scale problem which is resistant to extreme outliers in the data. The performance of the class in terms of Pitman relative efficiency has been evaluated with respect to many available tests for some standard distributions.