Testing of homogeneity of populations is a very useful phenomenon in several fields. After knowing that the two populations have the same variability or not, public/private sector organizations can execute their plans accordingly. In this paper, two new classes of nonparametric tests are proposed to test whether the scale parameters of two populations are the same or not. For each class of tests, we determine which member of the class provides the maximum efficacy; and compare its performance with some of the existing tests. Monte Carlo simulation study is carried to see the performance of both tests in terms of power. An illustrative example is also provided to see the implementation of the proposed tests.

中文翻译：

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两类新的尺度参数非参数检验

种群的同质性测试在多个领域是一个非常有用的现象。在知道两个人群是否具有相同的可变性后，公共/私营部门组织可以相应地执行他们的计划。在本文中，提出了两类新的非参数检验来检验两个总体的尺度参数是否相同。对于每一类测试，我们确定该类的哪个成员提供最大的功效；并将其性能与一些现有测试进行比较。进行蒙特卡罗模拟研究以查看两种测试在功率方面的性能。还提供了一个说明性示例以查看建议测试的实现。