Comparison of Power between Adaptive Tests and Other Tests in the Field of Two Sample Scale Problem

Usually when we have to deal with an analysis of a particular data set, we often choose a statistical procedure on the reference of the analysis. Now if in this analysis the parametric assumptions are fulfilled we will prefer F test for the two sample scale problem. But if the behaviour of the data set does not fulfil these assumptions then we have to focus on some other tests. In this paper it is tried to throw light on the use of Adaptive tests on the context of this problem. This paper comprises of power comparison between F test, some traditional Non- Parametric tests and proposed Adaptive tests. Under the experiment equal and unequal sample sizes are taken considering different alternatives. This is done by the use of Monte Carlo simulation technique. At the end of the experiment, inspite of many limitations, some satisfactory results are obtained. All those results are displayed in tabular and graphical form.