@article{Kumar_Goyal_Kumar_2021, title={A Class of Tests Based Jointly on Sub-Sample Minimum and Median: A Class of Tests Based Jointly on Sub-Sample Minimum and Median}, volume={32}, url={https://ojs.ksa.org.in/index.php/JKSA/article/view/36}, abstractNote={<p>In Statistics, nonparametric tests play a very important role when the data sets are not normal. In this paper, we develop a class of nonparametric tests to compare location parameters of two populations. The proposed test statistic is based jointly on minimum and median of the sub-samples. The mean and variance of the test statistic are derived. The test statistic has asymptotic normality under some assumptions. The proposed class of the tests is compared with its existing competitor’s w.r.t. Pitman and Bahadur asymptotic relative efficiency. As an illustration, the proposed test is applied to a real life data set. We carried out the Monte Carlo simulation study to find the power and level of significance of the proposed test.</p>}, number={1}, journal={Journal of the Kerala Statistical Association}, author={Kumar, Arun and Goyal, Manish and Kumar, Narinder}, year={2021}, month={Dec.}, pages={1–17} }