Abstract :

This study aims to assess the effectiveness of empirical distribution function (EDF) tests and the chi-square test for goodness of fit (GOF) when applied to Student's t distribution under Selective Order Statistics(SOS). Through a simulation process, we compare the power and efficiency of these tests under SOS and simple random sampling (SRS). Results indicate that EDF tests and the chi-square test exhibit greater power under SOS than SRS. However, in the case of median SOS, the chi-square test is found to be more powerful under SRS. Additionally, we provide the percentage points of these tests under null hypotheses.