the CHI-SQUARE TEST FOR STUDENT'S T DISTRIBUTION USING SELECTIVE ORDER STATISTICS

Abstract

The aim of the present study is to investigate the power and efficiency of the chi-square test for goodness-of-fit (GOF)for Student's t under the Selective Order Statistics (SOS). A simulation study compares the chi-square test's efficiency based on an SOS with its counterpart in a simple random sampling (SRS).The chi-square test is found to be more powerful under the SOS when compared to SRS. However, for the case of median SOS, the test is found to be more powerful under SRS.