University of Tehran Journal of Sciences, Islamic Republic of Iran 1016-1104 34 1 2023 03 01 Hypotheses Tests for Circular Data in Weighted Sampling 43 50 91393 10.22059/jsciences.2023.348976.1007756 EN Fatemeh Shahsanei Department of Statistics, Shahid Chamran University of Ahvaz, Ahvaz, Ahvaz, Islamic Republic of Iran Rahim Chinipardaz Department of Statistics, Shahid Chamran University of Ahvaz, Ahvaz, Ahvaz, Islamic Republic of Iran 0000-0003-1058-4735 Journal Article 2022 09 20 This paper is concerned with the problem of statistical hypotheses testing in circular data under weighted sampling. The most powerful test has been obtained when the sampling is subjected to a weight function. Different weight functions are examined for the von Misses distribution. For the same weight function, the critical values and the power of the test can be calculated analytically, and for some, we need to use a numerical method. The simulation study shows that the power of the test increased as the weighted circular distribution is considered in replace of the original circular distribution and the sample data increased. A real-data example has been carried out to show the performance of our method. https://jsciences.ut.ac.ir/article_91393_3a37a130c01f473bfb0e2617af12ef15.pdf