Int. J. Anal. Appl. (2022), 20:46 Received: Jun. 20, 2022. 2010 Mathematics Subject Classification. 65C20. Key words and phrases. survival analysis; Kaplan-Meier; survival curves; statistical power; censoring. https://doi.org/10.28924/2291-8639-20-2022-46 © 2022 the author(s) ISSN: 2291-8639 1 Statistical Powers of Some Tests for Checking Homogeneity of Survival Distributions with Disjointed Ends in the Presence of Censoring Babalola Bayowa Teniola 1,2* , Adeleke Raphael Ayantunji 2 , Halid Omobolaji Yusuf 2 , Olubiyi Adenike Olufunmilola 2 , Ogunsakin Ropo Ebenezer 3 , Adigun Kehinde Abimbola 4 , Adejuwon Samuel Oluwaseun 4 , Adarabioyo Mumini Idowu 4 , Ogunboyo Ojo Femi 5 , Fadugba Sunday Emmanuel 6 , Egbon Osafu Augustine 7 , Akinyemi Oluwadare 2 , Ogunwale Olukunle Daniel 2 , Faweya Olanrewaju 2 , Kawiso Martin 1 1 Department of Mathematics and Statistics, Kampala International University, Uganda 2 Department of Statistics, Ekiti State University, Ado-Ekiti, Nigeria 3 Biostatistics, Discipline of Public Health Medicine, Howard College, University of KwaZulu-Natal, South Africa 4 Department of Mathematical and Physical Science, Afe Babalola University, Ado-Ekiti, Nigeria 5 Department of Epidemiology and Biostatistics, University of Medical Sciences, Ondo, Nigeria 6 Department of Mathematics, Ekiti State University, Ado-Ekiti, Nigeria 7 Institute of Mathematics and Computer Science, University of Sao Paulo, Sao Carlos, Brazil * Corresponding Author: bayowa.babalola@kiu.ac.ug ABSTRACT. This paper considered the comparison of some tests for assessing the overall homogeneity of Kaplan-Meier survival curves under low and high censoring rates when the curves are disjointed towards the end. The performances of these tests were measured by their statistical powers. Monte Carlo simulation study was conducted to evaluate and numerically compare the relative performances of Log-rank,Wilcoxon, Tarone-Ware, Peto-Peto, Modified Peto-Peto, the Fleming-Harrington (1,1), and the Babalola-Adeleke tests. The result obtained shows that the Babalola-Adeleke and Fleming-Harrington (1,1) tests have more