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Statistical Powers of Some Tests for Checking Homogeneity of Survival Distributions with Disjointed Ends in the Presence of Censoring
Author: Babalola Bayowa Teniola; Adeleke Raphael Ayantunji; Halid Omobolaji Yusuf; Olubiyi Adenike Olufunmilola; Ogunsakin Ropo Ebenezer; Adigun Kehinde Abimbola; Adejuwon Samuel Oluwaseun; Adarabioyo Mumini Idowu; Ogunboyo Ojo Femi; Fadugba Sunday Emmanuel; Egbon Osafu Augustine; Akinyemi Oluwadare; Ogunwale Olukunle Daniel; Faweya Olanrewaju; Kawiso Martin
Publisher: International Journal of Analysis and Applications
Published: 2022
Section: Faculty of Science and Technology
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 robust performances than the other five popular tests with relatively high power in detecting differences when
the censoring rates in the groups are both low and high. The highest overall average powers under low and
high censoring rates were produced by Babalola-Adeleke and Fleming-Harrington (1,1) tests respectively.
Hence, these two tests are the most suitable tests for diagnosing homogeneity of survival curves under these
conditions.