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Comparison of rank transformation test statistics with its nonparametric counterpart using reallife data

Joel, A. T. and Ojo, O. D. and Timothy, O.A. and Jonathan, Oluranti and Ayedun, C. A. (2020) Comparison of rank transformation test statistics with its nonparametric counterpart using reallife data. Mathematics and Statistics, 8 (6). pp. 683-692.

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Over the years, non-parametric test statistics have been the only solution to solve data that do not follow a normal distribution. However, giving statistical interpretation used to be a great challenge to some researchers. Hence, to overcome these hurdles, another test statistics was proposed called Rank transformation test statistics so as to close the gap between parametric and non-parametric test statistics. The purpose of this study is to compare the conclusion statement of Rank transformation test statistics with its equivalent non parametric test statistics in both one and two samples problems using real-life data. In this study, (2018/2019) Post Unified Tertiary Matriculation Examinations (UTME) results of prospective students of Ladoke Akintola University of Technology (LAUTECH) Ogbomoso across all faculties of the institution were used for the analysis. The data were subjected to nonparametric test statistics which include; Asymptotic Wilcoxon sign test and Wilcoxon sum Rank (both Asymptotic and Distribution) using Statistical Packages for Social Sciences (SPSS). In the same vein, R-statistical programming codes were written for Rank Transformation test statistics. Their P-values were extracted and compared with each other with respect to the pre-selected alpha level (α) = 0.05. Results in both cases revealed that there is a significant difference in the median of the scores across all faculties since their type I error rate are less than the preselected alpha level 0.05. Therefore, Rank transformation test statistics is recommended as alternative test statistics to non-parametric test in both one sample and two-sample problems. © 2020 by authors, all rights reserved.

Item Type: Article
Uncontrolled Keywords: Non-parametric; Normal Distribution; Parametric; Rank Transformation; Test Statistics Topics of prominenceLearn about these TopicsFunding details
Subjects: B Philosophy. Psychology. Religion > BF Psychology
Divisions: Faculty of Medicine, Health and Life Sciences > School of Psychology
Depositing User: Patricia Nwokealisi
Date Deposited: 21 Jun 2021 16:22
Last Modified: 10 Jul 2024 15:55

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