International Journal of Mathematics and Statistics Studies (IJMSS)

EA Journals

Test of Significance of Correlation Coefficient in Science and Educational Research

Abstract

This study demonstrated and compared the use of t-distribution, z-transformation and the Statistical Package for Social Sciences (SPSS) methods in testing the significance of the correlation coefficients. The study utilized data extracted from Eze (2019). The findings revealed that the significance of the correlation coefficient by the Fisher z-transformation and t-distribution methods were not at variance with that of SPSS. Results also showed that the SPSS approach appears to be the best method since it saves time, reveals the correlation coefficient and p-value for decision making. Results further showed that the t-distribution can be used for both large and small sample sizes since it approximates the z-distribution as the data tends to infinity. Based on the findings of the study, it was recommended among others that the SPSS approach should be adopted by researchers and data analysts for testing the significance of correlation coefficients because it is not only robust, but it is easier, saves time and energy; and users of SPSS in computing correlation should not go further to convert the derived correlation coefficient using either the t-distribution or the z-transformation to test a hypothesis to minimize the risk of computational errors, wrong decisions, time wastage and to avoid unnecessary repetition

Keywords: Correlation, Pearson, Relationship, Significance, Spearman

cc logo

This work by European American Journals is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 4.0 Unported License

 

Recent Publications

Email ID: editor.ijmss@ea-journals.org
Impact Factor: 7.80
Print ISSN: 2053-2229
Online ISSN: 2053-2210
DOI: https://doi.org/10.37745/ijmss.13

Author Guidelines
Submit Papers
Review Status

 

Scroll to Top

Don't miss any Call For Paper update from EA Journals

Fill up the form below and get notified everytime we call for new submissions for our journals.