The Derivation and Choice of Appropriate Test Statistic (Z, t, F and Chi-Square Test) in Research Methodology

Teshome Hailemeskel Abebe¹

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.6 , pp.87-95, Dec-2019

Online published on Dec 31, 2019

Copyright © Teshome Hailemeskel Abebe . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
This paper aims to choose an appropriate test statistic for research methodology. Specifically, it tries to explore the concept of statistical hypothesis test, derivation of the test statistic and identify their application on research methodology. It also try to show the basic formulating and testing of hypothesis using test statistic since choosing appropriate test statistic is the most important tool of research. Among the common statistical tests: Z-test, Student’s t-test, F test (like ANOVA), and Chi square test were identified. In testing the mean of a population or comparing the means from two continuous populations, the z-test and t-test were used, while the F test is used for comparing more than two means and equality of variance. The chi-square test was used for testing independence, goodness of fit and population variance of single sample in categorical data. Therefore, choosing an appropriate test statistic gives valid results about hypothesis testing.

Key-Words / Index Term :
Test Statistic, Z-test, Student’s t-test, F test (like ANOVA), Chi-square test, Research Methodology

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