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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Article
Author(s)
Athanasios Vasilopoulos
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DOI:10.17265/1537-1514/2014.11.002
Affiliation(s)
Athanasios Vasilopoulos, Ph.D., professor, St. John’s University, New York, USA.
ABSTRACT
When researchers are testing the validity of claims during their research, they may use either parametric methods (if they exist) or non-parametric methods if appropriate parametric methods do not exist. The Chi-square (x2) distribution plays an important role in both parametric and non-parametric methods and many of its most important applications are explored in this paper. This paper provides an excellent summation of the properties and capabilities of the very versatile x2 distribution, and many specific applications and suggestions for additional future applications.
KEYWORDS
Chi-square (χ2) distribution and its most important properties, use of the χ2 distribution as a test statistic, applying the χ2 distribution to perform parametric tests on the population parameters σ2 and σ, testing the equality of three population variances, applying the χ2 distribution to perform non-parametric tests on frequencies, goodness of fit, independence, homogeneity
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