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Parametric and Nonparametric Tests: A Brief Review

Received: 2 April 2021    Accepted: 15 April 2021    Published: 28 October 2021
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Abstract

Context: Statistics is the cornerstone of markets, businesses, policy makers and other sectors that require analysis and interpretation of data. From generation-to-generation, statistics has proved useful in everyday life, not only that it helps improving the quality of life through counting and record keeping, but it also allows people to predict the future events and to make their own analysis. Before making a conclusion, data should be collected, analysed and interpreted. Evidence Acquisition: In this study, the paper reviewed parametric and nonparametric tests. Researchers sampled some articles where parametric and nonparametric tests were used without considering assumptions. Results: In this study, researchers provided a review of parametric tests; namely, independent sample t-test and dependent sample t-test, and nonparametric tests; namely, Mann-Whitney U test and Wilcoxon signed-rank test. The formulae for calculating parametric and nonparametric tests have been provided in the study. Procedures on how to conduct Mann-Whitney U test and Wilcoxon signed-rank test in SPSS have been written in this article. Test of normality has been discussed in brief as a key component in analysing parametric and nonparametric tests. Conclusions: Most of the studies that have been carried out have not been considering assumptions when analysing data using either parametric tests or nonparametric tests. This study looked at parametric and nonparametric tests. In parametric tests, the paper looked at independent and dependent sample t-test, while in nonparametric test, the paper looked at Mann-Whitney U test and Wilcoxon signed-rank test.

Published in International Journal of Statistical Distributions and Applications (Volume 7, Issue 3)
DOI 10.11648/j.ijsd.20210703.12
Page(s) 78-82
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Parametric, Nonparametric, Test of Normality, Statistics

References
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[2] Sarah, H and Joseph R. D (2018). Parametric and Nonparametric Tests in Spine Research: Why Do They Matter. Global Spine Journal. 8 (6): 652-65. Doi: 10.1177/2192568218782679Kolawole, B. E. (2008). Effects of competitive and cooperative learning strategies on academic performance of Nigerian students in mathematics. Educational Research and Review, 34-35.
[3] Jeffrey, E. H and Carol, B (2008). Publishing Nutrion Research: A Review of Nonparamentric Methods, Part 3. Journal of the Academy Nutrtion and Dietetics. 108 (9): 1488-1496. Doi: 10.1016/j.jada.2008.06.42.
[4] Verm, J. P and Abdel-Salam, G (2019). Testing Statistical Assumptions in Research. Hoboken, New Jersey. 141-174 p. Doi: 10.1002/9781119528388.
[5] Francis, S. N (2016). Nonparametric Statistical Tests for the Continuous Data. The Basic Concept and the Practical Use. Korean Journal of Anesthesiology. 69 (1): 8-14. Doi: 10.4097/kjae.
[6] Umar, I. (2017). Assessing the Effect of Cooperative Learning on Financial Accounting Achievement among Secondary School Students. International Journal of Instruction. 10 (3) 31-46
[7] Gail, F, Dawson M. D and FAAEP, M, S (2016). Easy Interpretation of Biostatistics. Michigan. 63-74. Doi: 10.1016/B978-1-4160-3142-0.50014-6.
[8] Fatih, O (2020). Parametric or Non-parametric: Skewness to Test Normality for Mean Comparison. International Journal of Assessment Tools in Education. 7 (2): 255-265.
[9] Asghar, G., & Saleh, Z. (2012). Normality Tests for Statistical Analysis: A Guide for Non-Statisticians. International Journal of Endocrinology Metabolism. 10 (2): 486-489. Doi: 10.5812/ijem.3505.
[10] Keya, D. R., & Rahmatullah, I. A (2016). A Brief Review of Tests for Normality. American Journal of Theoretical and Applied Statistics. 2016; 5 (1): Doing A Quantitative Research in Education with SPSS. London: Sage Publications 5-12. Doi: 10.11648/j.ajtas.20160501.12.
[11] Amanda, R and Victor, L. W (2017). Basic and Advanced Statistical Tests. Springer. 13-16 p. Doi: 10.1007/978-94-6351-086-8_3.
[12] Anna. H (2001). Mann-Whitney Test in not Just a Test of Medians: Differences in Spread can be Important. 323 (7309): 391–393. Doi: 10.1136/bmj.323.7309.391. [PMID: 1150943].
[13] Cyril, P (2016). Null Hypothesis Significance Testing: A Short Tutorial. 621 (3). Doi: 10.12688/f100research.6963.3. [PMCID: PMC5635437]. [PMID: 29067159].
[14] Younis, S (2015). The Bread and Butter of Statistical Analysis ‘‘t-test’’. Uses and Misuses. Pakistan Journal of Medical Sciences. 31 (6): 1558-1559. Doi: 10.12669/pjms.316.8984. [PMCID: PMC4744321]. [PMID: 26870136].
[15] Elise, W and Jonathan B (2002). Statistics Review 6: Nonparametric Methods. BioMed Central. 6 (6): 509-513. Doi: 10.1186/cc1820. [PMCID: PMC153434]. [PMID: 12493072].
[16] Amitav, B, Chitnis, U. B and Chaudhury, S (2009). Hypothesis Testing, Type I and Type II Errors. Induetria; l Psychiatry Joural. 18 (2): 127-131. Doi: 10.4103/0972-6748.62274. [PMCID: PMC2996198]. [PMID: 21180491].
Cite This Article
  • APA Style

    Banda Gerald, Tailoka Frank Patson. (2021). Parametric and Nonparametric Tests: A Brief Review. International Journal of Statistical Distributions and Applications, 7(3), 78-82. https://doi.org/10.11648/j.ijsd.20210703.12

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    ACS Style

    Banda Gerald; Tailoka Frank Patson. Parametric and Nonparametric Tests: A Brief Review. Int. J. Stat. Distrib. Appl. 2021, 7(3), 78-82. doi: 10.11648/j.ijsd.20210703.12

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    AMA Style

    Banda Gerald, Tailoka Frank Patson. Parametric and Nonparametric Tests: A Brief Review. Int J Stat Distrib Appl. 2021;7(3):78-82. doi: 10.11648/j.ijsd.20210703.12

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  • @article{10.11648/j.ijsd.20210703.12,
      author = {Banda Gerald and Tailoka Frank Patson},
      title = {Parametric and Nonparametric Tests: A Brief Review},
      journal = {International Journal of Statistical Distributions and Applications},
      volume = {7},
      number = {3},
      pages = {78-82},
      doi = {10.11648/j.ijsd.20210703.12},
      url = {https://doi.org/10.11648/j.ijsd.20210703.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsd.20210703.12},
      abstract = {Context: Statistics is the cornerstone of markets, businesses, policy makers and other sectors that require analysis and interpretation of data. From generation-to-generation, statistics has proved useful in everyday life, not only that it helps improving the quality of life through counting and record keeping, but it also allows people to predict the future events and to make their own analysis. Before making a conclusion, data should be collected, analysed and interpreted. Evidence Acquisition: In this study, the paper reviewed parametric and nonparametric tests. Researchers sampled some articles where parametric and nonparametric tests were used without considering assumptions. Results: In this study, researchers provided a review of parametric tests; namely, independent sample t-test and dependent sample t-test, and nonparametric tests; namely, Mann-Whitney U test and Wilcoxon signed-rank test. The formulae for calculating parametric and nonparametric tests have been provided in the study. Procedures on how to conduct Mann-Whitney U test and Wilcoxon signed-rank test in SPSS have been written in this article. Test of normality has been discussed in brief as a key component in analysing parametric and nonparametric tests. Conclusions: Most of the studies that have been carried out have not been considering assumptions when analysing data using either parametric tests or nonparametric tests. This study looked at parametric and nonparametric tests. In parametric tests, the paper looked at independent and dependent sample t-test, while in nonparametric test, the paper looked at Mann-Whitney U test and Wilcoxon signed-rank test.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - Parametric and Nonparametric Tests: A Brief Review
    AU  - Banda Gerald
    AU  - Tailoka Frank Patson
    Y1  - 2021/10/28
    PY  - 2021
    N1  - https://doi.org/10.11648/j.ijsd.20210703.12
    DO  - 10.11648/j.ijsd.20210703.12
    T2  - International Journal of Statistical Distributions and Applications
    JF  - International Journal of Statistical Distributions and Applications
    JO  - International Journal of Statistical Distributions and Applications
    SP  - 78
    EP  - 82
    PB  - Science Publishing Group
    SN  - 2472-3509
    UR  - https://doi.org/10.11648/j.ijsd.20210703.12
    AB  - Context: Statistics is the cornerstone of markets, businesses, policy makers and other sectors that require analysis and interpretation of data. From generation-to-generation, statistics has proved useful in everyday life, not only that it helps improving the quality of life through counting and record keeping, but it also allows people to predict the future events and to make their own analysis. Before making a conclusion, data should be collected, analysed and interpreted. Evidence Acquisition: In this study, the paper reviewed parametric and nonparametric tests. Researchers sampled some articles where parametric and nonparametric tests were used without considering assumptions. Results: In this study, researchers provided a review of parametric tests; namely, independent sample t-test and dependent sample t-test, and nonparametric tests; namely, Mann-Whitney U test and Wilcoxon signed-rank test. The formulae for calculating parametric and nonparametric tests have been provided in the study. Procedures on how to conduct Mann-Whitney U test and Wilcoxon signed-rank test in SPSS have been written in this article. Test of normality has been discussed in brief as a key component in analysing parametric and nonparametric tests. Conclusions: Most of the studies that have been carried out have not been considering assumptions when analysing data using either parametric tests or nonparametric tests. This study looked at parametric and nonparametric tests. In parametric tests, the paper looked at independent and dependent sample t-test, while in nonparametric test, the paper looked at Mann-Whitney U test and Wilcoxon signed-rank test.
    VL  - 7
    IS  - 3
    ER  - 

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Author Information
  • Itimpi Campus, Mukuba University, Kitwe, Zambia

  • Itimpi Campus, Mukuba University, Kitwe, Zambia

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