A study on Parametric and Non-Parametric Statistical Tools

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Year : 2026 | Volume : 16 | 01 | Page :
    By

    Nagendra Singh,

  • Sanjeev Kumar Verma,

  1. Assistant Professor, Department of Mechanical Engineering, Institute of Engineering and Technology, Dr. Bhimrao Ambedkar University, Swami Vivekanada Campus, Khandari, Agra, UP, India
  2. Assistant Professor, Department of Mechanical Engineering, Central Instrumentation Facility Research and Development Cell, Lovely Professional University, Phagwara, Punjab, India

Abstract

This research report provides a brief overview of the most recent research techniques. The field of the research process has seen a resurgence of attention due to recent advancements in academia. Professors, Ph.D. candidates, researchers, investigative officers, and university students comprise the demographic of this research article. The article will become an essential part of your research papers, projects, and reports for citations due to future obligations. This study is distinct due to the researchers’ discussion of all relevant software, almost all parametric and non-parametric tests, and statistical tools, such as central tendency, mean, median, variance, standard deviation, standard error, validity & reliability, co-efficient of variation, type I, II & III errors, skewness, kurtosis, and histogram. The statistical data analysis procedure, data cleansing, data mining, and data analysis and data gathering methods for mixed-method, qualitative, and quantitative research have also been discussed with the researchers. The foundation of each study is the proper application of research tools and techniques. Any study project starts with a statistical technique, and when these techniques are applied correctly, the results will be reliable and valuable for the world to consider. Researchers’ lack of familiarity with the use of parametric and non-parametric techniques has been noted in a number of publications. The purpose of conducting this study is to ease the confusion or lack of knowledge among the researchers in application of various parametric and non-parametric technique. This paper is an attempt to simplify the statistical decision for future research scholar. This study is useful as it converts the complex theoretical concepts of parametric and non-parametric techniques into simplified summarized content. This will eventually lead to the research fraternity fostering effective solutions to the social issues. When data does not meet the assumptions needed for parametric testing, non-parametric statistical tools are crucial methods.  These tools are applicable to nominal and ordinal data, and even to interval or ratio data when normality and homoscedasticity assumptions are violated. This chapter provides a comprehensive understanding of widely used non-parametric methods, their applications, assumptions, advantages, limitations, and interpretation. It is a useful manual for researchers in all fields. Before exploring specific tools and their applications, it is important to understand the foundation of non-parametric statistics within research methodology. Unlike parametric techniques, which rely heavily on assumptions such as normality of data distribution and homogeneity of variance, non-parametric methods are flexible and applicable to real-life business and social data, which may not always meet such ideal conditions. These tests are widely used in management and behavioural research because they efficiently analyse ranked, ordinal, or categorical data derived from surveys, field studies, and qualitative assessments.

Keywords: Data collection Instrument, Statistical Scales, Tools & Software, Parametric & Non-Parametric Tests, Data Analyzing Process.

How to cite this article:
Nagendra Singh, Sanjeev Kumar Verma. A study on Parametric and Non-Parametric Statistical Tools. Journal of Production Research & Management. 2026; 16(01):-.
How to cite this URL:
Nagendra Singh, Sanjeev Kumar Verma. A study on Parametric and Non-Parametric Statistical Tools. Journal of Production Research & Management. 2026; 16(01):-. Available from: https://journals.stmjournals.com/joprm/article=2026/view=238614


References

  • Ali, Zulfiqar, Bhaskar, S Bala (2016) Basic statistical tools in research and data analysis, Indian journal of anaesthesia, India, 60(9), 662-669.
  • Yeh, H. C., Bertram, A., Brancati, F. L., and Cofrancesco Jr, J. (2015). Perceptions of division directors in general internal medicine about the importance of and support for scholarly work done by clinician–educators. Academic Medicine, 90(2), 203-208.
  • Alan O. Sykes (1993) An introduction to regression analysis, (3-30) Chicago, USA. Winters, R., Winters, A., and Amedee, R. G. (2010). Statistics: A brief overview. Ochsner Journal, 10(3), 213-216.
  • Cooley, W. W., & Lohnes, P. R. (1971). Data analysis (129 – 138). Windish, D. M. (2021). A guide to basic statistics for educational research. MedEdPORTAL, 17, 11187.
  • Eric Jondeau & Michael Rockinger (2003) Conditional volatility, skewness, and kurtosis: existence, persistence, and comovements, Journal of Economic dynamics and Control, 27(10), 1699-1737, France.
  • Varpio, L., O’Brien, B., Hu, W., Ten Cate, O., Durning, S. J., van der Vleuten, C., Gruppen, L., Irby, D., Humphrey-Murto, S., and Hamstra, S. J. (2017). Exploring the institutional logics of health professions education scholarship units. Medical Education, 51(7), 755-767.
  • Hafiz Muhammad Salman & Noreen Aleem (2024) Hundred Theories and Models of Mass Communication, SSRN, USA 162 (pp 6-11).
  • Udto, K. T., and Ibrahim, A. M. (2023). Effectiveness of motivational techniques in enhancing teaching-learning process, Journal of Learning and Educational Policy, 3(4), 1-4.
  • Hafiz Muhammad Salman (2022) Forty Theories of Mass Communication. Available at SSRN USA, 4039156, 50 (3).
  • Atasoylu, A. A., Wright, S. M., Beasley, B. W., Cofrancesco Jr, J., Macpherson, D. S., Partridge, T., Thomas, P. A., and Bass, E. B. (2003). Promotion criteria for clinician‐ educators. Journal of General Internal Medicine, 18(9), 711-716.
  • B. Kekre, Kavita Patil (2009) Standard deviation of mean and variance of rows and columns of images for CBIR. International Journal of Computer and Information Engineering, India, 3(3), 570-573, (1-4)
  • Khusainova, R., Shilova, Z., and Curteva, O. (2016). Selection of appropriate statistical methods for research results processing. International Electronic Journal of Mathematics Education, 11(1), 303-315.
  • Herv´e Abdi (2010) Coefficient of variation, Encyclopedia of research design, 1(5), 169-171, Dallas USA.
  • Neideen, T. and Brasel, K. (2007). Understanding statistical test. Journal of Surgical Education, 64(2), 93-96.
  • Hamed Taherdoost (2016). Validity and reliability of the research instrument; how to test the validation of a questionnaire/survey in a research. International Journal of Academic Research in Management (IJARM), 5, PP 27-36 Switzerland.
  • Ryan, M. S., Tucker, C., DiazGranados, D., and Chandran, L. (2019). How are clinician educators evaluated for educational excellence? A survey of promotion and tenure committee members in the United States. Medical Teacher, 41(8), 927-933.
  • Herbert M. Turner & Robert M. Bernard (2006) Calculating and synthesizing effect sizes. Contemporary issues in communication science and disorders, 33(Spring), 42-55, Canada.
  • Hafiz Muhammad Salman (2019). Soft Strategic Depth: Concept of Media Corridor between Pakistan and Central Asia. Available at SSRN 3650500 USA (PP 62-63).
  • John W. Tukey (1962) the future of data analysis. In Breakthroughs in Statistics: Methodology and Distribution (pp. 408-452). New York, NY: Springer New York, Chapter, pp 408–452.
  • Joseph A. Durlak (2009) How to select, calculate, and interpret effect sizes. Journal of pediatric psychology, 34(9), 917-928., Chicago, USA.
  • Kaur, Parampreet & Stoltzfus, Jill (2017). Type I, II, and III statistical errors: A brief overview. International Journal of Academic Medicine, 3(2), 268-270.
  • Lynn Fendler, Irfan Muzaffar (2008). The history of the bell curve: Sorting and the idea of normal. Educational Theory, 58(1), 63-82, Wiley Online Library.
  • Loann David Denis Desboulets (2018) A review on variable selection in regression analysis. Econometrics, 6(4), 45, France.
  • Landtblom, Karin (2023). Mean, median, and mode in school years 4–6: A study about aspects of statistical literacy (Doctoral dissertation, Department of Teaching and Learning, Stockholm University), p. 103 (total pages: 119)
  • Manfred M. Fischer, Jinfeng Wang (2011). Spatial data analysis: models, methods and techniques. Springer Science & Business Media.
  • Marieke de Mooij & Geert Hofstede (2002). Convergence and divergence in consumer behavior: implications for international retailing. Journal of retailing, 78(1), 61-69, Netherlands and Spain.
  • Mohieddin Jafari and Naser Ansari-Pour (2019). Why, when and how to adjust your P values? Cell Journal (Yakhteh), 20(4), 604, Iran.
  • Adeyemi, T.O. (2009). Inferential statistics for social and behavioral research. Research Journal of Mathematics and Statistics, 1(2), 47-54.
  • Agarwal, S. A. (2021). Use of statistics in research. International Journal for Modern Trends in Science and Technology, 7(11), 98-103.
  • Alexandraki, I., Rosasco, R. E., and Mooradian, A. D. (2021). An evaluation of faculty development programs for clinician–educators: A scoping review. Academic Medicine, 96(4), 599-606.
  • Al-Haddad, S., Chick, N., and Safi, F. (2024). Teaching statistics: A technology enhanced supportive instruction (TSI) model during the covid-19 pandemic and beyond. Journal of Statistics and Data Science Education, 32(2), 129-142.
  • Gibbons, J. D., & Chakraborti, S. (2011). Nonparametric statistical inference (5th ed.). Chapman & Hall/CRC.
  • Kruskal, W. H., & Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis. Journal of the American Statistical Association, 47(260), 583–621.
  • Mann, H. B., & Whitney, D. R. (1947). On a test of whether one of two random variables is stochastically larger than the other.
  • Anastasi, A. (1968). Psychological testing. London: The MacMillan Company.
  • Anastasi, A., & Urbina, S. (2014). Psychological testing. Delhi: PHI Learning Private Limited.
  • Best, J.W., & Kahn, J.V. (2006,2012). Research in education. New Delhi: PHI Learning Private Limited.
  • Cohen, L., Manion, L., & Morrison, K. (2000). Research methods in education. London: Routledge.
  • Koul, L. (2005). Methodology of educational research. New Delhi: Vikas Publishing House Pvt. Ltd.
  • Mangal, S.K., & Mangal, S. (2013). Research methodology in behavioural sciences. New Delhi: PHI Learning Private Limited.
  • Patel, R.S. (2008). Statistical methods for educational research. Ahmedabad: Jay Publication.
  • Young, P.V. (1956). Scientific social survey and research. New Delhi: Prentice Hall of India.
  • Likert, R. A technique for the measurement of attitudes. Arch. Psychol. 1932, 22, 5–55.
  • Stevens, S.S. On the theory of scales of measurement. Science 1946, 103, 677–680.
  • Feinstein, A.R. Clinical Biostatistics. Chapter 16: On Exercising the Ghost of Gauss and the Curse of Kelvin; Mosby: Saint Louis, MO, USA, 1977.
  • Kuzon, W.M.; Urbanchek, M.G.; McCabe, S. The seven deadly sins of statistical analysis. Ann. Plast. Surg. 1996, 37, 265–272.
  • Knapp, T.R. Treating ordinal scales as interval scales: An attempt to resolve the controversy. Nurs. Res. 1990, 39, 121–123.
  • Gardner, P.L. Scales and statistics. Rev. Educ. Res. 1975, 45, 43–57.
  • Boneau, C.A. The effects of violations of assumptions underlying the t-test. Psychol. Bull. 1960, 57, 49–64.
  • Jamieson, S. Likert scales; how to (ab)use them. Med. Educ. 2004, 38, 1212–1218.
  • Norman, G. Likert scales, levels of measurement and the “laws” of statistics. Adv. Health Sci. Educ. 2010, 15, 625–632.
  • Atkinson, J.; De Paepe, K.; Sánchez Pozo, A.; Rekkas, D.; Volmer, D.; Hirvonen, J.; Bozic, B.; Skowron, A.; Mircioiu, C.; Marcincal, A.; et al. The PHAR-QA Project: Competence Framework for Pharmacy Practice—First Steps. The Results of the European Network Delphi Round 1. Pharmacy 2015, 3, 307–329.
  • Marz, R.; Dekker, F.W.; van Schravendijk, C.; O’Flynn, S.; Ross, M.T. Tuning research competencies for Bologna three cycles in medicine: Report of a MEDINE2 European consensus survey. Perspect. Med. Educ.2013,2, 181-195.
  • Glass, G.V.; Peckham, P.D.; Sanders, J.R. Consequences of Failure to Meet Assumptions Underlying the Fixed Effects Analyses of Variance and Covariance. Rev. Educ. Res. 1972, 42, 237–288.

Ahead of Print Subscription Review Article
Volume 16
01
Received 23/01/2026
Accepted 02/02/2026
Published 20/02/2026
Publication Time 28 Days


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