Methods for nonparametric statistics in scientific research. Overview. Part 1.
https://doi.org/10.21323/2414-438X-2021-6-2-151-162
Abstract
Daily, researcher faces the need to compare two or more observation groups obtained under different conditions in order to confirm or argue against a scientific hypothesis. At this stage, it is necessary to choose the right method for statistical analysis. If the statistical prerequisites are not met, it is advisable to choose nonparametric analysis. Statistical analysis consists of two stages: estimating model parameters and testing statistical hypotheses. After that, the interpretation of the mathematical processing results in the context of the research object is mandatory. The article provides an overview of two groups of nonparametric tests: 1) to identify differences in indicator distribution; 2) to assess shift reliability in the values of the studied indicator. The first group includes: 1) Rosenbaum Q-test, which is used to assess the differences by the level of any quantified indicator between two unrelated samplings; 2) Mann-Whitney U-test, which is required to test the statistical homogeneity hypothesis of two unrelated samplings, i. e. to assess the differences by the level of any quantified indicator between two samplings. The second group includes sign G-test and Wilcoxon T-test intended to determine the shift reliability of the related samplings, for example, when measuring the indicator in the same group of subjects before and after some exposure. Examples are given; step-by-step application of each test is described. The first part of the article describes simple nonparametric methods. The second part describes nonparametric tests for testing hypotheses of distribution type (Pearson’s chi-squared test, Kolmogorov test) and nonparametric tests for testing hypotheses of sampling homogeneity (Pearson’s chi-squared test for testing sampling homogeneity, Kolmogorov-Smirnov test).
Keywords
Supporting agencies: The research was supported by state assignment of V. M. Gorbatov Federal Research Centre for Food Systems of RAS, scientific research No. FNEN-2019–0008
About the Authors
M. A. Nikitina
V. M. Gorbatov Federal Research Center for Food Systems of Russian Academy of Sciences
Russian Federation
Russian Federation
Marina A. Nikitina — candidate of technical sciences, docent, leading scientific worker, the Head of the Direction of Information Technologies of the Center of Economic and Analytical Research and Information Technologies
26, Talalikhina, 109316, Moscow
Tel: +7–495–676–95–11 extension 297
I. M. Chernukna
V. M. Gorbatov Federal Research Center for Food Systems of Russian Academy of Sciences
Russian Federation
Russian Federation
Irina M. Chernukha — doctor of technical sciences, professor, Academician of the Russian Academy of Sciences, Head of the Department for Coordination of Initiative and International Projects
26, Talalikhina, 109316, Moscow
Tel: +7–495–676–95–11 extension 109
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For citations:
Nikitina M.A., Chernukna I.M. Methods for nonparametric statistics in scientific research. Overview. Part 1. Theory and practice of meat processing. 2021;6(2):151-162. https://doi.org/10.21323/2414-438X-2021-6-2-151-162
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