Abstract
The rank correlation test for agreement in multiple judgments under classical statistics cannot be applied when uncertainty/indeterminacy is present in rank data. In this paper, a rank correlation test for agreement in multiple judgments under neutrosophic statistics will be introduced. The proposed test has the capability to be applied when imprecise rank data is available. The proposed test is applied using the food quality data and compared with the existing tests. The analysis of food data is shown that the proposed test is productive and more explanatory than the existing tests.
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References
Albassam M, Khan N, Aslam M (2021) Neutrosophic D’Agostino test of normality: An application to water data. J Math, 2021
Ali Z, Bhaskar SB (2016) Basic statistical tools in research and data analysis. 60(9):662
Al-Marshadi AH, Aslam M (2021) Statistical analysis for food quality in the presence of vague information. J Food Qual, 2021
Aslam M (2021) Neutrosophic statistical test for counts in climatology. Sci Rep 11(1):1–5
Aslam M, Balamurali S, Periyasamypandian J, Al-Marshadi AH (2019) Plan for Food Inspection for Inflated-Pareto Data Under Uncertainty Environment. IEEE Access 7:164186–164193
Bodenhofer U, Klawonn FJM, Computing S (2008) Robust rank correlation coefficients on the basis of fuzzy. 15(1):5–20
Booth M, Paillusson FJP (2021) A fuzzy take on the logical issues of statistical hypothesis testing. 6(1):21
Chen J, Ye J, Du S (2017a) Scale effect and anisotropy analyzed for neutrosophic numbers of rock joint roughness coefficient based on neutrosophic statistics. Symmetry 9(10):208
Chen J, Ye J, Du S, Yong R (2017b) Expressions of rock joint roughness coefficient using neutrosophic interval statistical numbers. Symmetry 9(7):123
Das SK, Edalatpanah S (2020) A new ranking function of triangular neutrosophic number and its application in integer programming. Int J Neutrosophic Sc. 4(2)
Flores M, Fernández-Casal R, Naya S, Tarrío-Saavedra J, Bossano R (2018) ILS: An R package for statistical analysis in Interlaboratory Studies. Chemom Intell Lab Syst 181:11–20
G El Barbary O, Abu Gdairi R (2021) Neutrosophic logic-based document summarization. J Math, 2021
Greenland S, Senn SJ, Rothman KJ et al (2016). Statistical tests, P values, confidence intervals, and power: a guide to misinterpretations. 31(4):337–350a
Kanji GK (2006) 100 statistical tests: Sage
Kramer RS, Mileva M, Ritchie KLJ (2018) Inter-rater agreement in trait judgements from faces. 13(8): e0202655
Osmani SA, Banik BK, Ali HJ, E. m., & assessment (2019) Integrating fuzzy logic with Pearson correlation to optimize contaminant detection in water distribution system with uncertainty analyses. 191(7):1–15
Pandian P, Kalpanapriya DJMAS (2014) Tests of statistical hypotheses with respect to a fuzzy set. 8(1):25
Raghunathan TJQ, Quantity (2003) An approximate test for homogeneity of correlated correlation coefficients. 37(1):99–110
Regis M, Postma TA, van den Heuvel E (2017) A note on the calculation of reference change values for two consecutive normally distributed laboratory results. Chemom Intell Lab Syst 171:102–111
Sherwani RAK, Shakeel H, Saleem M, Awan WB, Aslam M, Farooq M (2021) A new neutrosophic sign test: An application to COVID-19 data. PloS one 16(8):e0255671
Smarandache F (1998) Neutrosophy. Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning. Ann Arbor, Michigan, USA 105:118–123
Smarandache F (2014) Introduction to neutrosophic statistics: Infinite Study
Viertl R (2006) Univariate statistical analysis with fuzzy data. Comput Stat Data Anal 51(1):133–147
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The author is deeply thankful to the editor and reviewers for their valuable suggestions to improve the quality of the paper.
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The Deanship of Scientific Research at King Abdulaziz University.
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Muhammad Aslam declares that he has no conflict of interest.
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Aslam, M. Food Quality Inspection Using Uncertain Rank Data. Food Anal. Methods 15, 2306–2311 (2022). https://doi.org/10.1007/s12161-022-02279-2
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DOI: https://doi.org/10.1007/s12161-022-02279-2