A Johnson distribution for the average blood glucose levels of the drug induced diabetic experimental rats treated with the Cissampelos pareira L. (Menispermaceae) root extract
Abstract
Using the Kolmogorov –Smirnov D statistic as a distinguishing test, this work discusses the application of a Johnson distribution to understand the design of the average values of the blood glucose levels for the first group of experimental rats classified as G1NC (group 1 normal control) in a recent study conducted by Ankit Kumar et al.(see, Ankit Kumar, Ravindra Semwal, Ashutosh Chauhan, Ruchi Badoni Semwal, Subhash Chandra, Debabrata Sircar, Partha Roy and Deepak Kumar Semwal, Evaluation of antidiabetic effect of Cissampelos pareira L. (Menispermaceae) root extract in streptozotocin-nicotinamide-induced diabetic rats via targeting SGLT2 inhibition, Phytomedicine Plus 2 (2022) 100374, 11pp., https://doi.org/10.1016/j.phyplu.2022.100374), which work was directed at understanding how the medicinal plant Cissampelos pareira L. of the family Menispermaceae could be a potent source to develop an effective medicine for the treatment of diabetes.
References
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8. Upadhyaya LM, Aggarwal S. Viewing the blood glucose levels of the drug induced diabetic experimental rats treated with the Cissampelos pareira L. (Menispermaceae) root extract - II. Partners Universal International Research Journal (PUIRJ) 2024, 3(2): 102 – 119. DOI:10.5281/zenodo.12553641.
9. Aggarwal S., Upadhyaya LM. Dose response Hill model for the arsenic contamination inthe groundwater samples of the Lakhimpur district of Uttar Pradesh. Eng. Appl. Sci. Lett. 2024, 7(2), 29 -41. doi:10.30538/psrp-easl2024.0100 https://pisrt.org/psr-press/journals/easl
10. Kolmogorov AN. Sulla determinazioneempirica di unalegge di distribuzione. Giornale dell’ Instituto Italiano degliAttuari 1933, 4, 83-91.
11. Smirnov N. Table for estimating the goodness of fit of empiricaldistributions. Ann Math Stat 1948, 19(2), 279-281.
12. Stephens MA. (1970) Use of the Kolmogorov-Smirnov, Cramér-vonMises and related statistics without extensive tables. J R Stat Soc 1970, 32, 115-122.
13. Dijkstra's algorithm – Wikipedia. https://en.wikipedia.org/wiki/Dijkstra%27s_algorithm
14. Lovric M (Editor). International Encycloedia of Statistical Science (Springer Reference), Springer, New York.
15. Kolmogorov-Smirnov test – Wikipedia. https://en.wikipedia.org/wiki/Kolmogorov–Smirnov_test
16. Harvard University. Kolmogorov-Smirnov and Kuiper's Tests ofTime Variability.
https://cxc.cfa.harvard.edu/csc/why/ks_test.html
17. Johnson Family of Distributions.
https://variation.com/wp-content/distribution_analyzer_help/hs126.htm
18. JohnsonDistribution—Wolfram Language Documentation. https://reference.wolfram.com/language/ref/JohnsonDistribution.html
19. Johnson, N L. Systems of frequency curves generated by methods of translation, Biometrika,36 (1949), 149 – 176.
20. MATLAB. Johnson system random numbers - MATLAB johnsrnd - MathWorks India. https://in.mathworks.com/help/stats/johnsrnd.html
21. JohnsonSB - Johnson Special Bounded (SB) distribution.
https://mooseframework.inl.gov/source/distributions/JohnsonSB.html?__cf_chl_f_tk=kB8nECaE_XEw1npDtpO3RTOsg0jBJ3ijZ2A9MuMnkkU-1725129566-0.0.1.1-4927
22. Krishnamoorthy K. Handbook of Statistical Distributions with Applications, Second Edition. CRC Press, Taylor and Francis Group, Boca Raton, London, New York, 2016.
23. NIST Engineering Statistics Handbook. https://www.itl.nist.gov/div898/handbook/toolaids/pff/E-Handbook.pdf
2. Diabetes. https://en.wikipedia.org/wiki/Diabetes
3. Kumar A, Semwal R, Chauhan A, Semwal RB, Chandra S, Sircar D, Roy P, Semwal DK. Evaluation of antidiabetic effect of Cissampelos pareira L. (Menispermaceae) root extract in streptozotocin-nicotinamide-induced diabetic rats via targeting SGLT2 inhibition. Phytomedicine Plus. 2022 Nov 1;2(4):100374., https://doi.org/10.1016/j.phyplu.2022.100374
4. Cissampelos pareira – Wikipedia. https://en.wikipedia.org/wiki/Cissampelos_pareira
5. Sathyavathi A, Upadhyaya LM. Possible regression models for the municipal finances of the municipal corporations of various Indian states. Bulletin of Pure and Applied Sciences. 2023 Jun 18;42(1):72-93.
6. Sathyavathi A, Upadhyaya LM, Aggarwal S. Possible regression models for the municipal finances of the municipal corporations of various Indian states -II. Bulletin of Pure and Applied Sciences Section E Mathematics and Statistics. 2023; 42E (2): 143 – 179.
7. Upadhyaya LM, Aggarwal S. Viewing the blood glucose levels of the drug induced diabetic experimental rats treated with the Cissampelos pareira L. (Menispermaceae) root extract. J Adv Res Appl Math Stat 2024; 9(1&2): 5-15.
8. Upadhyaya LM, Aggarwal S. Viewing the blood glucose levels of the drug induced diabetic experimental rats treated with the Cissampelos pareira L. (Menispermaceae) root extract - II. Partners Universal International Research Journal (PUIRJ) 2024, 3(2): 102 – 119. DOI:10.5281/zenodo.12553641.
9. Aggarwal S., Upadhyaya LM. Dose response Hill model for the arsenic contamination inthe groundwater samples of the Lakhimpur district of Uttar Pradesh. Eng. Appl. Sci. Lett. 2024, 7(2), 29 -41. doi:10.30538/psrp-easl2024.0100 https://pisrt.org/psr-press/journals/easl
10. Kolmogorov AN. Sulla determinazioneempirica di unalegge di distribuzione. Giornale dell’ Instituto Italiano degliAttuari 1933, 4, 83-91.
11. Smirnov N. Table for estimating the goodness of fit of empiricaldistributions. Ann Math Stat 1948, 19(2), 279-281.
12. Stephens MA. (1970) Use of the Kolmogorov-Smirnov, Cramér-vonMises and related statistics without extensive tables. J R Stat Soc 1970, 32, 115-122.
13. Dijkstra's algorithm – Wikipedia. https://en.wikipedia.org/wiki/Dijkstra%27s_algorithm
14. Lovric M (Editor). International Encycloedia of Statistical Science (Springer Reference), Springer, New York.
15. Kolmogorov-Smirnov test – Wikipedia. https://en.wikipedia.org/wiki/Kolmogorov–Smirnov_test
16. Harvard University. Kolmogorov-Smirnov and Kuiper's Tests ofTime Variability.
https://cxc.cfa.harvard.edu/csc/why/ks_test.html
17. Johnson Family of Distributions.
https://variation.com/wp-content/distribution_analyzer_help/hs126.htm
18. JohnsonDistribution—Wolfram Language Documentation. https://reference.wolfram.com/language/ref/JohnsonDistribution.html
19. Johnson, N L. Systems of frequency curves generated by methods of translation, Biometrika,36 (1949), 149 – 176.
20. MATLAB. Johnson system random numbers - MATLAB johnsrnd - MathWorks India. https://in.mathworks.com/help/stats/johnsrnd.html
21. JohnsonSB - Johnson Special Bounded (SB) distribution.
https://mooseframework.inl.gov/source/distributions/JohnsonSB.html?__cf_chl_f_tk=kB8nECaE_XEw1npDtpO3RTOsg0jBJ3ijZ2A9MuMnkkU-1725129566-0.0.1.1-4927
22. Krishnamoorthy K. Handbook of Statistical Distributions with Applications, Second Edition. CRC Press, Taylor and Francis Group, Boca Raton, London, New York, 2016.
23. NIST Engineering Statistics Handbook. https://www.itl.nist.gov/div898/handbook/toolaids/pff/E-Handbook.pdf
Published
2024-10-22
How to Cite
UPADHYAYA, Lalit Mohan; AGGARWAL, Sudhanshu.
A Johnson distribution for the average blood glucose levels of the drug induced diabetic experimental rats treated with the Cissampelos pareira L. (Menispermaceae) root extract.
Journal of Advanced Research in Applied Mathematics and Statistics, [S.l.], v. 9, n. 3&4, p. 13-31, oct. 2024.
ISSN 2455-7021.
Available at: <http://thejournalshouse.com/index.php/Journal-Maths-Stats/article/view/1314>. Date accessed: 30 dec. 2024.
Section
Research Article
