ON APPLICATION OF MATLAB TO THE SOLUTION OF STATISTICAL PROBLEMS

Abstract

The solution of research problems without the use of computer technology can’t be imagined at present. A statistical analysis of a large amount of data is necessary to processing the results of a computational experiment and the use of information technology contributes to automate this process. Modern software tools such as Matchcad, Matlab, Ma-ple, Maxima, Statistica, Scilab, Statgraphics allow solving a lot of tasks related to the processing of experimental data using built-in functions or algorithms developed by the user.
There are a lot of number of standard functions required for statistical processing of data, graphical tools for visualiz-ing the results of the investigation, as well as the ability to integrate with MS Excel for data exchange in Matlab. The Statistics Toolbox extends the capabilities of the Matlab system in the field of statistical data processing, includes func-tions for generating and researching random arrays with different distribution laws. The package provides many tools for graphical visualization of data.
Thus, the problem of development of the algorithm for writing a program that allows statistical analysis of data with the determination of numerical characteristics of the sample, the construction of a histogram and a distribution func-tion of random variables, and testing the hypothesis of the distribution law according to a given criterion is set.
The using of the Matlab in the course of mathematical statistics at the technical university is considered, the possibili-ties of the Matlab for statistics are studied, the algorithm for testing the statistical hypothesis on the distribution of the population and the results of its implementation in Matlab is presented.

Author Biographies

Галина Дмитриевна Анисимова, Omsk State Technical University

postgraduate student of the Department of High Mathematics 

Светлана Ивановна Евсеева, Omsk State Technical University

postgraduate student; lecturer of the Department of High Mathematics

References

[1] Chernova O.V., Kovaleva L.A., Tarasova O.A. The analysis of modern software package for teaching mathematics. Science Almanac. 2016; 4-2:317–320. (In Russian) DOI: 10.17117/na.2016.04.02.317
[2] Esetov F.E., Gadzhieva Z.D., Azizova L.N. Problems of Using the Mathematical Software in Teaching the Mathematical Disciplines at the University. Dagestan State Pedagogical University. Journal. Psychological and Pedagogical Sciences. 2016; 10(2):103-106. Available at: https://elibrary.ru/item.asp?id=27200156 (accessed 27.09.2018). (In Russian)
[3] Ahmetova F.H., Laskovaya T.A., Chigireva O.J. Metodika obrabotki rezul'tatov eksperimenta s pomoshch'yu sistemy Matlab v kurse “Matematicheskaya statistika”. Engineering Bulletin. 2016; 4:1001-1011. Available at: https://elibrary.ru/item.asp?id=26165429 (accessed 27.09.2018). (In Russian)
[4] Vlasova E.A., Mezhennaya N.M., Popov V.S., Pugachev O.V. Methodological aspects of the discipline "Probability theory" in a technical university. Modern high technologies. 2017; 11:96-103. Available at: https://elibrary.ru/item.asp?id=30725892 (accessed 27.09.2018). (In Russian)
[5] Iglin S.P. Teoriya veroyatnostej i matematicheskaya statistika na baze MATLAB [Probability theory and mathematical statistics based on MATLAB]. Har'kov: NTU KPI, 2006. 612 p. (In Russian)
[6] Plohotnikov K.E., Nikolenko V.N. Teoriya veroyatnostej v pakete MATLAB [Probability theory in MATLAB]. M.: Goryachaya liniya-Telekom, 2014. 612 p. Available at: https://elibrary.ru/item.asp?id=24057299 (accessed 27.09.2018). (In Russian)
[7] Anufriev I.E., Smirnov A.B., Smirnova E.V. MATLAB7. SPb.: BHV, 2005. 1104 p. (In Russian)
[8] D'yakonov V.P. MATLAB 6/6.1/6.5 + Simulink 4/5 v matematike i modelirovanii [MATLAB 6/6.1/6.5 + Simulink 4/5 in Mathematics and Modeling]. Moscow: SOLON-Press, 2010. 582 p. Available at: https://elibrary.ru/item.asp?id=30657586 (accessed 27.09.2018). (In Russian)
[9] Potemkin V.G. Sistema MATLAB. M.: Dialog-MEPhi, 1997. 350 p. (In Russian)
[10] Sokolovskij M.N., Cvetkova V.D. Matematicheskaya statistika [Mathematical Statistics]. Omsk: OmG-TU, 2005. 68 p. (In Russian)
[11] Verzhbitskii V.M. Numerical Methods (Mathematical Analysis and Ordinary Differential Equations). M.: ONIX 21 century, 2005. 400 p. Available at: https://elibrary.ru/item.asp?id=20305699 (accessed 27.09.2018). (In Russian)
[12] MathWorks. Available at: http://www.mathworks.com (accessed 27.09.2018).
[13] Exponenta.ru. Available at: http://old.exponenta.ru/ (accessed 27.09.2018). (In Russian)
Published
2018-12-10
How to Cite
АНИСИМОВА, Галина Дмитриевна; ЕВСЕЕВА, Светлана Ивановна. ON APPLICATION OF MATLAB TO THE SOLUTION OF STATISTICAL PROBLEMS. Modern Information Technologies and IT-Education, [S.l.], v. 14, n. 4, p. 960-965, dec. 2018. ISSN 2411-1473. Available at: <http://sitito.cs.msu.ru/index.php/SITITO/article/view/463>. Date accessed: 15 sep. 2025. doi: https://doi.org/10.25559/SITITO.14.201804.960-965.
Section
Scientific software in education and science