COMPUTER-BASED SIMULATION OF STOCHASTIC PROCESS FOR INVESTIGATION OF EFFICIENCY OF STATISTICAL HYPOTHESIS TESTING IN PEDAGOGICAL RESEARCH
DOI:
https://doi.org/10.14308/ite000582Keywords:
Stochastic process, statistical hypothesis, small samples, Chi-square criterion, Fisher's angular transformationAbstract
Efficiency of Chi-square criterion and Fisher's angular transformation for statistical hypothesis testing are investigated at small samples with computer-based model. The results show that both criteria give satisfactory accuracy even at small samples. Accuracy zones of determination of the false positive rate (type I error) are analysed on the base of stochastic computational experiments. Comparison of sensitivities of investigated tests is shown as a function of samples size for some cases.
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Monaco, A. F.; Bird, E. M.: Electronic Scientific-Educational Space and the Prospects of their Development in the Context of Supporting the Mass and Continuity. Control Systems and Machines, N 4, 83-92 (2012)
Kravtsov, H.: Methods and Technologies for the Quality Monitoring of Electronic Educational Resources [Electronic Resource]. Proc. 11-th Int. Conf. ICTERI 2015, Lviv, Ukraine, May 14-16, 2015, CEUR-WS.org/Vol-1356, ISSN 1613-0073, P.311-325. http://ceur-ws.org/Vol-1356/paper_109.pdf
Spivakovskiy A., Petukhova L., Spivakovska E., Kotkova V., Kravtsov H.: Three-Subjective Didactic Model. Information and Communication Technologies in Education, Research, and Industrial Applications. Communications in Computer and Information Science. Springer International Publishing, V 412, 252-273, (2013)
Grabar, M. I.; Krasnyanskaya, K. A.: Application of Mathematical Statistics in Educational Research. Nonparametric Methods. Pedagogika, Moscow, (1977)
Sidorenko, E. V.: Methods of Mathematical Processing in Psychology. "Speech", St. Petersburg, (2002)
Godfrua, J.: What is Psychology. T. 2. Mir, Moscow, (1992)
Gubler, E. V.; Genkin, A. A.: Use of Non-parametric Criteria of Statistics in Biomedical Research. Medicine, Leningrad, (1973)
Langsrud, Øyvind: Fisher's Exact Test [Electronic Resource]. http://www.langsrud.com /fisher.htm
Kolgatin, O. G.: Information Technology in Educational Research. Control Systems and Machines, 255, N1, 66-72, (2015)
Monaco, A. F.; Bird, E. M.: Electronic Scientific-Educational Space and the Prospects of their Development in the Context of Supporting the Mass and Continuity. Control Systems and Machines, N 4, 83-92 (2012)
Kravtsov, H.: Methods and Technologies for the Quality Monitoring of Electronic Educational Resources [Electronic Resource]. Proc. 11-th Int. Conf. ICTERI 2015, Lviv, Ukraine, May 14-16, 2015, CEUR-WS.org/Vol-1356, ISSN 1613-0073, P.311-325. http://ceur-ws.org/Vol-1356/paper_109.pdf
Spivakovskiy A., Petukhova L., Spivakovska E., Kotkova V., Kravtsov H.: Three-Subjective Didactic Model. Information and Communication Technologies in Education, Research, and Industrial Applications. Communications in Computer and Information Science. Springer International Publishing, V 412, 252-273, (2013)
Grabar, M. I.; Krasnyanskaya, K. A.: Application of Mathematical Statistics in Educational Research. Nonparametric Methods. Pedagogika, Moscow, (1977)
Sidorenko, E. V.: Methods of Mathematical Processing in Psychology. "Speech", St. Petersburg, (2002)
Godfrua, J.: What is Psychology. T. 2. Mir, Moscow, (1992)
Gubler, E. V.; Genkin, A. A.: Use of Non-parametric Criteria of Statistics in Biomedical Research. Medicine, Leningrad, (1973)
Langsrud, Øyvind: Fisher's Exact Test [Electronic Resource]. http://www.langsrud.com /fisher.htm
Kolgatin, O. G.: Information Technology in Educational Research. Control Systems and Machines, 255, N1, 66-72, (2015)
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