COMPUTER-BASED SIMULATION OF STOCHASTIC PROCESS FOR INVESTIGATION OF EFFICIENCY OF STATISTICAL HYPOTHESIS TESTING IN PEDAGOGICAL RESEARCH
Author(s) -
Олександр Геннадійович Колгатін
Publication year - 2016
Publication title -
information technologies in education
Language(s) - English
Resource type - Journals
eISSN - 2306-1707
pISSN - 1998-6939
DOI - 10.14308/ite000582
Subject(s) - statistical hypothesis testing , transformation (genetics) , statistics , statistical analysis , function (biology) , statistical theory , computer science , process (computing) , type i and type ii errors , mathematics , statistical error , algorithm , econometrics , chemistry , evolutionary biology , biology , gene , operating system , biochemistry
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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