COMPUTER-BASED SIMULATION OF STOCHASTIC PROCESS FOR INVESTIGATION OF EFFICIENCY OF STATISTICAL HYPOTHESIS TESTING IN PEDAGOGICAL RESEARCH

O. Kolgatin

doi:10.14308/ite000582

O. Kolgatin Kharkiv National Pedagogical University named after G.S.Skovoroda, Kharkiv https://orcid.org/0000-0001-8423-2359

Keywords: Stochastic process, statistical hypothesis, small samples, Chi-square criterion, Fisher's angular transformation

Abstract

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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