Mathematical modelling of forecasting the results of knowledge testing

Aleksandras Krylovas, Natalja Kosareva

Research output: Contribution to journalArticle

5 Citations (Scopus)


In this paper a mathematical model for obtaining probability distribution of the knowledge testing results is proposed. Differences and similarities of this model and Item Response Theory (IRT) logistic model are discussed. Probability distributions of 10 items test results for low, middle and high ability populations selecting characteristic functions of the various difficulty items combinations are obtained. Entropy function values for these items combinations are counted. These results enable to formulate recomendations for test items selection for various testing groups according to their attainment level. Method of selection of a suitable item characteristic function based on the Kolmogorov compatibility test, is proposed. This method is illustrated by applying it to a discreet mathematics test item.

Original languageEnglish
Pages (from-to)388-401
Number of pages14
JournalTechnological and Economic Development of Economy
Issue number3
Publication statusPublished - 2008
Externally publishedYes



  • Entropy
  • Generating function
  • Item characteristic function
  • Logistic model
  • Probability distribution
  • Testing

ASJC Scopus subject areas

  • Finance

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