Mathematical modelling of forecasting the results of knowledge testing

作者：Krylovas Aleksandras^*; Kosareva Natalja

来源：Technological and Economic Development of Economy, 2008, 14(3): 388-401.

DOI：10.3846/1392-8619.2008.14.388-401

• testing
• logistic model
• item characteristic function
• generating function
• entropy
• probability distribution

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.

• 出版日期2008