Cooperative method for assignment of item weights in educational test

Mikhail M. Lutsenko ; Natalia V. Shadrintseva

Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 4, pp. 37-67.

Résumé

A cooperative game related with determination of the weights of educational test is presented. A learning course structure and time required to be a student get trained are used to calculate a characteristic function of the game. Formulae for Shapley value and Banzhaf power index are given for linear and tree course structures.

Détail

Keywords: educational test, item weight, Shapley value, Banzhaf power index, cooperative game.

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