RUS  ENG
Full version
JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2014 Volume 6, Issue 4, Pages 37–67 (Mi mgta144)

This article is cited in 1 paper

Cooperative method for assignment of item weights in educational test

Mikhail M. Lutsenko, Natalia V. Shadrintseva

The St. Petersburg Transport University

Abstract: 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.

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

UDC: 519.832+378
BBK: 22.18



© Steklov Math. Inst. of RAS, 2024