Geodesic
Cooperative method for assignment of item weights in educational test
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 4, pp. 37-67

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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. 
@article{MGTA_2014_6_4_a1,
     author = {Mikhail M. Lutsenko and Natalia V. Shadrintseva},
     title = {Cooperative method for  assignment of item weights in educational test},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {37--67},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2014_6_4_a1/}
}
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Mikhail M. Lutsenko; Natalia V. Shadrintseva. Cooperative method for  assignment of item weights in educational test. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 4, pp. 37-67. http://geodesic.mathdoc.fr/item/MGTA_2014_6_4_a1/