Geodesic
Game-theoretic approach to accuracy of testing
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 1 (2009) no. 4, pp. 63-77.

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In the paper some game models of test are constructed and their reliability (probability of correct score) is shown. The matters of investigation are statistical games between Nature and Statistician. Solution of the games (the worst priori distribution, optimal decision function) are found. The results of author's work [1] are used.
Keywords: test reliability, antagonistical games, statistical game, randomize decision function, worst priori distribution. 
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Mikhail Lutsenko. Game-theoretic approach to accuracy of testing. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 1 (2009) no. 4, pp. 63-77. http://geodesic.mathdoc.fr/item/MGTA_2009_1_4_a3/

[1] Lutsenko M.M., “Teoretiko igrovoi metod otsenki parametra binomialnogo zakona”, Teoriya veroyatnostei i ee primeneniya, 35:3 (1990), 471–481 | MR | Zbl

[2] Lutsenko M.M., Ivanov M.A., “Minimaksnye doveritelnye intervaly dlya parametra gipergeometricheskogo raspredeleniya”, Avtomatika i telemekhanika, 2000, no. 7, 68–76 | Zbl

[3] Neiman Yu.M., Khlebnikov V.A., Vvedenie v teoriyu modelirovaniya i parametrizatsii pedagogicheskikh testov, Prometei, M., 2000 | Zbl