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Avtomatika i Telemekhanika, 2014, Issue 4, Pages 20–37
(Mi at7529)
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This article is cited in 12 scientific papers (total in 12 papers)
Mathematical programming problems
Using the maximum likelihood method to estimate test complexity levels
A. I. Kibzun, A. O. Inozemtsev Moscow State Aviation Institute, Moscow, Russia
Abstract:
Consideration was given to the problem of estimating the levels of complexity of the test tasks for the remote education system. It was assumed that the random responses of the subjects obey the logistic distribution and the levels of student readiness are not known in advance. An algorithm based on the methods of maximum likelihood and Broyden–Fletcher–Goldfarb–Shanno was proposed to calculate the task complexity. Strict concavity of the logarithmic likelihood function was established, and an example was considered.
Citation:
A. I. Kibzun, A. O. Inozemtsev, “Using the maximum likelihood method to estimate test complexity levels”, Avtomat. i Telemekh., 2014, no. 4, 20–37; Autom. Remote Control, 75:4 (2014), 607–621
Linking options:
https://www.mathnet.ru/eng/at7529 https://www.mathnet.ru/eng/at/y2014/i4/p20
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Statistics & downloads: |
Abstract page: | 446 | Full-text PDF : | 164 | References: | 56 | First page: | 31 |
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