Structurally consistent probabilities of selecting answers

Nicolaus Tideman and Reza Kheirandish

Journal of Applied Statistics, 2003, vol. 30, issue 7, 803-811

Abstract: This paper offers a procedure for specifying probabilities for students to select answers on a multiple-choice test that, unlike previous procedures, satisfies all three of the following structural consistency conditions: (1) for any student, the sum over questions of the probabilities that the student will use the correct answers is the student's score on the test; (2) for any student, the sum over possible answers of the probabilities of using the answers is 1.0; and (3) for any answer to any question, the sum over students of the probabilities of using that answer is the number of students who used that answer. When applied to an exam, these fully consistent probabilities had the same power to identify cheaters as the probabilities proposed by Wesolowsky, and noticeably better power than the probabilities suggested by Frary et al.

Date: 2003
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.tandfonline.com/doi/abs/10.1080/0266476032000076065 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:japsta:v:30:y:2003:i:7:p:803-811

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/CJAS20

DOI: 10.1080/0266476032000076065

Access Statistics for this article

Journal of Applied Statistics is currently edited by Robert Aykroyd

More articles in Journal of Applied Statistics from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().