Applying coupon-collecting theory to computer-aided assessments
Charles M. Goldie (University of Sussex), Rosie Cornish (University of, Bristol), Carol L. Robinson (Loughborough University)
TL;DR
This paper applies coupon-collecting theory to analyze the efficiency of generating diverse computer-based tests with randomly selected questions, showing that a surprisingly small number of tests are needed to cover all questions.
Contribution
It introduces a novel application of coupon-collecting theory to assess the question coverage in computer-aided assessments.
Findings
Few tests are needed to cover all questions
Theoretical analysis of question coverage
Implications for test generation efficiency
Abstract
Computer-based tests with randomly generated questions allow a large number of different tests to be generated. Given a fixed number of alternatives for each question, the number of tests that need to be generated before all possible questions have appeared is surprisingly low.
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