Theoretical evaluation of partial credit scoring of the multiple-response test item
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We compute and compare statistics of five different scoring rules for the selected-response type of test items where the number of keys is an arbitrary integer and the test-takers are perfectly rational agents. We consider a hypothetical test of factual recognition, in which the underlying ability that we seek to measure is the fraction of the item options that the test-taker truly recognizes (and not only guesses correctly), assumed directly proportional the test-taker’s domain knowledge. From these comparisons, two of these scoring rules are singled out as superior to the others.
2008 ◽
Vol 216
(1)
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pp. 3-11
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2010 ◽
Vol 157
(1)
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pp. 110-119
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2020 ◽
Vol 17
(1)
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pp. 429