标题：Item difficulty of multiple choice tests dependant on different item response formats – An experiment in fundamental research on psychological assessment
摘要：Multiple choice response formats are problematical as an item is often scored as solved simply because the test-taker is a lucky guesser. Instead of applying pertinent IRT models which take guessing effects into account, a pragmatic approach of re-conceptualizing multiple choice response formats to reduce the chance of lucky guessing is considered. This paper compares the free response format with two different multiple choice formats. A common multiple choice format with a single correct response option and five distractors (“1 of 6”) is used, as well as a multiple choice format with five response options, of which any number of the five is correct and the item is only scored as mastered if all the correct response options and none of the wrong ones are marked (“x of 5”). An experiment was designed, using pairs of items with exactly the same content but different response formats. 173 test-takers were randomly assigned to two test booklets of 150 items altogether. Rasch model analyses adduced a fitting item pool, after the deletion of 39 items. The resulting item difficulty parameters were used for the comparison of the different formats. The multiple choice format “1 of 6” differs significantly from “x of 5”, with a relative effect of 1.63, while the multiple choice format “x of 5” does not significantly differ from the free response format. Therefore, the lower degree of difficulty of items with the “1 of 6” multiple choice format is an indicator of relevant guessing effects. In contrast the “x of 5” multiple choice format can be seen as an appropriate substitute for free response format.
