Expected Values for Category-To-Measure and Measure-To-Category Statistics: A Simulation Study

There are many sources of evidence for a well-functioning rating-scale. Two of these sources are analyses of measure-to-category and category-to-measure statistics. An absolute cut-value of 40% for these statistics has been suggested. However, no evidence exists in the literature that this value is appropriate. Thus, this paper discusses the results of simulation studies that examined the expected values in different contexts. The study concludes that a static cut-value of 40% should be replaced with expected values for measure-to-category and category-to-measure analyses.