Abstract:The main characteristic of a binary test is the item response function (IRF) expressing the probability P (d, a) of an object under test (OUT), possessing ability a, to successfully overcome the test item (TI) of difficulty d. Each specific test requires its own definitions of TI difficulty and OUT ability and has its own P (d, a) describing the probability of "success" mentioned above. This is demonstrated on the basis of several examples taken from different areas of statistical engineering. A common feature… Show more
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