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I am trying to optimize in situations such as the following: Given 100 ability test items with such known item values as (1) difficulty, (2) correlation with criterion, (3) position in subject matter taxonomy, (4) illustrated/nonillustrated, (5) abstraction level, and (6) length, I seek to make three 20-item tests that are as nearly identical in their properties (difficulty, illustrations, taxonomy, etc) as possible, using each item only once. (The goal is to make the tests interchangeable; there are approx 2.6 e50 such sets of t...