This study uses mixed integer quadratic programming (MIQP) to construct multiple highly equivalent item pools simultaneously, and compares the results from mixed integer programming (MIP). Three different MIP/MIQP models were implemented and evaluated using real CAT item pool data with 23 different content areas and a goal of equal information…

Two different methods of obtaining three parameter logistic item response theory (IRT) pretest item parameter estimated for the Graduate Management Admissions Testing Program. The first method consisted of calibrating pretest and operational items simultaneously in a LOGIST run, that is a concurrent calibration design. The second approach entailed…

Errors in item parameter estimates have a negative impact on the accuracy of item and test information functions. The estimation errors may be random, but because items with higher levels of discriminating power are more likely to be selected for a test, and these items are most apt to contain positive errors, the result is that item information…