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Item response theory (IRT) is a general framework for specifying mathematical functions that describe the interactions of persons and test items. It has a long history, but its popularity is generally attributed to the work of Fredrick Lord and Georg Rasch starting in the 1950s and 1960s. Multidimensional item response the- ory (MIRT) is a special case of IRT that is built on the premise that the mathematical function includes as parameters a vector of multiple person characteristics that de- scribe the skills and knowledge that the person brings to a test and a vector of item characteristics that describes the difficulty of the test item and. | Statistics for Social and Behavioral Sciences Mark D. Reckase Multidimensional Item Response Theory Springer Statistics for Social and Behavioral Sciences Advisors S.E. Fienberg W.J. van der Linden For other titles published in this series go to http www.springer.com 3463 Mark D. Reckase Multidimensional Item Response Theory 1 .