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Applied Psychological Measurement, Vol. 20, No. 2, 101-125 (1996)
DOI: 10.1177/014662169602000201

Monte Carlo Studies in Item Response Theory

Michael Harwell

University of Pittsburgh

Clement A. Stone

University of Pittsburgh

Tse-Chi Hsu

University of Pittsburgh

Levent Kirisci

University of Pittsburgh

Monte carlo studies are being used in item response theory (IRT) to provide information about how validly these methods can be applied to realistic datasets (e.g., small numbers of examinees and multidimensional data). This paper describes the conditions under which monte carlo studies are appropriate in IRT-based re search, the kinds of problems these techniques have been applied to, available computer programs for gen erating item responses and estimating item and exam inee parameters, and the importance of conceptualizing these studies as statistical sampling experiments that should be subject to the same principles of experimen tal design and data analysis that pertain to empirical studies. The number of replications that should be used in these studies is also addressed.

Key Words: Index terms: analy sis of variance • experimental design • item response theory • monte carlo techniques • multiple regression.


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