A note on item information in any direction for the multidimensional three-parameter logistic model Authors
First Online: 10 April 2005 DOI:
Cite this article as: Bryant, D.U. Psychometrika (2005) 70: 213. doi:10.1007/s11336-003-1129-6 Abstract
The purpose of this note is twofold: (a) to present the formula for the item information function (IIF) in any direction for the Multidimensional 3-Parameter Logistic (M3-PL) model and (b) to give the equation for the location of maximum item information (
θ max) in the direction of the item discrimination vector. Several corollaries are given. Implications for future research are discussed. Keywords item information measurement direction multidimensional measurement maximum information three-parameter logistic model
This research was supported in part by an Educational Testing Service (ETS) Harold T. Gulliksen Psychometric Research Fellowship to the author.
This revised article was published online in August 2005 with the PDF paginated correctly.
Download to read the full article text References
Ackerman T.A., Evans J.A. (1994) The influence of conditioning scores in performing DIF analyses. Applied Psychological Measurement 18:329–342
Birnbaum A. (1968) Some latent trait models and their use in inferring an examinee’s ability. In F.M. Lord, M.R. Novick (Eds.) Statistical Theories of Mental Test Scores (pp 453–479). Reading, MA: Addison-Wesley
Hambleton R.K., Swaminathan H. (1985) Item Response Theory: Principles and Applications. Norwell, MA: Kluwer Academic Publishers
Reckase, M.D. (1985). The difficulty of test items that measure more than one ability. Applied Psychological Measurement, 9, 401–412.
Reckase M.D. (1997) A linear logistic multidimensional model for dichotomous item response data. In W.J. van der Linden R. K. Hambleton (Eds.), Handbook of Modern Item Response Theory (pp. 271–286). New York: Springer-Verlag
Reckase M.D., McKinley R.L. (1991) The discriminating power of items that measure more than one dimension. Applied Psychological Measurement, 15:361–373
Samejima F. (1977) A use of the information function in tailored testing. Applied Psychological Measurement, 1:233–247
Segall D.O. (1996) Multidimensional adaptive testing. Psychometrika, 61:331–354
van der Linden W.J. (1999) Multidimensional adaptive testing with a minimum error-variance criterion. Journal of Educational and Behavioral Statistics, 24:398–412
Weiss D.J. (1982) Improving measurement quality and efficiency with adaptive testing. Applied Psychological Measurement, 6:473–492
© The Psychometric Society 2005