, Volume 70, Issue 1, pp 213–216 | Cite as

A note on item information in any direction for the multidimensional three-parameter logistic model



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 (θmax) in the direction of the item discrimination vector. Several corollaries are given. Implications for future research are discussed.


item information measurement direction multidimensional measurement maximum information three-parameter logistic model 


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  1. Ackerman T.A., Evans J.A. (1994) The influence of conditioning scores in performing DIF analyses. Applied Psychological Measurement 18:329–342Google Scholar
  2. 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-WesleyGoogle Scholar
  3. Hambleton R.K., Swaminathan H. (1985) Item Response Theory: Principles and Applications. Norwell, MA: Kluwer Academic PublishersGoogle Scholar
  4. Reckase, M.D. (1985). The difficulty of test items that measure more than one ability. Applied Psychological Measurement, 9, 401–412.Google Scholar
  5. 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-VerlagGoogle Scholar
  6. Reckase M.D., McKinley R.L. (1991) The discriminating power of items that measure more than one dimension. Applied Psychological Measurement, 15:361–373Google Scholar
  7. Samejima F. (1977) A use of the information function in tailored testing. Applied Psychological Measurement, 1:233–247Google Scholar
  8. Segall D.O. (1996) Multidimensional adaptive testing. Psychometrika, 61:331–354Google Scholar
  9. van der Linden W.J. (1999) Multidimensional adaptive testing with a minimum error-variance criterion. Journal of Educational and Behavioral Statistics, 24:398–412Google Scholar
  10. Weiss D.J. (1982) Improving measurement quality and efficiency with adaptive testing. Applied Psychological Measurement, 6:473–492Google Scholar

Copyright information

© The Psychometric Society 2005

Authors and Affiliations

  1. 1.University Of Central FLorida At OrlandoUSA
  2. 2.Department of PsychologyUniversity of Central FloridaOrlandoUSA

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