Abstract
In this work, the issue of using prior information in test administration is taken into account. The focus is on the development of procedures to include background variables which are strongly related to the latent ability, adopting a Bayesian approach. Because the desirability of prior information for the ability estimation in item response modelling depends on the goals of the test, only some kinds of educational tests might profit of this approach. The procedures will be evaluated in an empirical context and some recommendations about the use of prior information will be given.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Albert, J.H.: Bayesian estimation of normal ogive item response curves using Gibbs sampling. J. Educ. Stat. 17(3), 251–269 (1992)
Fox, J.P., Glas, C.A.W.: Bayesian estimation of a multilevel IRT model using Gibbs sampling. Psychometrika 66(2), 271–288 (2001)
Fox, J.P., Klein Entink, R., Van der Linden, W.J.: Modeling of response times with the package cirt. J. Stat. Softw. 20(7), (2007)
Geman, S., Geman, D.: Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Trans. Pattern Anal. Mach. Intell. 6, 721–741 (1984)
Lord, F.: A theory of test scores. Psychom. Monogr. 7 (1952)
Lord, F., Novick, M.: Statistical Theories of Mental Test Scores. Addison-Wesley, Reading, MA (1968)
MATLAB 7.1. The MathWorks Inc., Natick, MA (2005)
Schakel, L., Smid, N., Maij-de Meij, A.M.: Connector Ability Manual. PiCompany B.V., Utrecht, The Netherlands (2009)
Skrondal, A., Rabe-Hesketh, S.: Generalized Latent Variable Modeling: Multilevel, Longitudinal and Structural Equation Models. Chapman & Hall/CRC, Boca Raton, FL (2004)
Zwinderman, A.H.: A generalized Rasch model for manifest predictors. Psychometrika 56(4), 589–600 (1991)
Zwinderman, A.H.: Response models with manifest predictors. In: Van der Linder, W.J., Hambleton, R.K. (eds.) Handbook of Modern Item Response Theory, pp. 245–256. Springer, New York (1997)
Van der Linden, W.J.: Empirical initialization of the trait estimation in adaptive testing. Appl. Psychol. Meas. 23(1), 21–29 (1999)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Matteucci, M., Veldkamp, B.P. (2011). Including Empirical Prior Information in Test Administration. In: Fichet, B., Piccolo, D., Verde, R., Vichi, M. (eds) Classification and Multivariate Analysis for Complex Data Structures. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13312-1_17
Download citation
DOI: https://doi.org/10.1007/978-3-642-13312-1_17
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13311-4
Online ISBN: 978-3-642-13312-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)