Skip to main content

A framework for item response models

  • Chapter
Explanatory Item Response Models

Part of the book series: Statistics for Social Science and Public Policy ((SSBS))

Abstract

This volume has been written with the view that there are several larger perspectives that can be used (a) to throw light on the sometimes confusing array of models and data that one can find in the area of item response modeling, (b) to explore different contexts of data analysis than the ‘test data’ context to which item response models are traditionally applied, and (c) to place these models in a larger statistical framework that will enable the reader to use a generalized statistical approach and also to take advantage of the flexibility of statistical computing packages that are now available.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Agresti, A., Booth, J., Hobert, J.P., & Caffo, B. (2000). Random-effects modeling of categorical data. Sociological Methodology, 30, 27–80.

    Article  Google Scholar 

  • Baker, F.B. (1992) Item Response Theory: Parameter Estimation Techniques. New York: Marcel Dekker.

    MATH  Google Scholar 

  • 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. 395–479). Reading, MA: Addison-Wesley.

    Google Scholar 

  • Bock, R.D. (1997). A brief history of item response theory. Educational Measurement: Issues and Practice, 16, 21–33.

    Article  Google Scholar 

  • Bond, T., & Fox, C. (2001). Applying the Rasch Model: Fundamental Measurement in Human Sciences. Mahwah, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Boomsma, A., van Dijn, M.A.J., & Snijders, T.A.B. (Eds) (2001). Essays and Item Response Theory. New York: Springer.

    Google Scholar 

  • Breslow, N.E., & Clayton, D.G. (1993). Approximate inference in generalized linear mixed models. Journal of the American Statistical Association, 88, 9–25.

    MATH  Google Scholar 

  • Camilli, G. (1994). Origin of the scaling constant d = 1.7 in item response theory. Journal of Educational and Behavioral Statistics, 19, 293–295.

    Google Scholar 

  • Cohen, J., & Cohen, P. (1983). Applied Multiple Regression/correlation Analysis for the Behavioral Sciences (2nd ed.). Hillsdale, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Cronbach, L.J. (1957). The two disciplines of scientific psychology. American Psychologist, 12, 672–684.

    Article  Google Scholar 

  • Davidian, M., & Giltinan, D.M. (1995). Nonlinear Models for Repeated Measurement Data. London: Chapman & Hall.

    Google Scholar 

  • Davis, C.S. (2002). Statistical Methods for the Analysis of Repeated Measurements. New York: Springer.

    MATH  Google Scholar 

  • Embretson, S.E. (1983). Construct validity: Construct representation versus nomothetic span. Psychological Bulletin, 93, 179–197.

    Article  Google Scholar 

  • Embretson, S.E. (Ed.) (1985). Test Design: Developments in Psychology and Psychometrics. New York: Academic Press.

    Google Scholar 

  • Embretson, S.E., & Reise, S. (2000). Item Response Theory for Psychologists. Mahwah, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Fahrmeir, L., & Tutz, G. (2001). Multivariate Statistical Modeling Based on Generalized Linear Models (2nd ed.). New York: Springer.

    Book  Google Scholar 

  • Fischer, G.H., & Molenaar, I. (Eds) (1995). Rasch Models Foundations, Recent Developments and Applications. New York: Springer.

    MATH  Google Scholar 

  • Goldstein, H. (2003). Multilevel Statistical Models (3rd ed.). London: Arnold.

    MATH  Google Scholar 

  • Hambleton, R.K., Swaminathan, H., & Rogers, H.J. (1991). Fundamentals of Item Response Theory. Newbury Park, CA: Sage.

    Google Scholar 

  • Kamata, A. (2001). Item analysis by the hierarchical generalized linear model. Journal of Educational and Behavioral Statistics, 38, 79–93.

    Google Scholar 

  • Kirk, R.E. (1995). Experimental Design. Procedures for the Behavioral Sciences (3rd ed.). Pacific Grove, CA: Brooks/Cole.

    MATH  Google Scholar 

  • Kreft, I., & de Leeuw, J. (1998). Introducing Multilevel Modeling. London: Sage.

    Google Scholar 

  • Longford, N.T. (1993). Random Coefficient Models. London: Oxford University Press.

    MATH  Google Scholar 

  • Lord, F.M., & Novick, M. (1968). Statistical Theories of Mental Test Scores. Reading, MA: Addison Wesley.

    MATH  Google Scholar 

  • McCullagh, P., & Neider, J.A. (1989). Generalized Linear Models (2nd ed.). London: Chapman & Hall.

    MATH  Google Scholar 

  • McCulloch, C.E., & Searle, S.R. (2001). Generalized, Linear, and Mixed Models. New York: Wiley.

    MATH  Google Scholar 

  • McDonald, R.P. (1999). Test Theory. Hillsdale, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Mellenbergh, G. (1994). Generalized linear item response theory. Psychological Bulletin, 115, 300–307.

    Article  Google Scholar 

  • Moustaki, I., & Knott, M. (2000). Generalized latent trait models. Psy-chometrika, 65, 391–441.

    MathSciNet  Google Scholar 

  • Raudenbush, S.W., & Bryk, A.S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods. Thousand Oaks, CA: Sage.

    Google Scholar 

  • Rijmen, F., Tuerlinkx, F., De Boeck, P., & Kuppens (2003). A nonlinear mixed model framework for item response theory. Psychological Methods, 8, 185–205.

    Article  Google Scholar 

  • SAS Institute (1999). SAS Online Doc (Version 8) (software manual on CD-Rom). Cary, NC: SAS Institute Inc.

    Google Scholar 

  • Snijders, T., & Bosker, R. (1999). Multilevel Analysis. London: Sage.

    MATH  Google Scholar 

  • Spiegelhalter, D., Thomas, A., Best, N. & Lunn, D. (2003). BUGS: Bayesian inference using Gibbs sampling. MRC Biostatistics Unit, Cambridge, England,www.mrc-bsu.cam.ac.uk/bugs/

    Google Scholar 

  • Spielberger, C.D. (1988). State-Trait Anger Expression Inventory Research Edition. Professional Manual. Odessa, FL: Psychological Assessment Resources.

    Google Scholar 

  • Spielberger, C.D., & Sydeman, S.J. (1994). State-trait anxiety inventory and state-trait anger expression inventory. In M.E. Maruish (Ed.), The Use of Psychological Tests for Treatment Planning and Outcome Assessment (pp. 292–321). Hillsdale, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Sternberg, R.J. (1977). Component processes in analogical reasoning. Psychological Review, 84, 353–378.

    Article  Google Scholar 

  • Sternberg, R.J. (1980). Representation and process in linear syllogistic reasoning. Journal of Experimental Psychology: General, 109, 119–159.

    Article  Google Scholar 

  • Thissen, D., & Orlando, M. (2001). Item response theory for items scored in two categories. In D. Thissen & H. Wainer (Eds), Test Scoring (pp. 73–140). Mahwah, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Thissen, D., & Wainer, H. (Eds) (2001). Test Scoring. Mahwah, NJ: Lawrence Erlbaum.

    Google Scholar 

  • van der Linden, W.J., & Hambleton, R.K. (Eds) (1997). Handbook of Modern Item Response Theory. New York: Springer.

    MATH  Google Scholar 

  • Vansteelandt, K. (2000). Formal models for contextualized personality psychology. Unpublished doctoral dissertation, K.U.Leuven, Belgium.

    Google Scholar 

  • Verbeke, G., & Molenberghs, G. (2000). Linear Mixed Models for Longitudinal Data. New York: Springer.

    MATH  Google Scholar 

  • Vonesh, E.F., & Chinchilli, V.M. (1997). Linear and Nonlinear Models for the Analysis of Repeated Measurements. New York: Dekker.

    MATH  Google Scholar 

  • Wallenstein, S. (1982). Regression models for repeated measurements. Biometrics, 38, 849–853.

    Article  Google Scholar 

  • Wilson, M. (2005). Constructing Measures: An Item Response Modeling Approach. Mahwah, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Wilson, M., & Adams, R.J. (1992). A multilevel perspective on the ‘two scientific disciplines of psychology’. Paper presented in a Symposium on the Two Scientific Disciplines of Psychology at the XXV International Congress of Psychology, Brussels.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer Science+Business Media New York

About this chapter

Cite this chapter

De Boeck, P., Wilson, M. (2004). A framework for item response models. In: De Boeck, P., Wilson, M. (eds) Explanatory Item Response Models. Statistics for Social Science and Public Policy. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3990-9_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-3990-9_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2323-3

  • Online ISBN: 978-1-4757-3990-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics