Skip to main content

Investigating Constraint-Weighted Item Selection Procedures in Unfolding CAT

  • Conference paper
Quantitative Psychology (IMPS 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 196))

Included in the following conference series:

  • 1285 Accesses

Abstract

Computerized adaptive testing (CAT) cannot only enable efficient and precise ability estimation but also increase security of testing materials. To meet a large number of statistical and nonstatistical constraints in CAT, the maximum priority index approaches can be used to handle these constraints simultaneously and efficiently for the construction of assessments. Many previous CAT studies were investigated for dominance items; however, only few CAT studies were investigated for unfolding items. In practice, an attitude measurement or personality test, such as the Minnesota Multiphasic Personality Inventory-2 or Cattell’s 16 Personality Factors Test, might fit better with the unfolding models than with the dominance ones. Besides, these tests commonly have hundreds of items from complex structures. Therefore, the purpose of this study was to investigate constraint-weighted item selection procedures in unfolding CAT. It was found that the maximum priority index was implemented with the Fisher information, the interval information, and the posterior expected Kullback-Leibler information successfully in unfolding CAT. These three item information criteria had similar performance in terms of measurement precision, exposure control, and constraint management. The generalized graded unfolding model and the two-parameter logistic model had similar performance in item selection.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

References

  • D. Andrich, A general hyperbolic cosine latent trait model for unfolding polytomous responses: reconciling the Thurstone and Likert methodologies. Br. J. Math. Stat. Psychol. 49, 347–365 (1996)

    Article  MathSciNet  Google Scholar 

  • A. Birnbaum, in Statistical theories of mental test scores, ed. by F. M. Lord, M. R. Novick. Some latent trait models and their use in inferring an examinees’ ability (Addison-Wesley, Reading, MA, 1968), pp. 397–479

    Google Scholar 

  • H.-H. Chang, J. Qian, Z. Ying, a-stratified multistage CAT with b-blocking. Appl. Psychol. Meas. 25, 333–341 (2001)

    Article  MathSciNet  Google Scholar 

  • H.-H. Chang, W.J. van der Linden, Optimal stratification of item pools in alpha-stratified computerized adaptive testing. Appl. Psychol. Meas. 27, 262–274 (2003)

    Article  MathSciNet  Google Scholar 

  • H.-H. Chang, Z. Ying, A global information approach to computerized adaptive testing. Appl. Psychol. Meas. 20, 213–229 (1996)

    Article  Google Scholar 

  • H.-H. Chang, Z. Ying, a-stratified multistage computerized adaptive testing. Appl. Psychol. Meas. 23, 211–222 (1999)

    Article  Google Scholar 

  • Y. Cheng, H.-H. Chang, The maximum priority index method for severely constrained item selection in computerized adaptive testing. Br. J. Math. Stat. Psychol. 62, 369–383 (2009)

    Article  MathSciNet  Google Scholar 

  • Y. Cheng, H.-H. Chang, J. Douglas, F. Guo, Constraint-weighted a-stratification for computerized adaptive testing with nonstatistical constraints: balancing measurement efficiency and exposure control. Educ. Psychol. Meas. 69, 35–49 (2009)

    Article  MathSciNet  Google Scholar 

  • S.W. Choi, M. Grady, B.G. Dodd, A new stopping rule for computerized adaptive testing. Educ. Psychol. Meas. 71, 37–73 (2011)

    Article  Google Scholar 

  • B.G. Dodd, R.J. De Ayala, W.R. Koch, Computerized adaptive testing with polytomous items. Appl. Psychol. Meas. 19, 5–22 (1995)

    Article  Google Scholar 

  • B.G. Dodd, W.R. Koch, R.J. De Ayala, Operational characteristics of adaptive testing procedures using the graded response model. Appl. Psychol. Meas. 13, 129–143 (1989)

    Article  Google Scholar 

  • B.G. Dodd, W.R. Koch, R.J. De Ayala, Computerized adaptive testing using the partial credit model: effects of item pool characteristics and different stopping rules. Educ. Psychol. Meas. 53, 61–77 (1993)

    Article  Google Scholar 

  • M.D. Reckase, Multidimensional Item Response Theory (Springer, New York, NY, 2009)

    Book  Google Scholar 

  • J.S. Roberts, Item response theory approaches to attitude measurement (Doctoral dissertation, University of South Carolina, Columbia, 1995). Dissertation Abstracts International, 56, 7089B, 1995

    Google Scholar 

  • J.S. Roberts, J.R. Donoghue, J.E. Laughlin, A generalized item response model for unfolding responses from a graded scale. Paper presented at the 61st annual meeting of the Psychometric Society, Banff, Alberta, Canada, 1996

    Google Scholar 

  • J.S. Roberts, J.R. Donoghue, J.E. Laughlin, The Generalized Graded Unfolding Model: A General Parametric Item Response Model for Unfolding Graded Responses (Research Report No. RR-98-32) (Educational Testing Service, Princeton NJ, 1998)

    Google Scholar 

  • J.S. Roberts, J.R. Donoghue, J.E. Laughlin, A general model for unfolding unidimensional polytomous responses using item response theory. Appl. Psychol. Meas. 24, 3–32 (2000)

    Article  Google Scholar 

  • J.S. Roberts, J.E. Laughlin, D.H. Wedell, Validity issues in the Likert and Thurstone approaches to attitude measurement. Educ. Psychol. Meas. 59, 211–233 (1999)

    Article  Google Scholar 

  • J.S. Roberts, Y. Lin, J.E. Laughlin, Computerized adaptive testing with the generalized graded unfolding model. Appl. Psychol. Meas. 25, 177–196 (2001)

    Article  MathSciNet  Google Scholar 

  • Y.-H. Su, in Quantitative Psychology Research, ed. by L. A. van der Ark, D. M. Bolt, W.-C. Wang, J. A. Douglas, S.-M. Chow. The performance of the modified multidimensional priority index for item selection in variable-length MCAT, vol 140 (Springer, Cham, 2015), pp. 89–97

    Chapter  Google Scholar 

  • Y.-H. Su, A comparison of constrained item selection methods in multidimensional computerized adaptive testing. Appl. Psychol. Meas. 40(5), 346–360 (2016). doi:10.1177/0146621616639305

    Article  Google Scholar 

  • Y.-H. Su, Y.-L. Huang, in Quantitative Psychology Research, ed. by R. E. Millsap, D. M. Bolt, L. A. van der Ark, W.-C. Wang. Using a modified multidimensional priority index for item selection under within-item multidimensional computerized adaptive testing, vol 89 (Springer, Cham, 2015), pp. 227–242

    Google Scholar 

  • W.J. van der Linden, Bayesian item selection criteria for adaptive testing. Psychometrika 63, 201–216 (1998)

    Article  MathSciNet  Google Scholar 

  • P.W. van Rijn, T.J.H.M. Eggn, B.T. Hemker, P.F. Sanders, Evaluation of selection procedures for computerized adaptive testing with polytomous items. Appl. Psychol. Meas. 26, 393–411 (2002)

    Article  MathSciNet  Google Scholar 

  • W.J.J. Veerkamp, M.P.F. Berger, Some new item selection criteria for adaptive testing. J. Educ. Behav. Stat. 22, 203–226 (1997)

    Article  Google Scholar 

  • B.P. Veldkamp, W.J. van der Linden, Multidimensional adaptive testing with constraints on test content. Psychometrika 67, 575–588 (2002)

    Article  MathSciNet  Google Scholar 

  • H. Wainer (ed.), Computerized Adaptive Testing: A Primer, 2nd edn. (Erlbaum, Mahwah, NJ, 2000)

    Google Scholar 

  • L. Yao, Multidimensional CAT item selection procedures with item exposure control and content constraints. Paper presented at the International Association of Computer Adaptive Testing (IACAT) Conference, Pacific Grove, CA, 2011

    Google Scholar 

  • L. Yao, Multidimensional CAT item selection methods for domain scores and composite scores: theory and applications. Psychometrika 77, 495–523 (2012)

    Article  MathSciNet  Google Scholar 

  • L. Yao, Comparing the performance of five multidimensional CAT selection procedures with different stopping rules. Appl. Psychol. Meas. 37, 3–23 (2013)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ya-Hui Su .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Su, YH. (2017). Investigating Constraint-Weighted Item Selection Procedures in Unfolding CAT. In: van der Ark, L.A., Wiberg, M., Culpepper, S.A., Douglas, J.A., Wang, WC. (eds) Quantitative Psychology. IMPS 2016. Springer Proceedings in Mathematics & Statistics, vol 196. Springer, Cham. https://doi.org/10.1007/978-3-319-56294-0_29

Download citation

Publish with us

Policies and ethics