Skip to main content

Detection of Mutually Dependent Test Items Using the LCI Test

  • Conference paper
New Frontiers in Artificial Intelligence (JSAI-isAI 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6797))

Included in the following conference series:

  • 973 Accesses

Abstract

Item response theory (IRT) is widely used for test analyses. Most models of IRT assume local independence, meaning that when the ability variables influencing the test performance are held constant, an examinee’s responses to any pair of items are statistically independent. However, many factors might cause local dependence among items. Consequently, conditional independence (CI) tests are needed among items given a latent ability variable. Hashimoto and Ueno (2011) proposed the latent conditional independence (LCI) test. While other CI tests are sensitive to dependencies of items aside from the targets, the LCI test is robust to such dependencies. However, when the two target items affect the same items, the LCI test might fail to detect local independency between the targets. The previous work of Hashimoto and Ueno (2011) is improved on to obtain a more accurate detection method.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

  1. Lord, F.M., Novick, M.R.: Statistical Theories of Mental Test Scores. Addison-Wesley, Reading (1968)

    MATH  Google Scholar 

  2. Rasch, G.: An item analysis which takes individual differences into account. British Journal of Mathematical and Statistical Psychology 19, 49–57 (1966)

    Article  Google Scholar 

  3. Birnbaum, A.: Efficient design and use of tests of a mental ability for various decision-making problems (Series Report 58-16, no.7755-23). USAF School of Aviation Medicine, Randolph Air Force Base, Texas (1957)

    Google Scholar 

  4. Birnbaum, A.: Some latent trait models. In: Load, F.M., Novick, M.R. (eds.) Statistical Theories of Mental Test Scores, pp. 397–424. Addison-Wesley, Reading (1968)

    Google Scholar 

  5. Samejima, F.: Estimation of latent ability using a response pattern of graded scores. Psychometrika Monograph (17) (1969)

    Google Scholar 

  6. Samejima, F.: A general model for free-response data. Psychometrika Monograph (18) (1972)

    Google Scholar 

  7. Masters, G.N.: A Rasch model for partial credit scoring. Psychometrika 35, 43–50 (1982)

    MATH  Google Scholar 

  8. Bock, R.D.: Estimating item parameters and latent ability when responses are scored in two or more nominal categories. Psychometrika 37, 29–51 (1972)

    Article  Google Scholar 

  9. Yen, W.M.: Effects of local item dependence on the fit and equating performance of the three-parameter logistic model. Applied Psychological Measurement 8, 125–145 (1984)

    Article  Google Scholar 

  10. Chen, W.H., Thissen, D.: Local dependence indexes for item pairs using item response theory. Journal of Educational and Behavioral Statistics 22, 265–289 (1997)

    Article  Google Scholar 

  11. Reese, L.M.: The impact of local dependencies on some LSAT outcomes. Law School Admission Council Statistical Report 95(02) (1995)

    Google Scholar 

  12. Sano, M.: Detecting overestimation of discrimination parameter applying mutual information. Japanese Journal for Research on Testing 5, 3–21 (2009)

    Google Scholar 

  13. Sireci, S.G., Thissen, D., Wainer, H.: On the reliability of testlet-based tests. Journal of Educational Measurement 28, 237–247 (1991)

    Article  Google Scholar 

  14. Hashimoto, T., Ueno, M.: Latent conditional independence test using Bayesian network item response theory. IEICE Transactions E94-D(4), 743–753 (2011)

    Article  Google Scholar 

  15. Ueno, M.: An extension of the IRT to a network model. Behaviormetrika 29, 59–79 (2002)

    Article  MathSciNet  Google Scholar 

  16. Wilks, S.S.: Mathematical Statistics, 2nd edn., pp. 355–356. Wiley, Chichester (1962)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hashimoto, T., Ueno, M. (2011). Detection of Mutually Dependent Test Items Using the LCI Test. In: Onada, T., Bekki, D., McCready, E. (eds) New Frontiers in Artificial Intelligence. JSAI-isAI 2010. Lecture Notes in Computer Science(), vol 6797. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25655-4_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25655-4_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25654-7

  • Online ISBN: 978-3-642-25655-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics