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.
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
Lord, F.M., Novick, M.R.: Statistical Theories of Mental Test Scores. Addison-Wesley, Reading (1968)
Rasch, G.: An item analysis which takes individual differences into account. British Journal of Mathematical and Statistical Psychology 19, 49–57 (1966)
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)
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)
Samejima, F.: Estimation of latent ability using a response pattern of graded scores. Psychometrika Monograph (17) (1969)
Samejima, F.: A general model for free-response data. Psychometrika Monograph (18) (1972)
Masters, G.N.: A Rasch model for partial credit scoring. Psychometrika 35, 43–50 (1982)
Bock, R.D.: Estimating item parameters and latent ability when responses are scored in two or more nominal categories. Psychometrika 37, 29–51 (1972)
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)
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)
Reese, L.M.: The impact of local dependencies on some LSAT outcomes. Law School Admission Council Statistical Report 95(02) (1995)
Sano, M.: Detecting overestimation of discrimination parameter applying mutual information. Japanese Journal for Research on Testing 5, 3–21 (2009)
Sireci, S.G., Thissen, D., Wainer, H.: On the reliability of testlet-based tests. Journal of Educational Measurement 28, 237–247 (1991)
Hashimoto, T., Ueno, M.: Latent conditional independence test using Bayesian network item response theory. IEICE Transactions E94-D(4), 743–753 (2011)
Ueno, M.: An extension of the IRT to a network model. Behaviormetrika 29, 59–79 (2002)
Wilks, S.S.: Mathematical Statistics, 2nd edn., pp. 355–356. Wiley, Chichester (1962)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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)