243
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Item response theory models in the measurement theory

ORCID Icon
Pages 3299-3313 | Received 07 Dec 2017, Accepted 31 Oct 2018, Published online: 26 Dec 2018

References

  • Andrich, D. 1978. Application of a psychometric rating model to ordered categories which are scored with succesive integers. Applied Psychological Measurement 2 (4):581–94.
  • Bates, D. M. 2008. Fitting mixed-effects models using the lme4 package in R. Accessed October 16, 2018. http://www.stat.wisc.edu/bates/PotsdamGLMM/LMMD.pdf.
  • Barton, M. A., and F. M. Lord. 1981. An upper asymptote for the three-parameter logistic item-response model. Princeton, NJ: Educational Testing Service.
  • Birnbaum, A. 1957. Efficient design and use of tests of a mental ability for various decision making problems. Series Report No.58–16. Project No. 7755–23. USAF School of Aviation Medicine, Randolph Air Force Base, Texas.
  • Birnbaum, A. 1958. On the estimation of mental ability. Series Report No.15. Project No. 7755–23. USAF School of Aviation Medicine, Randolph Air Force Base, Texas.
  • Birnbaum, A. 1968. Some latent trait models. In Statistical theories of mental test scores, ed. F. M. Lord and M.R. Novick. Reading, MA: Addison-Wesley.
  • Bock, R. D. 1972. Estimating item parameters and latent ability when responses are scored in two or more nominal categories. Psychometrika 37:29–51.
  • Chalmers, R. P. 2012. Mirt: A multidimensional item response theory package for the R environment. Journal of Statistical Software 48 (6):1–29.
  • Chen, W.-H., and D. Thissen. 1997. Local independence indexes for item pairs using item response theory. Journal of Education and Behavioral Statistics 22:114–42.
  • Christensen, K. B., and M. Olsbjerg. 2013. Marginal maximum likelihood estimation in polytomous Rasch models using SAS. Pub. Inst. Stat. Univ. Paris 57:69–84.
  • Christensen, K. B., G. Makransky, and M. Horton. 2017. Critical values for Yen’s Q3: Identification of local dependence in the Rasch model using residual correlations. Applied Psychological Measurement 41 (3):178–94.
  • DeBoeck, P., and M. Wilson. 2004. Explanatory item response models. New York: Springer-Verlag.
  • DeMars, C. 2010. Item response theory. Understanding statistics measurement. New York, NY: Oxford University Press.
  • Doran, H., D. Bates, and P. P. Bliese. 2007. Estimating the multilevel Rasch model: with the lme4 package. Journal of Statistical Software 20 (2):1–18.
  • Doran, H. 2010. MiscPsycho: Miscalleaneous Psychometric Analyses. Accessed October 16, 2018. http://CRAN.R-project.org/package-MiscPsycho.
  • Gulliksen, H. 1950. Theory of mental tests. Harold Gulliksen, New York: Wiley; London: Chapman & Hall.
  • Hambleton, R. K., and H. Swaminathan. 1985. Item response theory: Principles and applications. Boston: Kluwer.
  • Hardouin, J. B., and M. Mesbah. 2007. The SAS macro-program %AnaQol to estimate the parameters of IRT models. Communications in Statistics - Simulation and Computation 36 (2):437–53.
  • Hattie, J. 1984. An empirical study of various indices for detecting unidimensionality. Multivariate Behavioral Research 19 (1):49–78.
  • Lord, F. M., and M. R. Novick. 1968. Statistical theories of mental test scores. Reading, MA: Addison-Wesley.
  • Mair, P., and R. Hatzinger. 2007. Extended Rasch modeling: the eRm package for the application of IRT models in R. Journal of Statistical Software 20 (9):1–20.
  • McDonald, R. P. 1967. Nonlinear factor analysis. Psychometric monographs 15. Chicago, IL: University of Chicago Press.
  • Lord, F. M. 1974. Estimation of latent ability and item parameters when there are omited responses. Psychometrika 39 (2):247–64.
  • McGrath, K., and J. Waterton. 1986. British social attitudes, 1983–86 panel survey. London: SCPR.
  • Rasch, G. 1960. Probabilistic models for some intelligence and attainment tests. Copenhagen, Danish Institute for Educational Research. Chicago: The University of Chicago Press.
  • Rizopoulos, D. 2006. Ltm: An R package for latent variable modelling and item response theory. Journal of Statistical Software 17 (5):1–25.
  • Samejima, F. 1969. Estimation of latent ability using a response pattern of graded scores. Psychometrika Monograph Supplement 34 (4):Part 2.
  • Reckase, M. D. 2009. Multidimensional item response theory. New York: Springer-Verlag.
  • Tate, R. 2003. A comparison of selected empirical methods for assessing the structure of responses to test items. Applied Psychological Measurement 27 (3):159–203.
  • Weeks, J. 2010. Plink: An R package for linking mixed-format tests using IRT-Based methods. Journal of Statistical Software 35 (12):1–33.
  • Van der Ark, L. A. 2010. Getting started with Mokken scale analysis in R. Unpublished manuscript. Accessed October 16, 2018. https://sites.google.com/a/tilburguniversity.edu/avdrark/mokken.
  • Yen, W. M. 1984. Effects of local item dependence on the fit and equating performance of the three-parameter logistic model. Applied Psychological Measurement 8 (2):125–45.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.