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Item Response Theory Models in the Measurement Theory with the Use of ltm Package in R


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Andrich D., 1978, Application of a psychometric rating model to ordered categories which are scored with successive integers, Applied Psychological Measurement, 2, pp. 581-594.10.1177/014662167800200413Open DOISearch in Google Scholar

Bates D.M., 2008, Fitting mixed-effects models using the lme4 package in R, http://www.stat.wisc.edu/~bates/PotsdamGLMM/LMMD.pdf.Search in Google Scholar

Barton M.A., Lord F.M., 1981, An upper asymptote for the three-parameter logistic item-response model, Princeton, NJ: Educational Testing Service.10.1002/j.2333-8504.1981.tb01255.xSearch in Google Scholar

Birnbaum A., 1957, Efficient design and use of tests of a mental ability for various decision making problems, Series Rep., no. 58-16, project no. 7755-23, Randolph Air Force Base, Tx: USAF School of Aviation Medicine.Search in Google Scholar

Birnbaum A., 1958, On the estimation of mental ability, Series Rep., no. 15, project no. 7755-23, Randolph Air Force Base, Tx: USAF School of Aviation Medicine.Search in Google Scholar

Birnbaum A., 1968, Some Latent Trait Models, [in:] Lord F.M., Novick M.R. (eds.), Statistical Theories of Mental Test Scores, Reading, MA: Addison-Wesley.Search in Google Scholar

Bock R.D., 1972, Estimating item parameters and latent ability when responses are scored in two or more nominal categories, Psychometrika, 37, pp. 29-51.10.1007/BF02291411Search in Google Scholar

Chalmers R.P., 2012, mirt: A Multidimensional Item Response theory package for the R environment, Journal of Statistical Software, 48 (6), pp. 1-29.10.18637/jss.v048.i06Open DOISearch in Google Scholar

Chen W.-H., Thissen D., 1997, Local independence indexes for item pairs using item response theory, Journal of Education and Behavioral Statistics, 22, pp. 114-142.10.2307/1165285Search in Google Scholar

DeBoeck P., Wilson M., 2004, Explanatory Item Response Models, Springer-Verlag, New York.10.1007/978-1-4757-3990-9Search in Google Scholar

DeMars C., 2010, Item Response Theory. Understanding Statistics Measurement, Oxford University Press.10.1093/acprof:oso/9780195377033.001.0001Search in Google Scholar

Doran H., 2010, MiscPsycho: Miscellaneous Psychometric Analyses, http://CRAN.R-project.org/package-MiscPsycho.Search in Google Scholar

Doran H., Bates D., Bliese P., 2007, Estimating the Multilevel Rasch model: With the lme4 Package, Journal of Statistical Software, 20 (2), pp. 1-18.10.18637/jss.v020.i02Open DOISearch in Google Scholar

Gulliksen H., 1950, Theory of Mental Tests, Harold Gulliksen, Wiley, London, Chapman & Hall, New York.10.1037/13240-000Search in Google Scholar

Hambleton R.K., Swaminathan H., 1985, Item Response Theory: Principles and Applications, Kluwer, Boston.10.1007/978-94-017-1988-9Search in Google Scholar

Hattie J., 1984, An empirical study of various indices for detecting unidimensionality, Multivariate Behavioral Research, 19, pp. 49-78.10.1207/s15327906mbr1901_3Open DOISearch in Google Scholar

Lord F.M., 1974, Estimation of latent ability and item parameters when there are omitted responses, Psychometrika, 39, pp. 247-264.10.1007/BF02291471Search in Google Scholar

Lord F.M., 1974, The relative efficiency of two tests as a function of ability level, Psychometrika, 39, 351-358.10.1007/BF02291708Search in Google Scholar

Lord F.M., Novick M.R., 1968, Statistical Theories of Mental Test Scores, Reading, Addison-Wesley.Search in Google Scholar

Mair P., Hatzinger R., 2007, Extended Rasch modeling: The eRm package for the application of IRT models in R, Journal of Statistical Software, 20(9), pp. 1-20.10.18637/jss.v020.i09Open DOISearch in Google Scholar

McDonald R.P., 1967, Nonlinear factor analysis, Psychometric Monographs 15, Chicago, University of Chicago Press.Search in Google Scholar

McGrath K., Waterton J., 1986, British Social Attitudes, 1983-86 Panel Survey, SCPR, London.Search in Google Scholar

Rasch G., 1960, Probabilistic Models for Some Intelligence and Attainment Tests, Danish Institute for Educational Research, Copenhagen, The University of Chicago Press, Chicago.Search in Google Scholar

Reckase M.D., 2009, Multidimensional Item Response Theory, Springer-Verlag, New York.10.1007/978-0-387-89976-3Search in Google Scholar

Rizopoulos D., 2006, ltm: An R package for latent variable modelling and item response theory, Journal of Statistical Software, 17 (5), pp. 1-25.10.18637/jss.v017.i05Open DOISearch in Google Scholar

Robitzsch A., Kiefer T., Wu M., 2017, TAM: Test analysis modules. R package version 2, https://CRAN.R-project.org/package=TAM, pp. 7-56, access: 3.11.2017.Search in Google Scholar

Samejima F., 1969, Estimation of latent ability using a response pattern of graded scores, Psychometrika. Monograph Supplement, 34, 4.10.1007/BF03372160Open DOISearch in Google Scholar

Tate R., 2003, A comparison of selected empirical methods for assessing the structure of responses to test items, Applied Psychological Measurement, 27, pp. 159-203.10.1177/0146621603027003001Open DOISearch in Google Scholar

Van der Ark L.A., 2010, Getting started with Mokken scale analysis in R, unpublished manuscript, https://sites.google.com/a/tilburguniversity.edu/avdrark/mokken.Search in Google Scholar

Weeks J., 2010, plink: An R Package for Linking Mixed-Format Tests Using IRT-Based Methods, Journal of Statistical Software, 35 (12), pp. 1-33.10.18637/jss.v035.i12Search in Google Scholar

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, pp. 125-145.10.1177/014662168400800201Search in Google Scholar

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