Joint Assessment of the Differential Item Functioning and Latent Trait Dimensionality of Students' National Tests
作者： Michela Gnaldi , Francesco Bartolucci , Silvia Bacci
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摘要: AbstractWithin the educational context, students’ assessment tests are routinely vali-dated through Item Response Theory (IRT) models which assume unidimensionalityand absence of Di erential Functioning (DIF). In this paper, we investigate ifsuch assumptions hold for two national administered in Italy to middle schoolstudents June 2009: Italian Test and Mathematics Test. To aim, werely on an extended class multidimensional latent IRT characterisedby: (i) a two-parameter logistic parameterisation conditional probability ofa correct response, (ii) traits represented random vector with dis-crete distribution, (iii) inclusion (uniform) DIF account students’gender geographical area. A classi cation items into unidimensionalgroups is also proposed by dendrogram, obtained froma hierarchical clustering algorithm. The results provide evidence e ects forboth Tests. Besides, assumption unidimensionality strongly rejected forthe Test, whereas it reasonable Test.Keywords: EM algorithm; Hierarchical clustering; Theory; Multi-dimensional variable models; Two-parameter parameterisation.
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Anton K. Formann, Linear Logistic Latent Class Analysis and the Rasch Model Springer, New York, NY. pp. 239- 255 ,(1995) , 10.1007/978-1-4612-4230-7_13
Cees A. W. Glas, Norman D. Verhelst, Testing the Rasch Model G.H. Fischer & J.W. Molenaar (Eds.), Rasch models: Their foundations, recent developments and applications. pp. 69- 95 ,(1995) , 10.1007/978-1-4612-4230-7_5
Norman Verhelst, Testing the unidimensionality assumption of the Rasch model ,(2001)
Jerzy Neyman, On the Two Different Aspects of the Representative Method: the Method of Stratified Sampling and the Method of Purposive Selection Springer Series in Statistics. ,vol. 97, pp. 123- 150 ,(1992) , 10.1007/978-1-4612-4380-9_12
A. Birnbaum, Some latent train models and their use in inferring an examinee's ability Statistical Theories of Mental Test Scores. pp. 395- 479 ,(1968)
Georg Rasch, On General Laws and the Meaning of Measurement in Psychology Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume 4: Contributions to Biology and Problems of Medicine. pp. 321- 333 ,(1961)
Ronald K. Hambleton, Hariharan Swaminathan, Item Response Theory: Principles and Applications ,(1984)
Francesco Bartolucci, A class of multidimensional IRT models for testing unidimensionality and clustering items Psychometrika. ,vol. 72, pp. 141- 157 ,(2007) , 10.1007/S11336-005-1376-9
Brian E. Clauser, Kathleen M. Mazor, Using Statistical Procedures to Identify Differentially Functioning Test Items Educational Measurement: Issues and Practice. ,vol. 17, pp. 31- 44 ,(2005) , 10.1111/J.1745-3992.1998.TB00619.X
A. P. Dempster, N. M. Laird, D. B. Rubin, Maximum Likelihood from Incomplete Data Via theEMAlgorithm Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 39, pp. 1- 22 ,(1977) , 10.1111/J.2517-6161.1977.TB01600.X