메뉴 건너뛰기




Volumn 80, Issue 2, 2015, Pages 289-316

Rasch Trees: A New Method for Detecting Differential Item Functioning in the Rasch Model

Author keywords

DIF; differential item functioning; IRT; item response theory; measurement invariance; model based recursive partitioning; Rasch model; structural change

Indexed keywords

ALGORITHM; FEMALE; HUMAN; MALE; PROCEDURES; PSYCHOLOGIC TEST; PSYCHOMETRY; STATISTICAL MODEL;

EID: 84930576754     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11336-013-9388-3     Document Type: Article
Times cited : (87)

References (53)
  • 1
    • 0000230798 scopus 로고
    • A goodness of fit test for the Rasch model
    • Andersen, E. (1972). A goodness of fit test for the Rasch model. Psychometrika, 38, 123–140.
    • (1972) Psychometrika , vol.38 , pp. 123-140
    • Andersen, E.1
  • 2
    • 0001162133 scopus 로고
    • Tests for parameter instability and structural change with unknown change point
    • Andrews, D.W.K. (1993). Tests for parameter instability and structural change with unknown change point. Econometrica, 61, 821–856.
    • (1993) Econometrica , vol.61 , pp. 821-856
    • Andrews, D.W.K.1
  • 3
    • 39549119406 scopus 로고
    • Gender differences in multiple-choice tests: the role of differential guessing tendencies
    • Ben-Shakhar, G., & Sinai, Y. (1991). Gender differences in multiple-choice tests: the role of differential guessing tendencies. Journal of Educational Measurement, 28(1), 23–35.
    • (1991) Journal of Educational Measurement , vol.28 , Issue.1 , pp. 23-35
    • Ben-Shakhar, G.1    Sinai, Y.2
  • 4
    • 0001670658 scopus 로고
    • Some latent trait models and their use in inferring an examinee’s ability
    • Lord F., Novick M., (eds), Addison-Wesley, Reading
    • Birnbaum, A. (1968). Some latent trait models and their use in inferring an examinee’s ability. In F. Lord & M. Novick (Eds.), Statistical theories of mental test scores, Reading: Addison-Wesley.
    • (1968) Statistical theories of mental test scores
    • Birnbaum, A.1
  • 5
    • 33750533760 scopus 로고    scopus 로고
    • Maximally selected chi-square statistics and binary splits of nominal variables
    • PID: 17094347
    • Boulesteix, A.L. (2006). Maximally selected chi-square statistics and binary splits of nominal variables. Biometrical Journal, 48(5), 838–848.
    • (2006) Biometrical Journal , vol.48 , Issue.5 , pp. 838-848
    • Boulesteix, A.L.1
  • 7
    • 21644481766 scopus 로고    scopus 로고
    • A mixture model analysis of differential item functioning
    • Cohen, A., & Bolt, D. (2005). A mixture model analysis of differential item functioning. Journal of Educational Measurement, 42(3), 133–148.
    • (2005) Journal of Educational Measurement , vol.42 , Issue.3 , pp. 133-148
    • Cohen, A.1    Bolt, D.2
  • 8
    • 1842692307 scopus 로고    scopus 로고
    • Bias correction in classification tree construction
    • Brodley C.E., Danyluk A.P., (eds), Morgan Kaufmann, San Mateo
    • Dobra, A., & Gehrke, J. (2001). Bias correction in classification tree construction. In C.E. Brodley & A.P. Danyluk (Eds.), Proceedings of the seventeenth international conference on machine learning (ICML 2001), Williams College, Williamstown, MA, USA (pp. 90–97). San Mateo: Morgan Kaufmann.
    • (2001) Proceedings of the seventeenth international conference on machine learning (ICML 2001) , pp. 90-97
    • Dobra, A.1    Gehrke, J.2
  • 10
    • 0035998835 scopus 로고    scopus 로고
    • Model-based clustering, discriminant analysis and density estimation
    • Fraley, C., & Raftery, A. (2002). Model-based clustering, discriminant analysis and density estimation. Journal of the American Statistical Association, 97(458), 611–631.
    • (2002) Journal of the American Statistical Association , vol.97 , Issue.458 , pp. 611-631
    • Fraley, C.1    Raftery, A.2
  • 11
    • 84930572384 scopus 로고    scopus 로고
    • Fraley, C., & Raftery, A. (2012). mclust: Model-based clustering/Normal mixture modeling. R package version 3.4.11.
    • Fraley, C., & Raftery, A. (2012). mclust: Model-based clustering/Normal mixture modeling. R package version 3.4.11. http://CRAN.R-project.org/package=mclust.
  • 12
    • 8744313663 scopus 로고    scopus 로고
    • The dimensionality and gender differential item functioning of the mini asthma quality of life questionnaire (MiniAQLQ)
    • Gelin, M., Carleton, B., Smith, M., & Zumbo, B. (2004). The dimensionality and gender differential item functioning of the mini asthma quality of life questionnaire (MiniAQLQ). Social Indicators Research, 68, 91–105.
    • (2004) Social Indicators Research , vol.68 , pp. 91-105
    • Gelin, M.1    Carleton, B.2    Smith, M.3    Zumbo, B.4
  • 17
    • 0038457682 scopus 로고    scopus 로고
    • On the exact distribution of maximally selected rank statistics
    • Hothorn, T., & Lausen, B. (2003). On the exact distribution of maximally selected rank statistics. Computational Statistics & Data Analysis, 43(2), 121–137.
    • (2003) Computational Statistics & Data Analysis , vol.43 , Issue.2 , pp. 121-137
    • Hothorn, T.1    Lausen, B.2
  • 18
    • 56049123665 scopus 로고    scopus 로고
    • Generalized maximally selected statistics
    • PID: 18325074
    • Hothorn, T., & Zeileis, A. (2008). Generalized maximally selected statistics. Biometrics, 64(4), 1263–1269.
    • (2008) Biometrics , vol.64 , Issue.4 , pp. 1263-1269
    • Hothorn, T.1    Zeileis, A.2
  • 20
    • 84988087846 scopus 로고
    • The use of loglinear models for assessing differential item functioning across manifest and latent examinee groups
    • Kelderman, H., & MacReady, G. (1990). The use of loglinear models for assessing differential item functioning across manifest and latent examinee groups. Journal of Educational Measurement, 27(4), 307–327.
    • (1990) Journal of Educational Measurement , vol.27 , Issue.4 , pp. 307-327
    • Kelderman, H.1    MacReady, G.2
  • 21
    • 0026348586 scopus 로고
    • On maximally selected chi-square statistics
    • Koziol, J. (1991). On maximally selected chi-square statistics. Biometrics, 47(4), 1557–1561.
    • (1991) Biometrics , vol.47 , Issue.4 , pp. 1557-1561
    • Koziol, J.1
  • 22
    • 21844508833 scopus 로고
    • More on the computation of higher-order derivatives on the elementary symmetric functions in the Rasch model
    • Liou, M. (1994). More on the computation of higher-order derivatives on the elementary symmetric functions in the Rasch model. Applied Psychological Measurement, 18(1), 53–62.
    • (1994) Applied Psychological Measurement , vol.18 , Issue.1 , pp. 53-62
    • Liou, M.1
  • 23
    • 53349163668 scopus 로고    scopus 로고
    • Fitting a mixture item response theory model to personality questionnaire data: characterizing latent classes and investigating possibilities for improving prediction
    • Maij-de Meij, A., Kelderman, H., & Van der Flier, H. (2008). Fitting a mixture item response theory model to personality questionnaire data: characterizing latent classes and investigating possibilities for improving prediction. Applied Psychological Measurement, 32(8), 611–631.
    • (2008) Applied Psychological Measurement , vol.32 , Issue.8 , pp. 611-631
    • Maij-de Meij, A.1    Kelderman, H.2    Van der Flier, H.3
  • 24
    • 34249889627 scopus 로고    scopus 로고
    • Extended Rasch modeling: the eRm package for the application of IRT models in R
    • 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. http://www.jstatsoft.org/v20/i09/.
    • (2007) Journal of Statistical Software , vol.20
    • Mair, P.1    Hatzinger, R.2
  • 25
    • 84930574929 scopus 로고    scopus 로고
    • Mair, P., Hatzinger, R., & Maier, M. (2012). eRm: extended Rasch modeling. R package version 0.15-0.
    • Mair, P., Hatzinger, R., & Maier, M. (2012). eRm: extended Rasch modeling. R package version 0.15-0. http://CRAN.R-project.org/package=eRm.
  • 26
    • 0017146303 scopus 로고
    • Closed testing procedures with special reference to ordered analysis of variance
    • Marcus, R., Peritz, E., & Gabriel, K. (1976). Closed testing procedures with special reference to ordered analysis of variance. Biometrika, 63(3), 655–660.
    • (1976) Biometrika , vol.63 , Issue.3 , pp. 655-660
    • Marcus, R.1    Peritz, E.2    Gabriel, K.3
  • 27
    • 0000261668 scopus 로고
    • A Rasch model for partial credit scoring
    • Masters, G. (1982). A Rasch model for partial credit scoring. Psychometrika, 47(2), 149–174.
    • (1982) Psychometrika , vol.47 , Issue.2 , pp. 149-174
    • Masters, G.1
  • 28
    • 84930574892 scopus 로고    scopus 로고
    • Merkle, E.C., Fan, J., & Zeileis, A. (2013). Testing for measurement invariance with respect to an ordinal variable. Psychometrika, forthcoming.
    • Merkle, E.C., Fan, J., & Zeileis, A. (2013). Testing for measurement invariance with respect to an ordinal variable. Psychometrika, forthcoming.
  • 29
    • 84872346023 scopus 로고    scopus 로고
    • Tests of measurement invariance without subgroups: a generalization of classical methods
    • PID: 25107518
    • Merkle, E.C., & Zeileis, A. (2013). Tests of measurement invariance without subgroups: a generalization of classical methods. Psychometrika, 78(1), 59–82.
    • (2013) Psychometrika , vol.78 , Issue.1 , pp. 59-82
    • Merkle, E.C.1    Zeileis, A.2
  • 30
    • 0020343311 scopus 로고
    • Maximally selected chi square statistics
    • Miller, R., & Siegmund, D. (1982). Maximally selected chi square statistics. Biometrics, 38(4), 1011–1016.
    • (1982) Biometrics , vol.38 , Issue.4 , pp. 1011-1016
    • Miller, R.1    Siegmund, D.2
  • 31
    • 84948872101 scopus 로고
    • A study of the comparability of external criteria for hierarchical cluster analysis
    • Milligan, G., & Cooper, M. (1986). A study of the comparability of external criteria for hierarchical cluster analysis. Multivariate Behavioral Research, 21(4), 441–458.
    • (1986) Multivariate Behavioral Research , vol.21 , Issue.4 , pp. 441-458
    • Milligan, G.1    Cooper, M.2
  • 32
    • 0001019640 scopus 로고
    • Modeling item responses when different subjects employ different solution strategies
    • Mislevy, R., & Verhelst, N. (1990). Modeling item responses when different subjects employ different solution strategies. Psychometrika, 55(2), 195–215.
    • (1990) Psychometrika , vol.55 , Issue.2 , pp. 195-215
    • Mislevy, R.1    Verhelst, N.2
  • 34
    • 34547966148 scopus 로고    scopus 로고
    • Assessing differential step functioning in polytomous items using a common odds ratio estimator
    • Penfield, D. (2007). Assessing differential step functioning in polytomous items using a common odds ratio estimator. Journal of Educational Measurement, 44(3), 187–210.
    • (2007) Journal of Educational Measurement , vol.44 , Issue.3 , pp. 187-210
    • Penfield, D.1
  • 35
    • 58149119982 scopus 로고    scopus 로고
    • Using a taxonomy of differential step functioning to improve the interpretation of DIF in polytomous items: an illustration
    • Penfield, D., Alvarez, K., & Lee, O. (2009). Using a taxonomy of differential step functioning to improve the interpretation of DIF in polytomous items: an illustration. Applied Measurement in Education, 22(1), 61–78.
    • (2009) Applied Measurement in Education , vol.22 , Issue.1 , pp. 61-78
    • Penfield, D.1    Alvarez, K.2    Lee, O.3
  • 36
    • 33645102618 scopus 로고    scopus 로고
    • Assessment of differential item functioning for demographic comparisons in the MOS SF-36 health survey
    • PID: 16547771
    • Perkins, A., Stump, T., Monahan, P., & McHorney, C. (2006). Assessment of differential item functioning for demographic comparisons in the MOS SF-36 health survey. Quality of Life Research, 15, 331–348.
    • (2006) Quality of Life Research , vol.15 , pp. 331-348
    • Perkins, A.1    Stump, T.2    Monahan, P.3    McHorney, C.4
  • 37
    • 84863304598 scopus 로고    scopus 로고
    • R Foundation for Statistical Computing, Vienna
    • R Development Core Team (2012). R: a language and environment for statistical computing. Vienna: R Foundation for Statistical Computing. ISBN 3-900051-07-0. http://www.R-project.org/.
    • (2012) R: a language and environment for statistical computing
  • 38
    • 0141640977 scopus 로고    scopus 로고
    • A nonlinear mixed model framework for item response theory
    • PID: 12924814
    • Rijmen, F., Tuerlinckx, F., De Boeck, P., & Kuppens, P. (2003). A nonlinear mixed model framework for item response theory. Psychological Methods, 8(2), 185–205.
    • (2003) Psychological Methods , vol.8 , Issue.2 , pp. 185-205
    • Rijmen, F.1    Tuerlinckx, F.2    De Boeck, P.3    Kuppens, P.4
  • 39
    • 84904503941 scopus 로고    scopus 로고
    • ltm: an R package for latent variable modeling and item response analysis
    • Rizopoulos, D. (2006). ltm: an R package for latent variable modeling and item response analysis. Journal of Statistical Software, 17, 5. http://www.jstatsoft.org/v17/i05/.
    • (2006) Journal of Statistical Software , vol.17
    • Rizopoulos, D.1
  • 40
    • 84930577688 scopus 로고    scopus 로고
    • Rizopoulos, D. (2012). ltm: latent trait models under IRT. R package version 0.9-9.
    • Rizopoulos, D. (2012). ltm: latent trait models under IRT. R package version 0.9-9. http://CRAN.R-project.org/package=ltm.
  • 41
    • 84970751365 scopus 로고
    • Rasch models in latent classes: an integration of two approaches to item analysis
    • Rost, J. (1990). Rasch models in latent classes: an integration of two approaches to item analysis. Applied Psychological Measurement, 14(3), 271–282.
    • (1990) Applied Psychological Measurement , vol.14 , Issue.3 , pp. 271-282
    • Rost, J.1
  • 42
    • 1842630388 scopus 로고    scopus 로고
    • A note on split selection bias in classification trees
    • Shih, Y.S. (2004). A note on split selection bias in classification trees. Computational Statistics & Data Analysis, 45(3), 457–466.
    • (2004) Computational Statistics & Data Analysis , vol.45 , Issue.3 , pp. 457-466
    • Shih, Y.S.1
  • 44
    • 34548250123 scopus 로고    scopus 로고
    • Unbiased split selection for classification trees based on the Gini index
    • Strobl, C., Boulesteix, A.L., & Augustin, T. (2007). Unbiased split selection for classification trees based on the Gini index. Computational Statistics & Data Analysis, 52(1), 483–501.
    • (2007) Computational Statistics & Data Analysis , vol.52 , Issue.1 , pp. 483-501
    • Strobl, C.1    Boulesteix, A.L.2    Augustin, T.3
  • 45
    • 72449170109 scopus 로고    scopus 로고
    • An introduction to recursive partitioning: rationale, application and characteristics of classification and regression trees, bagging and random forests
    • PID: 19968396
    • Strobl, C., Malley, J., & Tutz, G. (2009). An introduction to recursive partitioning: rationale, application and characteristics of classification and regression trees, bagging and random forests. Psychological Methods, 14(4), 323–348.
    • (2009) Psychological Methods , vol.14 , Issue.4 , pp. 323-348
    • Strobl, C.1    Malley, J.2    Tutz, G.3
  • 46
    • 79955052335 scopus 로고    scopus 로고
    • Accounting for individual differences in Bradley–Terry models by means of recursive partitioning
    • Strobl, C., Wickelmaier, F., & Zeileis, A. (2011). Accounting for individual differences in Bradley–Terry models by means of recursive partitioning. Journal of Educational and Behavioral Statistics, 36(2), 135–153.
    • (2011) Journal of Educational and Behavioral Statistics , vol.36 , Issue.2 , pp. 135-153
    • Strobl, C.1    Wickelmaier, F.2    Zeileis, A.3
  • 48
    • 29144506244 scopus 로고    scopus 로고
    • Assessing and explaining differential item functioning using logistic mixed models
    • Van den Noortgate, W., & De Boeck, P. (2005). Assessing and explaining differential item functioning using logistic mixed models. Journal of Educational and Behavioral Statistics, 30(4), 443–464.
    • (2005) Journal of Educational and Behavioral Statistics , vol.30 , Issue.4 , pp. 443-464
    • Van den Noortgate, W.1    De Boeck, P.2
  • 49
    • 33747134999 scopus 로고
    • Examining differential item functioning due to item difficulty and alternative attractiveness
    • Westers, P., & Kelderman, H. (1992). Examining differential item functioning due to item difficulty and alternative attractiveness. Psychometrika, 57(1), 107–118.
    • (1992) Psychometrika , vol.57 , Issue.1 , pp. 107-118
    • Westers, P.1    Kelderman, H.2
  • 50
    • 70350238331 scopus 로고    scopus 로고
    • Illustration of MIMIC-model DIF testing with the schedule for nonadaptive and adaptive personality
    • PID: 20442793
    • Woods, C., Oltmanns, T., & Turkheimer, E. (2009). Illustration of MIMIC-model DIF testing with the schedule for nonadaptive and adaptive personality. Journal of Psychopathology and Behavioral Assessment, 31, 320–330.
    • (2009) Journal of Psychopathology and Behavioral Assessment , vol.31 , pp. 320-330
    • Woods, C.1    Oltmanns, T.2    Turkheimer, E.3
  • 51
    • 35348978702 scopus 로고    scopus 로고
    • Generalized m-fluctuation tests for parameter instability
    • Zeileis, A., & Hornik, K. (2007). Generalized m-fluctuation tests for parameter instability. Statistica Neerlandica, 61(4), 488–508.
    • (2007) Statistica Neerlandica , vol.61 , Issue.4 , pp. 488-508
    • Zeileis, A.1    Hornik, K.2
  • 53
    • 84930572566 scopus 로고    scopus 로고
    • Zeileis, A., Strobl, C., Wickelmaier, F., & Kopf, J. (2012). psychotree: recursive partitioning based on psychometric models. R package version 0.12-2.
    • Zeileis, A., Strobl, C., Wickelmaier, F., & Kopf, J. (2012). psychotree: recursive partitioning based on psychometric models. R package version 0.12-2. http://CRAN.R-project.org/package=psychotree.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.