메뉴 건너뛰기




Volumn 64, Issue 3, 1999, Pages 273-294

Modification indices for the 2-PL and the nominal response model

Author keywords

2 parameter logistic model; Efficient score test; Generalized partial credit model; Item response theory; Lagrange multiplier test; Model fit; Modification indices; Nominal response model

Indexed keywords


EID: 0033246017     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02294296     Document Type: Review
Times cited : (114)

References (58)
  • 1
    • 38249037452 scopus 로고
    • An empirical investigation of some effects of sparseness in contingency tables
    • Agresti, A., & Yang, M. (1987). An empirical investigation of some effects of sparseness in contingency tables. Computational Statistics and Data Analysis, 5, 9-21.
    • (1987) Computational Statistics and Data Analysis , vol.5 , pp. 9-21
    • Agresti, A.1    Yang, M.2
  • 2
    • 0001091851 scopus 로고
    • Maximum likelihood estimation of parameters subject to restraints
    • Aitchison, J., & Silvey, S.D. (1958). Maximum likelihood estimation of parameters subject to restraints. Annals of Mathematical Statistics, 29, 813-828.
    • (1958) Annals of Mathematical Statistics , vol.29 , pp. 813-828
    • Aitchison, J.1    Silvey, S.D.2
  • 3
    • 0001248506 scopus 로고
    • Bayesian estimation of normal ogive item response functions using Gibbs sampling
    • Albert, J.H. (1992). Bayesian estimation of normal ogive item response functions using Gibbs sampling. Journal of Educational Statistics, 17, 251-269.
    • (1992) Journal of Educational Statistics , vol.17 , pp. 251-269
    • Albert, J.H.1
  • 4
    • 0000230798 scopus 로고
    • A goodness of for test for the Rasch model
    • Andersen, E.B. (1973). A goodness of for test for the Rasch model. Psychometrika, 38, 123-140.
    • (1973) Psychometrika , vol.38 , pp. 123-140
    • Andersen, E.B.1
  • 5
    • 0009147362 scopus 로고
    • Estimating latent correlations between repeated testings
    • Andersen, E.B. (1985). Estimating latent correlations between repeated testings. Psychometrika, 50, 3-16.
    • (1985) Psychometrika , vol.50 , pp. 3-16
    • Andersen, E.B.1
  • 6
    • 84947399129 scopus 로고
    • Bayesian analysis of the independent normal process-neither mean nor precision known
    • Ando, A., & Kaufmann, O.M. (1965). Bayesian analysis of the independent normal process-neither mean nor precision known. Journal of the American Statistical Association, 60, 347-358.
    • (1965) Journal of the American Statistical Association , vol.60 , pp. 347-358
    • Ando, A.1    Kaufmann, O.M.2
  • 7
    • 0032390589 scopus 로고    scopus 로고
    • An investigation of item parameter recovery characteristics of a Gibbs sampling procedure
    • Baker, F.B. (1998). An investigation of item parameter recovery characteristics of a Gibbs sampling procedure. Applied Psychological Measurement, 22, 153-169.
    • (1998) Applied Psychological Measurement , vol.22 , pp. 153-169
    • Baker, F.B.1
  • 8
    • 0001670659 scopus 로고
    • Some latent trait models
    • F.M. Lord & M.R. Novick (Eds.). Reading, MA: Addison-Wesley
    • Birnbaum, A. (1968). Some latent trait models. In F.M. Lord & M.R. Novick (Eds.), Statistical theories of mental test scores (pp.395-479). Reading, MA: Addison-Wesley.
    • (1968) Statistical Theories of Mental Test Scores , pp. 395-479
    • Birnbaum, A.1
  • 9
    • 0003009098 scopus 로고
    • Estimating item parameters and latent ability when responses are scored in two or more nominal categories
    • Bock, R.D. (1972). Estimating item parameters and latent ability when responses are scored in two or more nominal categories. Psychometrika, 37, 29-51.
    • (1972) Psychometrika , vol.37 , pp. 29-51
    • Bock, R.D.1
  • 10
    • 0000433590 scopus 로고
    • Marginal maximum likelihood estimation of item parameters: An application of an EM-algorithm
    • Bock, R.D., & Aitkin, M. (1981). Marginal maximum likelihood estimation of item parameters: an application of an EM-algorithm. Psychometrika, 46, 443-459.
    • (1981) Psychometrika , vol.46 , pp. 443-459
    • Bock, R.D.1    Aitkin, M.2
  • 11
    • 84897079438 scopus 로고
    • The Lagrange multiplier test and its applications to model specification in econometrics
    • Breusch, T.S., & Pagan, A.R. (1980). The Lagrange multiplier test and its applications to model specification in econometrics. Review of Economic Studies, 47, 239-254.
    • (1980) Review of Economic Studies , vol.47 , pp. 239-254
    • Breusch, T.S.1    Pagan, A.R.2
  • 12
    • 0001024874 scopus 로고
    • The likelihood ratio, Wald, and Lagrange multiplier tests: An expository note
    • Buse, A. (1982). The likelihood ratio, Wald, and Lagrange multiplier tests: An expository note. The American Statistician, 36, 153-157.
    • (1982) The American Statistician , vol.36 , pp. 153-157
    • Buse, A.1
  • 13
    • 0009145267 scopus 로고
    • (CSE report No. 197). Los Angeles, CA: University of California, Center for Study of Evaluation, Graduate School of Education
    • Choppin, B. (1983). A two-parameter latent trait model (CSE report No. 197). Los Angeles, CA: University of California, Center for Study of Evaluation, Graduate School of Education.
    • (1983) A Two-parameter Latent Trait Model
    • Choppin, B.1
  • 14
    • 0001423343 scopus 로고
    • Maximum likelihood estimation in generalized Rasch models
    • de Leeuw, J., & Verhelst, N. D. (1986). Maximum likelihood estimation in generalized Rasch models. Journal of Educational Statistics, 11, 183-196.
    • (1986) Journal of Educational Statistics , vol.11 , pp. 183-196
    • De Leeuw, J.1    Verhelst, N.D.2
  • 16
    • 0009147363 scopus 로고
    • Consistent estimation in the Rasch model based on nonparametric margins
    • Follmann, D. (1988). Consistent estimation in the Rasch model based on nonparametric margins. Psychometrika, 53, 553-562.
    • (1988) Psychometrika , vol.53 , pp. 553-562
    • Follmann, D.1
  • 18
    • 0000895222 scopus 로고
    • The derivation of some tests for the Rasch model from the multinomial distribution
    • Glas, C.A.W. (1988). The derivation of some tests for the Rasch model from the multinomial distribution. Psychometrika, 53, 525-546.
    • (1988) Psychometrika , vol.53 , pp. 525-546
    • Glas, C.A.W.1
  • 19
    • 0009284919 scopus 로고
    • A Rasch model with a multivariate distribution of ability
    • M. Wilson, (Ed.), New Jersey: Ablex Publishing Co.
    • Glas, C.A.W. (1992). A Rasch model with a multivariate distribution of ability. In M. Wilson, (Ed.), Objective measurement: Theory into practice, Vol. 1. (pp.236-258) New Jersey: Ablex Publishing Co.
    • (1992) Objective Measurement: Theory into Practice , vol.1 , pp. 236-258
    • Glas, C.A.W.1
  • 20
    • 0009149342 scopus 로고    scopus 로고
    • Testing the generalized partial credit model
    • M. Wilson, G. Engelhard, Jr., & K. Draney (Eds.). New Jersey: Ablex Publishing Co.
    • Glas, C.A.W. (1997). Testing the generalized partial credit model. In M. Wilson, G. Engelhard, Jr., & K. Draney (Eds.), Objective measurement: Theory into practice, Vol. 4. New Jersey: Ablex Publishing Co.
    • (1997) Objective Measurement: Theory into Practice , vol.4
    • Glas, C.A.W.1
  • 21
    • 0032360963 scopus 로고    scopus 로고
    • Detection of differential item functioning using Lagrange multiplier tests
    • Glas, C.A.W. (1998). Detection of differential item functioning using Lagrange multiplier tests. Statistica Sinica, 8, 647-667.
    • (1998) Statistica Sinica , vol.8 , pp. 647-667
    • Glas, C.A.W.1
  • 22
    • 0001112349 scopus 로고
    • Extensions of the partial credit model
    • Glas, C.A.W., & Verhelst, N.D. (1989). Extensions of the partial credit model. Psychometrika, 54, 635-659.
    • (1989) Psychometrika , vol.54 , pp. 635-659
    • Glas, C.A.W.1    Verhelst, N.D.2
  • 24
    • 0001442462 scopus 로고
    • Two-group classification in item response theory: Scores with monotone likelihood ratio
    • Grayson, D.A. (1988). Two-group classification in item response theory: Scores with monotone likelihood ratio. Psychometrika, 53, 383-392.
    • (1988) Psychometrika , vol.53 , pp. 383-392
    • Grayson, D.A.1
  • 25
    • 0030367038 scopus 로고    scopus 로고
    • Polytomous IRT models and monotone likelihood ratio of the total score
    • Hemker, B.T., Sijtsma, K., Molenaar, I.W. & Junker, B.W. (1996). Polytomous IRT models and monotone likelihood ratio of the total score. Psychometrika, 61, 679-693.
    • (1996) Psychometrika , vol.61 , pp. 679-693
    • Hemker, B.T.1    Sijtsma, K.2    Molenaar, I.W.3    Junker, B.W.4
  • 26
    • 0000613292 scopus 로고
    • Conditional association and unidimensionality in monotone latent variable models
    • Holland, P.W., & Rosenbaum, P.R. (1986). Conditional association and unidimensionality in monotone latent variable models. Annals of Statistics, 14, 1523-1543.
    • (1986) Annals of Statistics , vol.14 , pp. 1523-1543
    • Holland, P.W.1    Rosenbaum, P.R.2
  • 27
    • 21344496332 scopus 로고
    • A new proof for monotone likelihood ratio for the sum of independent bernoulli random variables
    • Huynh, H. (1994). A new proof for monotone likelihood ratio for the sum of independent bernoulli random variables. Psychometrika, 59, 77-79.
    • (1994) Psychometrika , vol.59 , pp. 77-79
    • Huynh, H.1
  • 28
    • 0000298052 scopus 로고
    • Conjunctive item response theory kernels
    • Jannarone, R.J. (1986). Conjunctive item response theory kernels. Psychometrika, 51, 357-373.
    • (1986) Psychometrika , vol.51 , pp. 357-373
    • Jannarone, R.J.1
  • 29
    • 0000084223 scopus 로고
    • Essential independence and likelihood-based ability estimation for polytomous items
    • Junker, B. (1991). Essential independence and likelihood-based ability estimation for polytomous items. Psychometrika, 56, 255-278.
    • (1991) Psychometrika , vol.56 , pp. 255-278
    • Junker, B.1
  • 30
    • 0001616711 scopus 로고
    • Loglinear Rasch model tests
    • Kelderman, H. (1984). Loglinear Rasch model tests. Psychometrika, 49, 223-245.
    • (1984) Psychometrika , vol.49 , pp. 223-245
    • Kelderman, H.1
  • 31
    • 33847462821 scopus 로고
    • Item bias detection using loglinear IRT
    • Kelderman, H. (1989). Item bias detection using loglinear IRT. Psychometrika, 54, 681-697.
    • (1989) Psychometrika , vol.54 , pp. 681-697
    • Kelderman, H.1
  • 32
    • 84919284410 scopus 로고
    • Goodness-of-fit tests for loglinear models in sparse contingency tables
    • Koehler, K. (1986). Goodness-of-fit tests for loglinear models in sparse contingency tables. Journal of the American Statistical Association, 81, 483-493.
    • (1986) Journal of the American Statistical Association , vol.81 , pp. 483-493
    • Koehler, K.1
  • 33
    • 84924532810 scopus 로고
    • An empirical investigation of goodness-of-fit statistics for sparse multinomials
    • Koehler, K., & Larntz, K. (1980). An empirical investigation of goodness-of-fit statistics for sparse multinomials. Journal of the American Statistical Association, 75, 336-344.
    • (1980) Journal of the American Statistical Association , vol.75 , pp. 336-344
    • Koehler, K.1    Larntz, K.2
  • 34
    • 84950665320 scopus 로고
    • Small-sample comparison of exact levels for goodness-of-fit statistics
    • Larntz, K. (1978). Small-sample comparison of exact levels for goodness-of-fit statistics. Journal of the American Statistical Association, 73, 253-263.
    • (1978) Journal of the American Statistical Association , vol.73 , pp. 253-263
    • Larntz, K.1
  • 35
    • 0001044972 scopus 로고
    • Finding the observed information matrix when using the EM algorithm
    • Louis, T.A. (1982). Finding the observed information matrix when using the EM algorithm. Journal of the Royal Statistical Society, Series B, 44, 226-233.
    • (1982) Journal of the Royal Statistical Society, Series B , vol.44 , pp. 226-233
    • Louis, T.A.1
  • 38
    • 0002256326 scopus 로고
    • The notion of redundancy and its use as a quantitative measure if the discrepancy between a statistical hypothesis and a set of observational data
    • Martin Löf, P. (1974). The notion of redundancy and its use as a quantitative measure if the discrepancy between a statistical hypothesis and a set of observational data. Scandinavian Journal of Statistics, 1, 3-18.
    • (1974) Scandinavian Journal of Statistics , vol.1 , pp. 3-18
    • Martin Löf, P.1
  • 40
    • 0001266277 scopus 로고    scopus 로고
    • Normal-ogive multidimensional model
    • W.J. van der Linden & R. K. Hambleton (Eds.). New York: Springer
    • McDonald, R.P. (1997). Normal-ogive multidimensional model. In W.J. van der Linden & R. K. Hambleton (Eds.), Handbook of modern item response theory, (pp. 257-269). New York: Springer.
    • (1997) Handbook of Modern Item Response Theory , pp. 257-269
    • McDonald, R.P.1
  • 41
    • 34250131877 scopus 로고
    • Bayes modal estimation in item response models
    • Mislevy, R.J. (1986). Bayes modal estimation in item response models. Psychometrika, 51, 177-195.
    • (1986) Psychometrika , vol.51 , pp. 177-195
    • Mislevy, R.J.1
  • 43
    • 0002280598 scopus 로고
    • Some improved diagnostics for failure in the Rasch model
    • Molenaar, I.W. (1983). Some improved diagnostics for failure in the Rasch model. Psychometrika, 48, 49-72.
    • (1983) Psychometrika , vol.48 , pp. 49-72
    • Molenaar, I.W.1
  • 44
    • 84976923244 scopus 로고
    • A generalized partial credit model: Application of an EM algorithm
    • Muraki, E. (1992). A generalized partial credit model: application of an EM algorithm. Applied Psychological Measurement, 16, 159-176.
    • (1992) Applied Psychological Measurement , vol.16 , pp. 159-176
    • Muraki, E.1
  • 46
    • 0002394561 scopus 로고
    • Large sample tests of statistical hypothesis concerning several parameters with applications to problems of estimation
    • Rao, C.R. (1947). Large sample tests of statistical hypothesis concerning several parameters with applications to problems of estimation. Proceedings of the Cambridge Philosophical Society, 44, 50-57.
    • (1947) Proceedings of the Cambridge Philosophical Society , vol.44 , pp. 50-57
    • Rao, C.R.1
  • 47
    • 84965400546 scopus 로고
    • The difficulty of test items that measure more than one ability
    • Reckase, M.D. (1985). The difficulty of test items that measure more than one ability. Applied Psychological Measurement, 9, 401-412.
    • (1985) Applied Psychological Measurement , vol.9 , pp. 401-412
    • Reckase, M.D.1
  • 48
    • 0002251164 scopus 로고    scopus 로고
    • A linear logistic multidimensional model for dichotomous item response data
    • W.J. van der Linden & R. K. Hambleton (Eds.). New York: Springer
    • Reckase, M.D. (1997). A linear logistic multidimensional model for dichotomous item response data. In W.J. van der Linden & R. K. Hambleton (Eds.), Handbook of modern item response theory (pp. 271-286). New York: Springer.
    • (1997) Handbook of Modern Item Response Theory , pp. 271-286
    • Reckase, M.D.1
  • 49
    • 0030510836 scopus 로고    scopus 로고
    • Analysis of residuals for the multinomial item response model
    • Reiser, M. (1996). Analysis of residuals for the multinomial item response model. Psychometrika, 61, 509-528.
    • (1996) Psychometrika , vol.61 , pp. 509-528
    • Reiser, M.1
  • 50
    • 0000310769 scopus 로고
    • Testing the conditional independence and monotonicity assumptions of item response theory
    • Rosenbaum, P.R. (1984). Testing the conditional independence and monotonicity assumptions of item response theory. Psychometrika, 49, 425-436.
    • (1984) Psychometrika , vol.49 , pp. 425-436
    • Rosenbaum, P.R.1
  • 51
    • 0017133178 scopus 로고
    • Inference and missing data
    • Rubin, D.B. (1976). Inference and missing data. Biometrika, 63, 581-592.
    • (1976) Biometrika , vol.63 , pp. 581-592
    • Rubin, D.B.1
  • 52
    • 34250098884 scopus 로고
    • A nonparametric approach for assessing latent trait dimensionality
    • Stout, W.F. (1987). A nonparametric approach for assessing latent trait dimensionality. Psychometrika, 52, 589-617.
    • (1987) Psychometrika , vol.52 , pp. 589-617
    • Stout, W.F.1
  • 53
    • 34249955887 scopus 로고
    • A new item response theory modeling approach with applications to unidimensional assessment and ability estimation
    • Stout, W.F. (1990). A new item response theory modeling approach with applications to unidimensional assessment and ability estimation. Psychometrika, 55, 293-326.
    • (1990) Psychometrika , vol.55 , pp. 293-326
    • Stout, W.F.1
  • 55
    • 0038264841 scopus 로고
    • A taxonomy of item response models
    • Thissen, D., & Steinberg, L. (1986). A taxonomy of item response models. Psychometrika, 51, 567-577.
    • (1986) Psychometrika , vol.51 , pp. 567-577
    • Thissen, D.1    Steinberg, L.2
  • 56
    • 84970161713 scopus 로고
    • Using simultaneous results to choose a latent trait model
    • Yen, W.M. (1981). Using simultaneous results to choose a latent trait model. Applied Psychological Measurement, 5, 245-262.
    • (1981) Applied Psychological Measurement , vol.5 , pp. 245-262
    • Yen, W.M.1
  • 57
    • 84965572632 scopus 로고
    • Effects of local item dependence on the fit and equating performance of the three-parameter logistic model
    • 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, 125-145.
    • (1984) Applied Psychological Measurement , vol.8 , pp. 125-145
    • Yen, W.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.