메뉴 건너뛰기




Volumn 28, Issue 2, 2004, Pages 110-125

Order-Constrained Bayes Inference for Dichotomous Models of Unidimensional Nonparametric IRT

Author keywords

Bayesian inference; Inequality constraints; Nonparametric item response theory; Order restricted inference

Indexed keywords


EID: 1542291364     PISSN: 01466216     EISSN: None     Source Type: Journal    
DOI: 10.1177/0146621603260678     Document Type: Article
Times cited : (34)

References (55)
  • 3
    • 85039568424 scopus 로고    scopus 로고
    • Working Paper Series 00-40, Institute for Statistics and Decision Sciences. Durham, NC: Duke University. Available:
    • Bayarri, M. J., & Castellanos, M. E. (2000). A comparison of p-values for goodness-of-fit checking (Working Paper Series, 00-40, Institute for Statistics and Decision Sciences). Durham, NC: Duke University. Available: http:// ftp.isds.duke.edu/WorkingPapers/00-40.ps
    • (2000) A Comparison of P-values for Goodness-of-fit Checking
    • Bayarri, M.J.1    Castellanos, M.E.2
  • 4
    • 0001141391 scopus 로고
    • On the development of the reference prior method
    • J. M. Bernardo, J. O. Berger, D. V. Lindley, & A. F. M. Smith (Eds.) . Oxford, UK: Oxford University Press
    • Berger, J. O., & Bernardo, J. M. (1992). On the development of the reference prior method. In J. M. Bernardo, J. O. Berger, D. V. Lindley, & A. F. M. Smith (Eds.), Bayesian statistics 4. Oxford, UK: Oxford University Press.
    • (1992) Bayesian Statistics , vol.4
    • Berger, J.O.1    Bernardo, J.M.2
  • 5
    • 0002183088 scopus 로고
    • Reference posterior distributions for Bayesian inference
    • Bernardo, J. M. (1979). Reference posterior distributions for Bayesian inference (with discussion). Journal of the Royal Statistical Society, Series B, 41, 113-147.
    • (1979) Journal of the Royal Statistical Society, Series B , vol.41 , pp. 113-147
    • Bernardo, J.M.1
  • 7
    • 85004844370 scopus 로고
    • Investigating Mokken scalability of dichotomous items by means of ordinal latent class analysis
    • Croon, M. A. (1991). Investigating Mokken scalability of dichotomous items by means of ordinal latent class analysis. British Journal of Mathematical and Statistical Psychology, 44, 315-341.
    • (1991) British Journal of Mathematical and Statistical Psychology , vol.44 , pp. 315-341
    • Croon, M.A.1
  • 9
    • 0038207140 scopus 로고    scopus 로고
    • Bayesian inferences on order constrained parameters in generalized linear models
    • Dunson, D. B., & Neelon, B. (2003). Bayesian inferences on order constrained parameters in generalized linear models. Biometrics, 5, 286-295.
    • (2003) Biometrics , vol.5 , pp. 286-295
    • Dunson, D.B.1    Neelon, B.2
  • 10
    • 0031387276 scopus 로고    scopus 로고
    • Bayesian inference procedures derived via the concept of relative surprise
    • Evans, M. (1997). Bayesian inference procedures derived via the concept of relative surprise. Communications in Statistics: Theory and Methods, 26, 1125-1143.
    • (1997) Communications in Statistics: Theory and Methods , vol.26 , pp. 1125-1143
    • Evans, M.1
  • 12
    • 84950453504 scopus 로고
    • Bayesian analysis of constrained parameter and truncated data problems using Gibbs sampling
    • Gelfand, A. E., Smith, A. F. M., & Lee, T.-M. (1992). Bayesian analysis of constrained parameter and truncated data problems using Gibbs sampling. Journal of the American Statistical Association, 87, 523-532.
    • (1992) Journal of the American Statistical Association , vol.87 , pp. 523-532
    • Gelfand, A.E.1    Smith, A.F.M.2    Lee, T.-M.3
  • 13
    • 25444484077 scopus 로고    scopus 로고
    • Posterior predictive assessment of model fitness via realized discrepancies
    • Gelman, A., Meng, X.-L., & Stern, H. (1996). Posterior predictive assessment of model fitness via realized discrepancies. Statistic Sinica, 6, 733-807.
    • (1996) Statistic Sinica , vol.6 , pp. 733-807
    • Gelman, A.1    Meng, X.-L.2    Stern, H.3
  • 14
    • 84972511893 scopus 로고
    • Practical Markov chain Monte Carlo
    • Geyer, C. J. (1992). Practical Markov chain Monte Carlo. Statistical Science, 7, 473-511.
    • (1992) Statistical Science , vol.7 , pp. 473-511
    • Geyer, C.J.1
  • 15
    • 0001442462 scopus 로고
    • Two-group classification in latent trait theory: Scores with monotone likelihood ratio
    • Grayson, D. A. (1988). Two-group classification in latent trait theory: Scores with monotone likelihood ratio. Psychometrika, 53, 383-392.
    • (1988) Psychometrika , vol.53 , pp. 383-392
    • Grayson, D.A.1
  • 16
    • 0031506674 scopus 로고    scopus 로고
    • Stochastic ordering using the latent trait and the sum score in polytomous IRT models
    • Hemker, B. T., Sijtsma, K., Molenaar, I. W., & Junker, B. W. (1997). Stochastic ordering using the latent trait and the sum score in polytomous IRT models. Psychometrika, 62, 331-347.
    • (1997) Psychometrika , vol.62 , pp. 331-347
    • Hemker, B.T.1    Sijtsma, K.2    Molenaar, I.W.3    Junker, B.W.4
  • 17
    • 0040655766 scopus 로고    scopus 로고
    • A multidimensional item response model: Constrained latent class analysis using the Gibbs sampler and posterior predictive checks
    • Hoijtink, H. J. A., & Molenaar, I. W. (1997). A multidimensional item response model: Constrained latent class analysis using the Gibbs sampler and posterior predictive checks. Psychometrika, 62, 171-189.
    • (1997) Psychometrika , vol.62 , pp. 171-189
    • Hoijtink, H.J.A.1    Molenaar, I.W.2
  • 18
    • 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
  • 19
    • 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
  • 21
    • 0000084223 scopus 로고
    • Essential independence and likelihood-based ability estimation for polytomous items
    • Junker, B. W. (1991). Essential independence and likelihood-based ability estimation for polytomous items. Psychometrika, 56, 255-278.
    • (1991) Psychometrika , vol.56 , pp. 255-278
    • Junker, B.W.1
  • 22
    • 21344490105 scopus 로고
    • Conditional association, essential independence and monotone unidimensional item response models
    • Junker, B. W. (1993). Conditional association, essential independence and monotone unidimensional item response models. Annals of Statistics, 21, 1359-1378.
    • (1993) Annals of Statistics , vol.21 , pp. 1359-1378
    • Junker, B.W.1
  • 23
    • 0031532359 scopus 로고    scopus 로고
    • A characterization of monotone unidimensional latent variable models
    • Junker, B. W., & Ellis, J. L. (1997). A characterization of monotone unidimensional latent variable models. Annals of Statistics, 25, 1327-1343.
    • (1997) Annals of Statistics , vol.25 , pp. 1327-1343
    • Junker, B.W.1    Ellis, J.L.2
  • 24
    • 0034342681 scopus 로고    scopus 로고
    • Latent and manifest monotonicity in item response models
    • Junker, B. W., & Sijtsma, K. (2000). Latent and manifest monotonicity in item response models. Applied Psychological Measurement, 24, 65-81.
    • (2000) Applied Psychological Measurement , vol.24 , pp. 65-81
    • Junker, B.W.1    Sijtsma, K.2
  • 25
    • 0035536713 scopus 로고    scopus 로고
    • Nonparametric item response theory in action: An overview of the special issue
    • Junker, B. W., & Sijtsma, K. (2001). Nonparametric item response theory in action: An overview of the special issue. Applied Psychological Measurement, 25, 211-220.
    • (2001) Applied Psychological Measurement , vol.25 , pp. 211-220
    • Junker, B.W.1    Sijtsma, K.2
  • 26
    • 0035750668 scopus 로고    scopus 로고
    • The Rasch model, additive conjoint measurement, and new models of probabilistic measurement theory
    • Karabatsos, G. (2001). The Rasch model, additive conjoint measurement, and new models of probabilistic measurement theory. Journal of Applied Measurement, 2, 389-423.
    • (2001) Journal of Applied Measurement , vol.2 , pp. 389-423
    • Karabatsos, G.1
  • 28
    • 12444269684 scopus 로고    scopus 로고
    • Additivity tests
    • in press. B. Everitt & B. C. Howell (Eds.). New York: John Wiley
    • Karabatsos, G. (in press). Additivity tests. In B. Everitt & B. C. Howell (Eds.), Encyclopedia of behavioral statistics. New York: John Wiley.
    • Encyclopedia of Behavioral Statistics
    • Karabatsos, G.1
  • 29
    • 0346957341 scopus 로고    scopus 로고
    • Markov chain Monte-Carlo estimation for test theory without an answer key
    • Karabatsos, G., & Batchelder, W. H. (2003). Markov chain Monte-Carlo estimation for test theory without an answer key. Psychometrika, 68, 373-389.
    • (2003) Psychometrika , vol.68 , pp. 373-389
    • Karabatsos, G.1    Batchelder, W.H.2
  • 30
    • 0036339323 scopus 로고    scopus 로고
    • Enumerating and testing conjoint measurement models
    • Karabatsos, G., & Ullrich, J. (2002). Enumerating and testing conjoint measurement models. Mathematical Social Sciences, 43, 487-505.
    • (2002) Mathematical Social Sciences , vol.43 , pp. 487-505
    • Karabatsos, G.1    Ullrich, J.2
  • 32
    • 0001789822 scopus 로고
    • Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes
    • Liu, J. S., Wong, W. H., & Kong, A. (1994). Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes. Biometrika, 81, 27-40.
    • (1994) Biometrika , vol.81 , pp. 27-40
    • Liu, J.S.1    Wong, W.H.2    Kong, A.3
  • 33
    • 0042742904 scopus 로고
    • Posterior predictive p-values
    • Meng, X.-L. (1994). Posterior predictive p-values. Annals of Statistics, 22, 1142-1160.
    • (1994) Annals of Statistics , vol.22 , pp. 1142-1160
    • Meng, X.-L.1
  • 34
    • 0013826884 scopus 로고
    • Some results based on a general stochastic model for mental tests
    • Meredith, W. (1965). Some results based on a general stochastic model for mental tests. Psychometrika, 30, 419-440.
    • (1965) Psychometrika , vol.30 , pp. 419-440
    • Meredith, W.1
  • 36
    • 84970436927 scopus 로고
    • A nonparametric approach to the analysis of dichotomous item responses
    • Mokken, R. J., & Lewis, C. (1982). A nonparametric approach to the analysis of dichotomous item responses. Applied Psychological Measurement, 6, 417-430.
    • (1982) Applied Psychological Measurement , vol.6 , pp. 417-430
    • Mokken, R.J.1    Lewis, C.2
  • 37
    • 0033411905 scopus 로고    scopus 로고
    • A straight forward approach to Markov chain Monte Carlo methods for item response models
    • Patz, R. J., & Junker, B. W. (1999). A straight forward approach to Markov chain Monte Carlo methods for item response models. Journal of Educational and Behavioral Statistics, 24, 146-178.
    • (1999) Journal of Educational and Behavioral Statistics , vol.24 , pp. 146-178
    • Patz, R.J.1    Junker, B.W.2
  • 38
    • 0001185338 scopus 로고
    • Prior distributions for the bivariate binomial
    • Polson, N., & Wasserman, L. (1990). Prior distributions for the bivariate binomial. Biometrika, 77, 901-904.
    • (1990) Biometrika , vol.77 , pp. 901-904
    • Polson, N.1    Wasserman, L.2
  • 42
    • 0000439370 scopus 로고
    • Bayesianly justifiable and relevant frequency calculations for the applied statistician
    • Rubin, D. B. (1984). Bayesianly justifiable and relevant frequency calculations for the applied statistician. Annals of Statistics, 12, 1151-1172.
    • (1984) Annals of Statistics , vol.12 , pp. 1151-1172
    • Rubin, D.B.1
  • 43
    • 0142223515 scopus 로고
    • S-PLUS. Seattle, WA: Statistical Sciences
    • S-PLUS. (1995). S-PLUS documentation. Seattle, WA: Statistical Sciences.
    • (1995) S-PLUS Documentation
  • 44
    • 0002723397 scopus 로고
    • Estimation of latent trait ability using a pattern of graded scores
    • Samejima, F. (1969). Estimation of latent trait ability using a pattern of graded scores. Psychometrika Monograph, no. 17.
    • (1969) Psychometrika Monograph , vol.17
    • Samejima, F.1
  • 45
    • 21844490042 scopus 로고
    • Isotonic ordinal probabilistic models
    • Scheiblechner, H. (1995). Isotonic ordinal probabilistic models. Psychometrika, 60, 281-304.
    • (1995) Psychometrika , vol.60 , pp. 281-304
    • Scheiblechner, H.1
  • 46
    • 0033246002 scopus 로고    scopus 로고
    • Additive conjoint isotonic probabilistic models
    • Scheiblechner, H. (1999). Additive conjoint isotonic probabilistic models. Psychometrika, 64, 295-316.
    • (1999) Psychometrika , vol.64 , pp. 295-316
    • Scheiblechner, H.1
  • 48
    • 0032326767 scopus 로고    scopus 로고
    • Methodology review: Nonparametric IRT approaches to the analysis of dichotomous item scores
    • Sijtsma, K. (1998). Methodology review: Nonparametric IRT approaches to the analysis of dichotomous item scores. Applied Psychological Measurement, 22, 3-31.
    • (1998) Applied Psychological Measurement , vol.22 , pp. 3-31
    • Sijtsma, K.1
  • 50
    • 34249955887 scopus 로고
    • A new item response theory modeling approach with applications to unidimensionality assessment and ability estimation
    • Stout, W. F. (1990). A new item response theory modeling approach with applications to unidimensionality assessment and ability estimation. Psychometrika, 55, 293-325.
    • (1990) Psychometrika , vol.55 , pp. 293-325
    • Stout, W.F.1
  • 51
    • 0000576595 scopus 로고
    • Markov chains for exploring posterior distributions
    • Tierney, L. (1994). Markov chains for exploring posterior distributions. Annals of Statistics, 22, 1701-1728.
    • (1994) Annals of Statistics , vol.22 , pp. 1701-1728
    • Tierney, L.1
  • 52
    • 0037001878 scopus 로고    scopus 로고
    • Bayesian estimation and model selection in ordered latent class models for polytomous items
    • Van Onna, M. J. H. (2002). Bayesian estimation and model selection in ordered latent class models for polytomous items. Psychometrika, 67, 519-538.
    • (2002) Psychometrika , vol.67 , pp. 519-538
    • Van Onna, M.J.H.1
  • 53
    • 0035536725 scopus 로고    scopus 로고
    • The use of restricted latent class models for defining and testing nonparametric and parametric item response theory models
    • Vermunt, J. K. (2001). The use of restricted latent class models for defining and testing nonparametric and parametric item response theory models. Applied Psychological Measurement, 25, 283-294.
    • (2001) Applied Psychological Measurement , vol.25 , pp. 283-294
    • Vermunt, J.K.1
  • 54
    • 0004044394 scopus 로고    scopus 로고
    • Working Paper Series, Institute for Statistics and Decision Sciences, Duke University [Online]
    • Yang, R., & Berger, J. O. (1997). A catalog of noninformative priors (Working Paper Series, 97-42, Institute for Statistics and Decision Sciences, Duke University) [Online]. Available: http:// ftp.isds.duke.edu/WorkingPapers/97-42.html
    • (1997) A Catalog of Noninformative Priors
    • Yang, R.1    Berger, J.O.2
  • 55
    • 84988115553 scopus 로고
    • Scaling performance assessments: Strategies for managing local item dependence
    • Yen, W.M. (1993). Scaling performance assessments: Strategies for managing local item dependence. Journal of Educational Measurement, 30(3), 187-213.
    • (1993) Journal of Educational Measurement , vol.30 , Issue.3 , pp. 187-213
    • Yen, W.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.