메뉴 건너뛰기




Volumn 55, Issue 1, 2011, Pages 12-25

Alternating imputation posterior estimation of models with crossed random effects

Author keywords

Adaptive quadrature; Crossed random effects; Generalized linear mixed model; Item response theory; Laplace approximation; Random cross classification; Salamander mating data; Two way error components

Indexed keywords

ADAPTIVE QUADRATURE; GENERALIZED LINEAR MIXED MODELS; ITEM RESPONSE THEORY; LAPLACE APPROXIMATION; RANDOM CROSS-CLASSIFICATION; RANDOM EFFECTS; SALAMANDER MATING DATA; TWO-WAY ERROR COMPONENTS;

EID: 77956395175     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2010.04.015     Document Type: Article
Times cited : (56)

References (85)
  • 1
    • 0005351289 scopus 로고
    • A stochastic growth model applied to repeated test of academic knowledge
    • W. Albers, R.J.M.M. Does, T. Imbos, and M.P.E. Janssen A stochastic growth model applied to repeated test of academic knowledge Psychometrika 54 1989 451 466
    • (1989) Psychometrika , vol.54 , pp. 451-466
    • Albers, W.1    Does, R.J.M.M.2    Imbos, T.3    Janssen, M.P.E.4
  • 2
    • 0033858416 scopus 로고    scopus 로고
    • Modeling repeated count data subject to informative dropout
    • P.S. Albert, and D.A. Follmann Modeling repeated count data subject to informative dropout Biometrics 56 2000 667 677
    • (2000) Biometrics , vol.56 , pp. 667-677
    • Albert, P.S.1    Follmann, D.A.2
  • 5
    • 26844462159 scopus 로고    scopus 로고
    • A pairwise likelihood approach to generalized linear models with crossed random effects
    • R. Bellio, and C. Varin A pairwise likelihood approach to generalized linear models with crossed random effects Statistical Modelling 5 2005 217 227
    • (2005) Statistical Modelling , vol.5 , pp. 217-227
    • Bellio, R.1    Varin, C.2
  • 6
    • 27644511026 scopus 로고
    • Fitting a response model for n dichotomously scored items
    • R.D. Bock, and M. Lieberman Fitting a response model for n dichotomously scored items Psychometrika 33 1970 179 197
    • (1970) Psychometrika , vol.33 , pp. 179-197
    • Bock, R.D.1    Lieberman, M.2
  • 8
    • 0033475053 scopus 로고    scopus 로고
    • Maximizing generalized linear mixed model likelihoods with an automated Monte Carlo em algorithm
    • J.G. Booth, and J.P. Hobert Maximizing generalized linear mixed model likelihoods with an automated Monte Carlo EM algorithm Journal of the Royal Statistical Society, Series B 61 1999 265 285
    • (1999) Journal of the Royal Statistical Society, Series B , vol.61 , pp. 265-285
    • Booth, J.G.1    Hobert, J.P.2
  • 11
    • 0003020981 scopus 로고
    • Bias correction in generalised linear mixed models with a single component of dispersion
    • N.E. Breslow, and X. Lin Bias correction in generalised linear mixed models with a single component of dispersion Biometrika 82 1995 81 91
    • (1995) Biometrika , vol.82 , pp. 81-91
    • Breslow, N.E.1    Lin, X.2
  • 14
    • 33847083094 scopus 로고    scopus 로고
    • A comparison of Bayesian and likelihood methods for fitting multilevel models
    • W.J. Browne, and D. Draper A comparison of Bayesian and likelihood methods for fitting multilevel models Bayesian Analysis 1 2006 473 514
    • (2006) Bayesian Analysis , vol.1 , pp. 473-514
    • Browne, W.J.1    Draper, D.2
  • 15
    • 84993710083 scopus 로고    scopus 로고
    • Multiple membership multiple classification (MMMC) models
    • W.J. Browne, H. Goldstein, and J. Rasbash Multiple membership multiple classification (MMMC) models Statistical Modelling 1 2001 103 124
    • (2001) Statistical Modelling , vol.1 , pp. 103-124
    • Browne, W.J.1    Goldstein, H.2    Rasbash, J.3
  • 16
    • 0000538422 scopus 로고
    • A computationally efficient quadrature procedure for the one-factor multinomial probit model
    • J.S. Butler, and R. Moffitt A computationally efficient quadrature procedure for the one-factor multinomial probit model Econometrica 50 1982 761 764
    • (1982) Econometrica , vol.50 , pp. 761-764
    • Butler, J.S.1    Moffitt, R.2
  • 17
    • 77956394708 scopus 로고    scopus 로고
    • A Bayesian approach for fitting a random effect differential item functioning across group units
    • S. Chaimongkol, F.W. Huffer, and A. Kamata A Bayesian approach for fitting a random effect differential item functioning across group units Thailand Statistician 4 2006 27 41
    • (2006) Thailand Statistician , vol.4 , pp. 27-41
    • Chaimongkol, S.1    Huffer, F.W.2    Kamata, A.3
  • 18
    • 21144479531 scopus 로고
    • The asymptotic posterior normality of the latent trait in an IRT model
    • H. Chang, and W. Stout The asymptotic posterior normality of the latent trait in an IRT model Psychometrika 58 1993 37 52
    • (1993) Psychometrika , vol.58 , pp. 37-52
    • Chang, H.1    Stout, W.2
  • 20
    • 62949223903 scopus 로고    scopus 로고
    • Random item IRT models
    • P. De Boeck Random item IRT models Psychometrika 73 2008 533 559
    • (2008) Psychometrika , vol.73 , pp. 533-559
    • De Boeck, P.1
  • 22
    • 34547843657 scopus 로고    scopus 로고
    • Relaxing measurement invariance in cross-national consumer research using a hierarchical IRT model
    • M.G. De Jong, and J. Steenkamp Relaxing measurement invariance in cross-national consumer research using a hierarchical IRT model Journal of Consumer Research 34 2007 260 278
    • (2007) Journal of Consumer Research , vol.34 , pp. 260-278
    • De Jong, M.G.1    Steenkamp, J.2
  • 23
    • 77950098135 scopus 로고    scopus 로고
    • Finite mixture multilevel multidimensional ordinal IRT models for large-scale cross-cultural research
    • M.G. De Jong, and J. Steenkamp Finite mixture multilevel multidimensional ordinal IRT models for large-scale cross-cultural research Psychometrika 75 2010 3 32
    • (2010) Psychometrika , vol.75 , pp. 3-32
    • De Jong, M.G.1    Steenkamp, J.2
  • 24
    • 33846589881 scopus 로고    scopus 로고
    • Comparison of PQL and Laplace 6 estimates of hierarchical linear models when comparing groups of small incident rates in cluster randomised trials
    • R.E. Diaz Comparison of PQL and Laplace 6 estimates of hierarchical linear models when comparing groups of small incident rates in cluster randomised trials Computational Statistics and Data Analysis 51 2007 2871 2888
    • (2007) Computational Statistics and Data Analysis , vol.51 , pp. 2871-2888
    • Diaz, R.E.1
  • 26
    • 0035534930 scopus 로고    scopus 로고
    • Bayesian estimation of a multilevel IRT model using Gibbs sampling
    • J.P. Fox, and C.A.W. Glas Bayesian estimation of a multilevel IRT model using Gibbs sampling Psychometrika 66 2001 269 286
    • (2001) Psychometrika , vol.66 , pp. 269-286
    • Fox, J.P.1    Glas, C.A.W.2
  • 28
    • 84867086419 scopus 로고    scopus 로고
    • Prior distributions for variance parameters in hierarchical models
    • A. Gelman Prior distributions for variance parameters in hierarchical models Bayesian Analysis 1 2006 515 533
    • (2006) Bayesian Analysis , vol.1 , pp. 515-533
    • Gelman, A.1
  • 29
    • 84972492387 scopus 로고
    • Inference from iterative simulation using multiple sequences
    • A. Gelman, and D.B. Rubin Inference from iterative simulation using multiple sequences Statistical Sceience 7 1992 457 472
    • (1992) Statistical Sceience , vol.7 , pp. 457-472
    • Gelman, A.1    Rubin, D.B.2
  • 31
    • 0008362591 scopus 로고
    • Multilevel covariance component models
    • H. Goldstein Multilevel covariance component models Biometrika 74 1987 430 431
    • (1987) Biometrika , vol.74 , pp. 430-431
    • Goldstein, H.1
  • 32
    • 77956891017 scopus 로고
    • Nonlinear multilevel models, with an application to discrete response data
    • H. Goldstein Nonlinear multilevel models, with an application to discrete response data Biometrika 78 1991 45 51
    • (1991) Biometrika , vol.78 , pp. 45-51
    • Goldstein, H.1
  • 36
    • 0028650772 scopus 로고
    • A random-effects ordinal regression model for multilevel analysis
    • D. Hedeker, and R.D. Gibbons A random-effects ordinal regression model for multilevel analysis Biometrics 50 1994 933 944
    • (1994) Biometrics , vol.50 , pp. 933-944
    • Hedeker, D.1    Gibbons, R.D.2
  • 39
    • 47749090885 scopus 로고    scopus 로고
    • Accuracy of Laplace approximation for discrete response mixed models
    • H. Joe Accuracy of Laplace approximation for discrete response mixed models Computational Statistics and Data Analysis 52 2008 5066 5074
    • (2008) Computational Statistics and Data Analysis , vol.52 , pp. 5066-5074
    • Joe, H.1
  • 40
    • 24944435572 scopus 로고    scopus 로고
    • Calibration of polytomous item families using Bayesian hierarchical modeling
    • M.S. Johnson, and S. Sinharay Calibration of polytomous item families using Bayesian hierarchical modeling Applied Psychological Measurement 29 2005 369 400
    • (2005) Applied Psychological Measurement , vol.29 , pp. 369-400
    • Johnson, M.S.1    Sinharay, S.2
  • 41
    • 0026643305 scopus 로고
    • Generalized linear models with random effects: Salamander mating revisited
    • M.R. Karim, and S.L. Zeger Generalized linear models with random effects: Salamander mating revisited Biometrics 48 1992 631 644
    • (1992) Biometrics , vol.48 , pp. 631-644
    • Karim, M.R.1    Zeger, S.L.2
  • 42
    • 34547659608 scopus 로고    scopus 로고
    • Comment on article by Browne and Draper
    • P.C. Lambert Comment on article by Browne and Draper Bayesian Analysis 1 2006 543 546
    • (2006) Bayesian Analysis , vol.1 , pp. 543-546
    • Lambert, P.C.1
  • 46
    • 0035648391 scopus 로고    scopus 로고
    • On the effect of the number of quadrature points in a logistic random-effects model: An example
    • E. Lesaffre, and B. Spiessens On the effect of the number of quadrature points in a logistic random-effects model: an example Journal of the Royal Statistical Society, Series C 50 2001 325 335
    • (2001) Journal of the Royal Statistical Society, Series C , vol.50 , pp. 325-335
    • Lesaffre, E.1    Spiessens, B.2
  • 47
    • 0030336576 scopus 로고    scopus 로고
    • Bias correction in generalized linear mixed models with multiple components of dispersion
    • X. Lin, and N.E. Breslow Bias correction in generalized linear mixed models with multiple components of dispersion Journal of the American Statistical Association 91 1996 1007 1016
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 1007-1016
    • Lin, X.1    Breslow, N.E.2
  • 48
    • 0001303107 scopus 로고
    • A note on Gauss-Hermite quadrature
    • Q. Liu, and D.A. Pierce A note on Gauss-Hermite quadrature Biometrika 81 1994 624 629
    • (1994) Biometrika , vol.81 , pp. 624-629
    • Liu, Q.1    Pierce, D.A.2
  • 50
  • 52
    • 0001495734 scopus 로고
    • Randomization-based inference about latent variables from complex samples
    • R.J. Mislevy Randomization-based inference about latent variables from complex samples Psychometrika 56 1991 177 196
    • (1991) Psychometrika , vol.56 , pp. 177-196
    • Mislevy, R.J.1
  • 55
  • 56
    • 0001831031 scopus 로고
    • Consistent estimates based on partially consistent observation
    • J. Neyman, and E.L. Scott Consistent estimates based on partially consistent observation Econometrica 16 1948 1 32
    • (1948) Econometrica , vol.16 , pp. 1-32
    • Neyman, J.1    Scott, E.L.2
  • 57
    • 33947127673 scopus 로고    scopus 로고
    • REML estimation for binary data in GLMMs
    • M. Noh, and Y. Lee REML estimation for binary data in GLMMs Journal of Multivariate Analysis 98 2007 896 915
    • (2007) Journal of Multivariate Analysis , vol.98 , pp. 896-915
    • Noh, M.1    Lee, Y.2
  • 58
    • 77956889208 scopus 로고
    • Recovery of inter-block information when block sizes are unequal
    • H.D. Patterson, and R. Thompson Recovery of inter-block information when block sizes are unequal Biometrika 58 1971 545 554
    • (1971) Biometrika , vol.58 , pp. 545-554
    • Patterson, H.D.1    Thompson, R.2
  • 60
    • 33645565987 scopus 로고    scopus 로고
    • Efficient Laplacian and adaptive Gaussian quadrature algorithms for multilevel generalized linear mixed models
    • J.C. Pinheiro, and E.C. Chao Efficient Laplacian and adaptive Gaussian quadrature algorithms for multilevel generalized linear mixed models Journal of Computational and Graphical Statistics 15 2006 58 81
    • (2006) Journal of Computational and Graphical Statistics , vol.15 , pp. 58-81
    • Pinheiro, J.C.1    Chao, E.C.2
  • 62
    • 24144482731 scopus 로고    scopus 로고
    • Maximum likelihood estimation of limited and discrete dependent variable models with nested random effects
    • S. Rabe-Hesketh, A. Skrondal, and A. Pickles Maximum likelihood estimation of limited and discrete dependent variable models with nested random effects Journal of Econometrics 128 2005 301 323
    • (2005) Journal of Econometrics , vol.128 , pp. 301-323
    • Rabe-Hesketh, S.1    Skrondal, A.2    Pickles, A.3
  • 63
  • 64
    • 0001605592 scopus 로고
    • Efficient analysis of mixed hierarchical and crossed random structures using a multilevel model
    • J. Rasbash, and H. Goldstein Efficient analysis of mixed hierarchical and crossed random structures using a multilevel model Journal of Educational Statistics 1994 337 350
    • (1994) Journal of Educational Statistics , pp. 337-350
    • Rasbash, J.1    Goldstein, H.2
  • 65
    • 0001585474 scopus 로고
    • A crossed random effects model for unbalanced data with applications in cross-sectional and longitudinal research
    • S.W. Raudenbush A crossed random effects model for unbalanced data with applications in cross-sectional and longitudinal research Journal of Educational and Behavioral Statistics 18 1993 321 349
    • (1993) Journal of Educational and Behavioral Statistics , vol.18 , pp. 321-349
    • Raudenbush, S.W.1
  • 67
    • 77950035264 scopus 로고    scopus 로고
    • Maximum likelihood for generalized linear models with nested random effects via high-order, multivariate Laplace approximation
    • S.W. Raudenbush, M. Yang, and M. Yosef Maximum likelihood for generalized linear models with nested random effects via high-order, multivariate Laplace approximation Journal of Computational and Graphical Statistics 9 2000 141 157
    • (2000) Journal of Computational and Graphical Statistics , vol.9 , pp. 141-157
    • Raudenbush, S.W.1    Yang, M.2    Yosef, M.3
  • 68
    • 4243757425 scopus 로고
    • An assessment of estimation procedures for multilevel models with binary responses
    • G. Rodrguez, and N. Goldman An assessment of estimation procedures for multilevel models with binary responses Journal of the Royal Statistical Society, Series A 158 1995 73 89
    • (1995) Journal of the Royal Statistical Society, Series A , vol.158 , pp. 73-89
    • Rodrguez, G.1    Goldman, N.2
  • 69
    • 0035648129 scopus 로고    scopus 로고
    • Improved estimation procedures for multilevel models with binary response: A case study
    • G. Rodrguez, and N. Goldman Improved estimation procedures for multilevel models with binary response: a case study Journal of the Royal Statistical Society, Series A 164 2001 339 355
    • (2001) Journal of the Royal Statistical Society, Series A , vol.164 , pp. 339-355
    • Rodrguez, G.1    Goldman, N.2
  • 71
    • 77956888303 scopus 로고
    • Estimation in generalized linear-models with random effects
    • R. Schall Estimation in generalized linear-models with random effects Biometrika 78 1991 719 727
    • (1991) Biometrika , vol.78 , pp. 719-727
    • Schall, R.1
  • 72
    • 28844454343 scopus 로고    scopus 로고
    • High dimensional maximum marginal likelihood item factor analysis by adaptive quadrature
    • S. Schilling, and R.D. Bock High dimensional maximum marginal likelihood item factor analysis by adaptive quadrature Psychometrika 70 2005 533 555
    • (2005) Psychometrika , vol.70 , pp. 533-555
    • Schilling, S.1    Bock, R.D.2
  • 74
    • 33644661144 scopus 로고    scopus 로고
    • version 1.4 [Computer program]. UK: MRC Biostatistics Unit, Institute of Public Health, Robinson Way, Cambridge CB2 2SR
    • Spiegelhalter, D., Thomas, A., Best, N., 2003. WinBUGS version 1.4 [Computer program]. UK: MRC Biostatistics Unit, Institute of Public Health, Robinson Way, Cambridge CB2 2SR.
    • (2003) WinBUGS
    • Spiegelhalter, D.1    Thomas, A.2    Best, N.3
  • 76
    • 0021730579 scopus 로고
    • Random effects models for serial observations with binary responses
    • R. Stiratelli, N.M. Laird, and J.H. Ware Random effects models for serial observations with binary responses Biometrics 40 1984 961 971
    • (1984) Biometrics , vol.40 , pp. 961-971
    • Stiratelli, R.1    Laird, N.M.2    Ware, J.H.3
  • 79
    • 0031350670 scopus 로고    scopus 로고
    • Generating multiple imputations for matrix sampling data analyzed with item response models
    • N. Thomas, and N. Gan Generating multiple imputations for matrix sampling data analyzed with item response models Journal of Educational and Behavioral Statistics 22 1997 425 445
    • (1997) Journal of Educational and Behavioral Statistics , vol.22 , pp. 425-445
    • Thomas, N.1    Gan, N.2
  • 82
    • 26844482934 scopus 로고    scopus 로고
    • Two slice-EM algorithms for fitting generalized linear mixed models with binary response
    • F. Vaida, and X.L. Meng Two slice-EM algorithms for fitting generalized linear mixed models with binary response Statistical Modelling 5 2005 229 242
    • (2005) Statistical Modelling , vol.5 , pp. 229-242
    • Vaida, F.1    Meng, X.L.2
  • 84
    • 70350549262 scopus 로고    scopus 로고
    • Multilevel mixture item response theory models: An application in education testing
    • J. Vermunt Multilevel mixture item response theory models: an application in education testing Bulletin of the International Statistical Institute 2007 1 4
    • (2007) Bulletin of the International Statistical Institute , pp. 1-4
    • Vermunt, J.1
  • 85
    • 84950432017 scopus 로고
    • A Monte Carlo implementation of the em algorithm and the poor man's data augmentation algorithms
    • G.C.G. Wei, and M.A. Tanner A Monte Carlo implementation of the EM algorithm and the poor man's data augmentation algorithms Journal of the American Statistical Association 85 1990 699 704
    • (1990) Journal of the American Statistical Association , vol.85 , pp. 699-704
    • Wei, G.C.G.1    Tanner, M.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.