메뉴 건너뛰기




Volumn 14, Issue 3, 2013, Pages 477-490

The gradient function as an exploratory goodness-of-fit assessment of the random-effects distribution in mixed models

Author keywords

Directional derivative; Gradient; Latent variables; Mixed models; Random effects; Random effects distribution

Indexed keywords

ARTICLE; BIOSTATISTICS; DIRECTIONAL DERIVATIVE; GRADIENT; HUMAN; LATENT VARIABLES; LONGITUDINAL STUDY; MIXED MODELS; MULTIVARIATE ANALYSIS; NONLINEAR SYSTEM; ONYCHOMYCOSIS; RANDOM EFFECTS; RANDOM-EFFECTS DISTRIBUTION; RANDOMIZED CONTROLLED TRIAL (TOPIC); SKIN DISEASE; STATISTICAL MODEL; STATISTICS;

EID: 84879070676     PISSN: 14654644     EISSN: 14684357     Source Type: Journal    
DOI: 10.1093/biostatistics/kxs059     Document Type: Article
Times cited : (50)

References (41)
  • 1
    • 4944247358 scopus 로고    scopus 로고
    • Examples in whichmisspecification of a random effects distribution reduces efficiency, and possible remedies
    • AGRESTI, A.,CAFFO, B. AND OHMAN-STRICKLAND, P. (2004). Examples in whichmisspecification of a random effects distribution reduces efficiency, and possible remedies. Computational Statistics and Data Analysis 47, 639-653
    • (2004) Computational Statistics and Data Analysis , vol.47 , pp. 639-653
    • Agresti, A.1    Caffo, B.2    Ohman-Strickland, P.3
  • 2
    • 42749096545 scopus 로고    scopus 로고
    • A family of tests to detect misspecifications in the randomeffects structure of generalized linear mixed models
    • ALONSO, A., LITI ̀ERE, S. AND MOLENBERGHS, G. (2008). A family of tests to detect misspecifications in the randomeffects structure of generalized linear mixed models. Computational Statistics and Data Analysis 52, 4474-4486
    • (2008) Computational Statistics and Data Analysis , vol.52 , pp. 4474-4486
    • Alonso, A.1    Liti ̀ere, S.2    Molenberghs, G.3
  • 3
    • 18144364885 scopus 로고
    • The vertex-exchange-method in d-optimal design theory
    • BÖHNING, D. (1986). The vertex-exchange-method in d-optimal design theory. Metrika 33, 337-347
    • (1986) Metrika , vol.33 , pp. 337-347
    • Böhning, D.1
  • 4
    • 0037996865 scopus 로고
    • Likelihood inference for mixtures: Geometrical and other constructions of monotone step-length algorithms
    • BÖHNING, D. (1989). Likelihood inference for mixtures: geometrical and other constructions of monotone step-length algorithms. Biometrika 76, 375-383
    • (1989) Biometrika , vol.76 , pp. 375-383
    • Böhning, D.1
  • 6
    • 0344936575 scopus 로고    scopus 로고
    • Recent developments in computer assisted analysis of mixtures (C.A.MAN)
    • BÖHNING, D.,DIETZ, E. AND SCHLATTMANN, P. (1998). Recent developments in computer assisted analysis of mixtures (C.A.MAN). Biometrics 54, 367-377.
    • (1998) Biometrics , vol.54 , pp. 367-377
    • Böhning, D.1    Dietz, E.2    Schlattmann, P.3
  • 7
    • 0026522721 scopus 로고
    • Computer assisted analysis of mixtures (C.A.MAN): Statistical algorithms
    • BÖHNING, D., SCHLATTMANN, P. AND LINDSAY, B. G. (1992). Computer assisted analysis of mixtures (C.A.MAN): statistical algorithms. Biometrics 48, 283-303
    • (1992) Biometrics , vol.48 , pp. 283-303
    • Böhning, D.1    Schlattmann, P.2    Lindsay, B.G.3
  • 8
    • 0029890420 scopus 로고    scopus 로고
    • A 12-week treatment for dermatophyte toe onychomycosis: Terbinafine 250 mg/day vs. itraconazole 200 mg/day-A double-blind comparative trial
    • DE BACKER, M., DE KEYSER, P., DE VROEY, C. AND LESAFFRE, E. (1996). A 12-week treatment for dermatophyte toe onychomycosis: terbinafine 250 mg/day vs. itraconazole 200 mg/day-a double-blind comparative trial. British Journal of Dermatology 134, 16-17
    • (1996) British Journal of Dermatology , vol.134 , pp. 16-17
    • De Backer, M.1    De Keyser, P.2    De Vroey, C.3    Lesaffre, E.4
  • 10
    • 36749025518 scopus 로고    scopus 로고
    • Mixture models. In: De Boeck, P. and Wilson, M. (editors)
    • Statistics for Social Science and Public Policy, Chapter 11. New York: Springer
    • FIEUWS, S., SPIESSENS, B. AND DRANEY, K. (2004), Mixture models. In: De Boeck, P. and Wilson, M. (editors), Explanatory Item Response Models: A Generalized Linear and Nonlinear Approach, Statistics for Social Science and Public Policy, Chapter 11. New York: Springer, pp. 317-340.
    • (2004) Explanatory Item Response Models: A Generalized Linear and Nonlinear Approach , pp. 317-340
    • Fieuws, S.1    Spiessens, B.2    Draney, K.3
  • 11
    • 10944222639 scopus 로고    scopus 로고
    • Smooth random effects distribution in a linear mixed model
    • GHIDEY, W., LESAFFRE, E. AND EILERS, P. (2004). Smooth random effects distribution in a linear mixed model. Biometrics 60, 945-953
    • (2004) Biometrics , vol.60 , pp. 945-953
    • Ghidey, W.1    Lesaffre, E.2    Eilers, P.3
  • 12
    • 0032887209 scopus 로고    scopus 로고
    • Marginalized specified logistic-normal models for longitudinal binary data
    • HEAGERTY, P. J. (1999). Marginalized specified logistic-normal models for longitudinal binary data. Biometrics 55, 688-698
    • (1999) Biometrics , vol.55 , pp. 688-698
    • Heagerty, P.J.1
  • 13
    • 0000024102 scopus 로고    scopus 로고
    • Misspecified maximum likelihood estimates and generalised linear mixed models
    • HEAGERTY, P. J. AND KURLAND, B. F. (2001). Misspecified maximum likelihood estimates and generalised linear mixed models. Biometrika 88, 973-985
    • (2001) Biometrika , vol.88 , pp. 973-985
    • Heagerty, P.J.1    Kurland, B.F.2
  • 14
    • 0001780119 scopus 로고    scopus 로고
    • Marginalized multilevel models and likelihood inference
    • HEAGERTY, P. J. AND ZEGER, S. L. (2000).Marginalized multilevel models and likelihood inference. Statistical Science 15, 1-26
    • (2000) Statistical Science , vol.15 , pp. 1-26
    • Heagerty, P.J.1    Zeger, S.L.2
  • 15
    • 66949178364 scopus 로고    scopus 로고
    • Diagnosis of random-effect model misspecification in generalized linear mixed models for binary response
    • doi: 10.1111/j.1541-0420.2008.01103.x
    • HUANG, X. (2008). Diagnosis of random-effect model misspecification in generalized linear mixed models for binary response. Biometrics, doi: 10.1111/j.1541-0420.2008.01103.x.
    • (2008) Biometrics
    • Huang, X.1
  • 16
    • 0000212230 scopus 로고
    • Assessing normality in random effects models
    • LANGE, N. AND RYAN, L. (1989). Assessing normality in random effects models. The Annals of Statistics 17, 624-642.
    • (1989) The Annals of Statistics , vol.17 , pp. 624-642
    • Lange, N.1    Ryan, L.2
  • 17
    • 0000525359 scopus 로고
    • The geometry of mixture likelihoods, part i : A general theory
    • LINDSAY, B. G. (1983a). The geometry of mixture likelihoods, part I : a general theory. The Annals of Statistics 11, 86-94
    • (1983) The Annals of Statistics , vol.11 , pp. 86-94
    • Lindsay, B.G.1
  • 18
    • 0000525358 scopus 로고
    • The geometry of mixture likelihoods, part II : The exponential family
    • LINDSAY, B. G. (1983b). The geometry of mixture likelihoods, part II : the exponential family. The Annals of Statistics 11, 783-792
    • (1983) The Annals of Statistics , vol.11 , pp. 783-792
    • Lindsay, B.G.1
  • 19
    • 36749002202 scopus 로고    scopus 로고
    • Type i and type II error under random-effects misspecification in generalized linear mixed models
    • LITI ̀ERE, S., ALONSO, A. AND MOLENBERGHS, G. (2007). Type I and type II error under random-effects misspecification in generalized linear mixed models. Biometrics 63, 1038-1044
    • (2007) Biometrics , vol.63 , pp. 1038-1044
    • Liti ̀ere, S.1    Alonso, A.2    Molenberghs, G.3
  • 20
    • 42749091873 scopus 로고    scopus 로고
    • The impact of a misspecified random-effects distribution on maximum likelihood estimation in generalized linear mixed models
    • doi: 10.1002/sim. 3157
    • LITI ̀ERE, S., ALONSO, A. AND MOLENBERGHS, G. (2008). The impact of a misspecified random-effects distribution on maximum likelihood estimation in generalized linear mixed models. Statistics in Medicine, doi: 10.1002/sim. 3157
    • (2008) Statistics in Medicine
    • Liti ̀ere, S.1    Alonso, A.2    Molenberghs, G.3
  • 22
    • 48049093037 scopus 로고    scopus 로고
    • A likelihood reformulation method in non-normal random effects models
    • LIU, L. AND YU, Z. (2007). A likelihood reformulation method in non-normal random effects models. Statistics in Medicine 27, 3105-3124.
    • (2007) Statistics in Medicine , vol.27 , pp. 3105-3124
    • Liu, L.1    Yu, Z.2
  • 23
    • 0030329265 scopus 로고    scopus 로고
    • A smooth nonparametric estimate of a mixing distribution using mixtures of Gaussians
    • MAGDER, L. S. AND ZEGER, S. L. (1996). A smooth nonparametric estimate of a mixing distribution using mixtures of Gaussians. Journal of the American Statistical Association 91, 1141-1152
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 1141-1152
    • Magder, L.S.1    Zeger, S.L.2
  • 26
    • 37649013843 scopus 로고    scopus 로고
    • An extended random-effects approach to modeling repeated, overdispersed count data
    • MOLENBERGHS, G.,VERBEKE, G. AND DEḾETRIO, C. G. B. (2007). An extended random-effects approach to modeling repeated, overdispersed count data. Lifetime Data Analysis 13, 513-532.
    • (2007) Lifetime Data Analysis , vol.13 , pp. 513-532
    • Molenberghs, G.1    Verbeke, G.2    Demétrio, C.G.B.3
  • 27
    • 84995346800 scopus 로고    scopus 로고
    • Growth mixture modeling: Analysis with non-Gaussian random effects. In: Fitzmaurice, G., Davidian, M., Verbeke, G. and Molenberghs, G. (editors)
    • Handbooks of Modern Statistical Methods, Chapter 6. New York: Chapman & Hall/CRC
    • MUTH́EN, B. AND ASPAROUHOV, T. (2009). Growth mixture modeling: analysis with non-Gaussian random effects. In: Fitzmaurice, G., Davidian, M., Verbeke, G. and Molenberghs, G. (editors), Longitudinal Data Analysis, Handbooks of Modern Statistical Methods, Chapter 6. New York: Chapman & Hall/CRC, pp. 143-166
    • (2009) Longitudinal Data Analysis , pp. 143-166
    • Muthén, B.1    Asparouhov, T.2
  • 28
    • 0000162978 scopus 로고
    • The effects of mixture distribution specification when fitting mixed-effects logistic models
    • NEUHAUS, J. M., HAUCK, W. W. AND KALBFLEISCH, J. D. (1992). The effects of mixture distribution specification when fitting mixed-effects logistic models. Biometrika 79, 755-762
    • (1992) Biometrika , vol.79 , pp. 755-762
    • Neuhaus, J.M.1    Hauck, W.W.2    Kalbfleisch, J.D.3
  • 29
    • 33644859249 scopus 로고    scopus 로고
    • Goodness-of-fit methods for generalized linear mixed models
    • PAN, Z. AND LIN, D. Y. (2005). Goodness-of-fit methods for generalized linear mixed models. Biometrics 61, 1000-1009
    • (2005) Biometrics , vol.61 , pp. 1000-1009
    • Pan, Z.1    Lin, D.Y.2
  • 31
    • 4043165629 scopus 로고    scopus 로고
    • Goodness-of-fit tests for mixed models
    • RITZ, C. (2004). Goodness-of-fit tests for mixed models. Scandinavian Journal of Statistics 31, 443-458.
    • (2004) Scandinavian Journal of Statistics , vol.31 , pp. 443-458
    • Ritz, C.1
  • 32
    • 0026507441 scopus 로고
    • Prevalence of dermatophyte onychomycosis in the United Kingdom: Results of an omnibus survey
    • ROBERTS, D. T. (1992). Prevalence of dermatophyte onychomycosis in the United Kingdom: results of an omnibus survey. British Journal of Dermatology 126(Suppl. 39), 23-27
    • (1992) British Journal of Dermatology , vol.126 , Issue.SUPPL. 39 , pp. 23-27
    • Roberts, D.T.1
  • 34
    • 33845745281 scopus 로고    scopus 로고
    • A diagnostic test for the mixing distribution in a generalised linear mixed model
    • TCHETGEN, E. J. AND COULL, B. A. (2006). A diagnostic test for the mixing distribution in a generalised linear mixed model. Biometrika 93, 1003-1010.
    • (2006) Biometrika , vol.93 , pp. 1003-1010
    • Tchetgen, E.J.1    Coull, B.A.2
  • 35
    • 0033617274 scopus 로고    scopus 로고
    • A comparison of mixed effects logistic regression models for binary response data with two nested levels of clustering
    • TEN HAVE, T. R.,KUNSELMAN, A. R. AND TRAN, L. (1999). A comparison of mixed effects logistic regression models for binary response data with two nested levels of clustering. Statistics in Medicine 18, 947-960
    • (1999) Statistics in Medicine , vol.18 , pp. 947-960
    • Ten Have, T.R.1    Kunselman, A.R.2    Tran, L.3
  • 36
    • 62749191476 scopus 로고    scopus 로고
    • A semi-parametric shared parameter model to handle nonmonotone nonignorable missingness
    • TSONAKA, R., VERBEKE, G. AND LESAFFRE, E. (2009). A semi-parametric shared parameter model to handle nonmonotone nonignorable missingness. Biometrics 65, 81-87
    • (2009) Biometrics , vol.65 , pp. 81-87
    • Tsonaka, R.1    Verbeke, G.2    Lesaffre, E.3
  • 37
    • 0000569928 scopus 로고    scopus 로고
    • A linear mixed-effects model with heterogeneity in the random-effects population
    • VERBEKE, G. AND LESAFFRE, E. (1996). A linear mixed-effects model with heterogeneity in the random-effects population. Journal of the American Statistical Association 91, 217-221
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 217-221
    • Verbeke, G.1    Lesaffre, E.2
  • 38
    • 0031555662 scopus 로고    scopus 로고
    • The effect of misspecifying the random effects distribution in linear mixed models for longitudinal data
    • VERBEKE, G. AND LESAFFRE, E. (1997). The effect of misspecifying the random effects distribution in linear mixed models for longitudinal data. Computational Statistics and Data Analysis 23, 541-556
    • (1997) Computational Statistics and Data Analysis , vol.23 , pp. 541-556
    • Verbeke, G.1    Lesaffre, E.2
  • 39
    • 0034994805 scopus 로고    scopus 로고
    • The practical use of different strategies to handle dropout in longitudinal studies
    • VERBEKE, G., LESAFFRE, E. AND SPIESSENS, B. (2001). The practical use of different strategies to handle dropout in longitudinal studies. Drug Information Journal 35, 419-434
    • (2001) Drug Information Journal , vol.35 , pp. 419-434
    • Verbeke, G.1    Lesaffre, E.2    Spiessens, B.3
  • 41
    • 0034862723 scopus 로고    scopus 로고
    • Linear mixed models with flexible distributions of random effects for longitudinal data
    • ZHANG, D. AND DAVIDIAN, M. (2001). Linear mixed models with flexible distributions of random effects for longitudinal data. Biometrics 57, 795-802.
    • (2001) Biometrics , vol.57 , pp. 795-802
    • Zhang, D.1    Davidian, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.