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Volumn 32, Issue 16, 2013, Pages 2790-2803

The impact of covariance misspecification in multivariate Gaussian mixtures on estimation and inference: An application to longitudinal modeling

Author keywords

Covariance; Kullback Leibler divergence; Mixture models; Model misspecification

Indexed keywords

ADOLESCENT; ADULT; ANALYTICAL ERROR; ARTICLE; BODY MASS; CONTROLLED STUDY; CORRELATION ANALYSIS; FEMALE; HUMAN; LONGITUDINAL STUDY; MALE; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS; MAXIMUM LIKELIHOOD METHOD; MULTIVARIATE ANALYSIS OF COVARIANCE; MULTIVARIATE GAUSSIAN MIXTURE; NORMAL DISTRIBUTION; PROBABILITY; REGRESSION ANALYSIS;

EID: 84879142467     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.5729     Document Type: Article
Times cited : (15)

References (47)
  • 4
    • 0004066260 scopus 로고    scopus 로고
    • Wiley Series in Probability and Statistics. Wiley: New York
    • McLachlan GJ, Peel D. Finite Mixture Models, Wiley Series in Probability and Statistics. Wiley: New York, 2000.
    • (2000) Finite Mixture Models
    • McLachlan, G.J.1    Peel, D.2
  • 7
    • 0035982949 scopus 로고    scopus 로고
    • Concomitant variables in finite mixture models
    • DOI: 10.1111/1467-9574.t01-1-00072.
    • Wedel M. Concomitant variables in finite mixture models. Statistica Neerlandica 2002; 56(3):362-375. DOI: 10.1111/1467-9574.t01-1-00072.
    • (2002) Statistica Neerlandica , vol.56 , Issue.3 , pp. 362-375
    • Wedel, M.1
  • 8
    • 84879145602 scopus 로고    scopus 로고
    • Medical applications of finite mixture models
    • DOI: 10.1111/j.1751-5823.2011.00149 20.x.
    • Schlattmann P. Medical applications of finite mixture models. International Statistical Review 2011; 79(2):294-294. DOI: 10.1111/j.1751-5823.2011.00149 20.x.
    • (2011) International Statistical Review , vol.79 , Issue.2 , pp. 294-294
    • Schlattmann, P.1
  • 9
    • 0033441152 scopus 로고    scopus 로고
    • Analyzing developmental trajectories: a semiparametric, group-based approach
    • DOI: 10.1037/1082-989X.4.2.139.
    • Nagin D. Analyzing developmental trajectories: a semiparametric, group-based approach. Psychological Methods 1999; 4(2):139-157. DOI: 10.1037/1082-989X.4.2.139.
    • (1999) Psychological Methods , vol.4 , Issue.2 , pp. 139-157
    • Nagin, D.1
  • 11
    • 0033917955 scopus 로고    scopus 로고
    • Integrating person-centered and variable-centered analyses: growth mixture modeling with latent trajectory classes
    • DOI: 10.1111/j.1530-0277.2000.tb02070.x.
    • Muthén B, Muthén L. Integrating person-centered and variable-centered analyses: growth mixture modeling with latent trajectory classes. Alcoholism: Clinical and Experimental Research 2000; 24(6):882-891. DOI: 10.1111/j.1530-0277.2000.tb02070.x.
    • (2000) Alcoholism: Clinical and Experimental Research , vol.24 , Issue.6 , pp. 882-891
    • Muthén, B.1    Muthén, L.2
  • 12
    • 0002569771 scopus 로고    scopus 로고
    • Second-generation structural equation modeling with a combination of categorical and continuous latent variables: new opportunities for latent class-latent growth modeling
    • In, Collins L, Sayers A (eds). American Psychological Association: Washington, D.C., DOI: 10.1037/10409-010.
    • Muthén B. Second-generation structural equation modeling with a combination of categorical and continuous latent variables: new opportunities for latent class-latent growth modeling. In New Methods for the Analysis of Change, Collins L, Sayers A (eds). American Psychological Association: Washington, D.C., 2001; 291-322, DOI: 10.1037/10409-010.
    • (2001) New Methods for the Analysis of Change , pp. 291-322
    • Muthén, B.1
  • 13
    • 77954415466 scopus 로고    scopus 로고
    • Latent mixture models for multivariate and longitudinal outcomes
    • DOI: 10.1177/0962280209105016.
    • Pickles A, Croudace T. Latent mixture models for multivariate and longitudinal outcomes. Statistical Methods in Medical Research 2010; 19(3):271-289. DOI: 10.1177/0962280209105016.
    • (2010) Statistical Methods in Medical Research , vol.19 , Issue.3 , pp. 271-289
    • Pickles, A.1    Croudace, T.2
  • 14
    • 0035530692 scopus 로고    scopus 로고
    • A SAS procedure based on mixture models for estimating developmental trajectories
    • Jones B, Nagin D, Roeder K. A SAS procedure based on mixture models for estimating developmental trajectories. Sociological Methods & Research 2001; 29(3):374.
    • (2001) Sociological Methods & Research , vol.29 , Issue.3 , pp. 374
    • Jones, B.1    Nagin, D.2    Roeder, K.3
  • 15
    • 11244333649 scopus 로고    scopus 로고
    • FlexMix: a general framework for finite mixture models and latent class regression in R
    • Leisch F. FlexMix: a general framework for finite mixture models and latent class regression in R. Journal of Statistical Software 2004; 11(8):1-18.
    • (2004) Journal of Statistical Software , vol.11 , Issue.8 , pp. 1-18
    • Leisch, F.1
  • 16
    • 22844453564 scopus 로고    scopus 로고
    • Mclust: software for model-based cluster analysis
    • Fraley C, Raftery A. Mclust: software for model-based cluster analysis. Journal of Classification 1999; 16(2):297-306.
    • (1999) Journal of Classification , vol.16 , Issue.2 , pp. 297-306
    • Fraley, C.1    Raftery, A.2
  • 17
  • 19
    • 84879149709 scopus 로고    scopus 로고
    • Assessing the number of components in mixture models: a review. FEP Working Papers 194, Universidade do Porto, Faculdade de Economia do Porto
    • Oliveira-Brochado A, Martins FV. Assessing the number of components in mixture models: a review. FEP Working Papers 194, Universidade do Porto, Faculdade de Economia do Porto, 2005.
    • (2005)
    • Oliveira-Brochado, A.1    Martins, F.V.2
  • 20
    • 0028245294 scopus 로고
    • Bias in misspecified mixtures
    • Gray G. Bias in misspecified mixtures. Biometrics 1994; 50(2):457-470.
    • (1994) Biometrics , vol.50 , Issue.2 , pp. 457-470
    • Gray, G.1
  • 21
    • 79956130569 scopus 로고    scopus 로고
    • Bias from misspecification of the component variances in a normal mixture
    • DOI: 10.1016/j.csda.2011.04.007.
    • Lo Y. Bias from misspecification of the component variances in a normal mixture. Computational Statistics & Data Analysis 2011; 55:2739-2747. DOI: 10.1016/j.csda.2011.04.007.
    • (2011) Computational Statistics & Data Analysis , vol.55 , pp. 2739-2747
    • Lo, Y.1
  • 22
    • 0027453616 scopus 로고
    • Model-based Gaussian and non-Gaussian clustering
    • Banfield JD, Raftery AE. Model-based Gaussian and non-Gaussian clustering. Biometrics 1993; 49(3):803-821.
    • (1993) Biometrics , vol.49 , Issue.3 , pp. 803-821
    • Banfield, J.D.1    Raftery, A.E.2
  • 23
    • 77949908759 scopus 로고    scopus 로고
    • Model-based clustering of longitudinal data
    • DOI: 10.1002/cjs.10047.
    • McNicholas PD, Murphy TB. Model-based clustering of longitudinal data. Canadian Journal of Statistics 2010; 38(1):153-168. DOI: 10.1002/cjs.10047.
    • (2010) Canadian Journal of Statistics , vol.38 , Issue.1 , pp. 153-168
    • McNicholas, P.D.1    Murphy, T.B.2
  • 24
    • 0032969449 scopus 로고    scopus 로고
    • Finite mixture modeling with mixture outcomes using the EM algorithm
    • DOI: 10.1111/j.0006-341X.1999.00463.x.
    • Muthén B, Shedden K. Finite mixture modeling with mixture outcomes using the EM algorithm. Biometrics 1999; 55(2):463-469. DOI: 10.1111/j.0006-341X.1999.00463.x.
    • (1999) Biometrics , vol.55 , Issue.2 , pp. 463-469
    • Muthén, B.1    Shedden, K.2
  • 25
    • 79952064610 scopus 로고    scopus 로고
    • Body mass trajectories through adulthood: results from the National Longitudinal Survey of Youth 1979 cohort (1981-2006)
    • DOI: 10.1093/ije/dyq142.
    • Ostbye T, Malhotra R, Landerman LR. Body mass trajectories through adulthood: results from the National Longitudinal Survey of Youth 1979 cohort (1981-2006). International Journal of Epidemiology 2011; 40(1):240-250. DOI: 10.1093/ije/dyq142.
    • (2011) International Journal of Epidemiology , vol.40 , Issue.1 , pp. 240-250
    • Ostbye, T.1    Malhotra, R.2    Landerman, L.R.3
  • 26
    • 80053385628 scopus 로고    scopus 로고
    • General approaches to analysis of course: applying growth mixture modeling to randomized trials of depression medication
    • In, Shrout P, Keyes K, Ornstein K (eds). Oxford University Press: New York
    • Muthén B, Brown H, Leuchter A, Hunter A. General approaches to analysis of course: applying growth mixture modeling to randomized trials of depression medication. In Causality and Psychopathology: Finding the Determinants of Disorders and their Cures, Shrout P, Keyes K, Ornstein K (eds). Oxford University Press: New York, 2008; 159-178.
    • (2008) Causality and Psychopathology: Finding the Determinants of Disorders and their Cures , pp. 159-178
    • Muthén, B.1    Brown, H.2    Leuchter, A.3    Hunter, A.4
  • 27
    • 77649173768 scopus 로고
    • Longitudinal data analysis using generalized linear models
    • DOI: 10.1093/biomet/73.1.13.
    • Liang K-Y, Zeger SL. Longitudinal data analysis using generalized linear models. Biometrika 1986; 73(1):13-22. DOI: 10.1093/biomet/73.1.13.
    • (1986) Biometrika , vol.73 , Issue.1 , pp. 13-22
    • Liang, K.-Y.1    Zeger, S.L.2
  • 28
    • 0002644952 scopus 로고
    • Maximum likelihood estimation of misspecified models
    • White H. Maximum likelihood estimation of misspecified models. Econometrica 1982; 50(1):1-25.
    • (1982) Econometrica , vol.50 , Issue.1 , pp. 1-25
    • White, H.1
  • 30
    • 0000607206 scopus 로고
    • Identifiability of finite mixtures
    • DOI: 10.1214/aoms/1177703862.
    • Teicher H. Identifiability of finite mixtures. The Annals of Mathematical Statistics 1963; 34(4):1265-1269. DOI: 10.1214/aoms/1177703862.
    • (1963) The Annals of Mathematical Statistics , vol.34 , Issue.4 , pp. 1265-1269
    • Teicher, H.1
  • 31
    • 0000411615 scopus 로고
    • On the identifiability of finite mixtures
    • DOI: 10.1214/aoms/1177698520.
    • Yakowitz S, Spragins J. On the identifiability of finite mixtures. The Annals of Mathematical Statistics 1968; 39(1):209-214. DOI: 10.1214/aoms/1177698520.
    • (1968) The Annals of Mathematical Statistics , vol.39 , Issue.1 , pp. 209-214
    • Yakowitz, S.1    Spragins, J.2
  • 32
    • 0034340248 scopus 로고    scopus 로고
    • Identifiablity of models for clusterwise linear regression
    • DOI: 10.1007/s003570000022.
    • Hennig C. Identifiablity of models for clusterwise linear regression. Journal of Classification 2000; 17(2):273-296. DOI: 10.1007/s003570000022.
    • (2000) Journal of Classification , vol.17 , Issue.2 , pp. 273-296
    • Hennig, C.1
  • 33
    • 0032863989 scopus 로고    scopus 로고
    • On the identifiability of mixtures-of-experts
    • DOI: 10.1016/S0893-6080(99)00066-0.
    • Jiang W, Tanner M. On the identifiability of mixtures-of-experts. Neural Networks 1999; 12(9):1253-1258. DOI: 10.1016/S0893-6080(99)00066-0.
    • (1999) Neural Networks , vol.12 , Issue.9 , pp. 1253-1258
    • Jiang, W.1    Tanner, M.2
  • 34
    • 0001381164 scopus 로고
    • Estimating the components of a mixture of normal distributions
    • DOI: 10.1093/biomet/56.3.463.
    • Day N. Estimating the components of a mixture of normal distributions. Biometrika 1969; 56(3):463-474. DOI: 10.1093/biomet/56.3.463.
    • (1969) Biometrika , vol.56 , Issue.3 , pp. 463-474
    • Day, N.1
  • 35
    • 0000284439 scopus 로고
    • Consistency of the maximum likelihood estimator in the presence of infinitely many incidental parameters
    • DOI: 10.1214/aoms/1177728066.
    • Kiefer J, Wolfowitz J. Consistency of the maximum likelihood estimator in the presence of infinitely many incidental parameters. The Annals of Mathematical Statistics 1956; 27(4):887-906. DOI: 10.1214/aoms/1177728066.
    • (1956) The Annals of Mathematical Statistics , vol.27 , Issue.4 , pp. 887-906
    • Kiefer, J.1    Wolfowitz, J.2
  • 36
    • 0001213803 scopus 로고
    • Discrete parameter variation: efficient estimation of a switching regression model
    • Kiefer N. Discrete parameter variation: efficient estimation of a switching regression model. Econometrica 1978; 46:427-434.
    • (1978) Econometrica , vol.46 , pp. 427-434
    • Kiefer, N.1
  • 37
    • 0001354471 scopus 로고
    • A constrained formulation of maximum-likelihood estimation for normal mixture distributions
    • DOI: 10.1214/aos/1176349557.
    • Hathaway R. A constrained formulation of maximum-likelihood estimation for normal mixture distributions. The Annals of Statistics 1985; 13(2):795-800. DOI: 10.1214/aos/1176349557.
    • (1985) The Annals of Statistics , vol.13 , Issue.2 , pp. 795-800
    • Hathaway, R.1
  • 38
    • 0000167944 scopus 로고
    • Note on the consistency of the maximum likelihood estimate
    • DOI: 10.1214/aoms/1177729952.
    • Wald A. Note on the consistency of the maximum likelihood estimate. The Annals of Mathematical Statistics 1949; 20(4):595-601. DOI: 10.1214/aoms/1177729952.
    • (1949) The Annals of Mathematical Statistics , vol.20 , Issue.4 , pp. 595-601
    • Wald, A.1
  • 39
    • 0000678581 scopus 로고
    • On some asymptotic properties of maximum likelihood estimates and related bayes estimates
    • LeCam L. On some asymptotic properties of maximum likelihood estimates and related bayes estimates. Univeristy of California Publications in Statistics 1953; 1:277-330.
    • (1953) Univeristy of California Publications in Statistics , vol.1 , pp. 277-330
    • LeCam, L.1
  • 40
    • 0000091003 scopus 로고
    • Asymptotic properties of non-linear least squares estimators
    • DOI: 10.1214/aoms/1177697731.
    • Jennrich R. Asymptotic properties of non-linear least squares estimators. The Annals of Mathematical Statistics 1969; 40(2):633-643. DOI: 10.1214/aoms/1177697731.
    • (1969) The Annals of Mathematical Statistics , vol.40 , Issue.2 , pp. 633-643
    • Jennrich, R.1
  • 41
    • 74049095483 scopus 로고    scopus 로고
    • Maximum likelihood estimation of the multivariate normal mixture model
    • DOI: 10.1198/jasa.2009.tm08273.
    • Boldea O, Magnus J. Maximum likelihood estimation of the multivariate normal mixture model. Journal of the American Statistical Association 2009; 104(488):1539-1549. DOI: 10.1198/jasa.2009.tm08273.
    • (2009) Journal of the American Statistical Association , vol.104 , Issue.488 , pp. 1539-1549
    • Boldea, O.1    Magnus, J.2
  • 42
    • 0033336275 scopus 로고    scopus 로고
    • Learning mixtures of Gaussians. In Proceedings of the IEEE Symposium on Foundations of Computer Science, New York
    • Dasgupta S.Learning mixtures of Gaussians. In Proceedings of the IEEE Symposium on Foundations of Computer Science, New York, 1999; 634-644.
    • (1999) , pp. 634-644
    • Dasgupta, S.1
  • 43
    • 69949108823 scopus 로고    scopus 로고
    • A comparison of several approaches for choosing between working correlation structures in generalized estimating equation analysis of longitudinal binary data
    • DOI: 10.1002/sim.3622.
    • Shults J, Sun W, Tu X, Kim H, Amsterdam J, Hilbe JM, Ten-Have T. A comparison of several approaches for choosing between working correlation structures in generalized estimating equation analysis of longitudinal binary data. Statistics in Medicine 2009; 28(18):2338-2355. DOI: 10.1002/sim.3622.
    • (2009) Statistics in Medicine , vol.28 , Issue.18 , pp. 2338-2355
    • Shults, J.1    Sun, W.2    Tu, X.3    Kim, H.4    Amsterdam, J.5    Hilbe, J.M.6    Ten-Have, T.7
  • 44
    • 0000426001 scopus 로고
    • Hypothesis testing of regression parameters in semiparametric generalized linear models for cluster correlated data
    • DOI: 10.1093/biomet/77.3.485.
    • Rotnitzky A, Jewell N. Hypothesis testing of regression parameters in semiparametric generalized linear models for cluster correlated data. Biometrika 1990; 77(3):485-497. DOI: 10.1093/biomet/77.3.485.
    • (1990) Biometrika , vol.77 , Issue.3 , pp. 485-497
    • Rotnitzky, A.1    Jewell, N.2
  • 45
    • 11244340506 scopus 로고    scopus 로고
    • Bootstrapping finite mixture models
    • In, Antoch J (ed.). Physica Verlag: Heidelberg, Germany
    • Grün B, Leisch F. Bootstrapping finite mixture models. In Compstat 2004-Proceeding in Computational Statistics, Antoch J (ed.). Physica Verlag: Heidelberg, Germany, 2004; 1115-1122.
    • (2004) Compstat 2004-Proceeding in Computational Statistics , pp. 1115-1122
    • Grün, B.1    Leisch, F.2
  • 47
    • 24644462335 scopus 로고    scopus 로고
    • Residual diagnostics for growth mixture models
    • DOI: 10.1198/016214505000000501.
    • Wang C, Brown C, Bandeen-Roche K. Residual diagnostics for growth mixture models. Journal of the American Statistical Association 2005; 100(471):1054-1076. DOI: 10.1198/016214505000000501.
    • (2005) Journal of the American Statistical Association , vol.100 , Issue.471 , pp. 1054-1076
    • Wang, C.1    Brown, C.2    Bandeen-Roche, K.3


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