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Volumn 100, Issue 471, 2005, Pages 1054-1076

Residual diagnostics for growth mixture models: Examining the impact of a preventive intervention on multiple trajectories of aggressive behavior

Author keywords

Empirical Bayes; Growth mixture modeling; Latent variables; Marginal maximum likelihood; Preventive intervention; Pseudoclass

Indexed keywords


EID: 24644462335     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214505000000501     Document Type: Review
Times cited : (144)

References (93)
  • 1
    • 0016355478 scopus 로고
    • A new look at the statistical identification model
    • Akaike, H. (1974), "A New Look at the Statistical Identification Model,"IEEE Transactions on Automatic Control, 19, 716-723.
    • (1974) IEEE Transactions on Automatic Control , vol.19 , pp. 716-723
    • Akaike, H.1
  • 2
    • 34147096911 scopus 로고
    • The effect of sampling error on convergence, improper solutions and goodness-of-fit indices for maximum likelihood confirmatory factor analysis
    • Anderson, J. C., and Gerbing, D. W. (1984), "The Effect of Sampling Error on Convergence, Improper Solutions and Goodness-of-Fit Indices for Maximum Likelihood Confirmatory Factor Analysis,"Psychometrika, 49, 155-173.
    • (1984) Psychometrika , vol.49 , pp. 155-173
    • Anderson, J.C.1    Gerbing, D.W.2
  • 6
    • 24644480120 scopus 로고    scopus 로고
    • Bates and Pinheiro (2000)
    • Bates and Pinheiro (2000),.
  • 7
    • 0023453271 scopus 로고
    • Diagnostics for mixed model analysis of variance
    • Beckman, R. J., Nachtsheim, C. J., and Cook, R. D. (1987), "Diagnostics for Mixed Model Analysis of Variance,"Technometrics, 29, 413-426.
    • (1987) Technometrics , vol.29 , pp. 413-426
    • Beckman, R.J.1    Nachtsheim, C.J.2    Cook, R.D.3
  • 8
    • 0034228914 scopus 로고    scopus 로고
    • Assessing a mixture model for clustering with the integrated completed likelihood
    • Biernacki, C., Celeux, G., and Govaert, G. (2000), "Assessing a Mixture Model for Clustering With the Integrated Completed Likelihood,"IEEE Transactions on PAMI, 22, 719-725.
    • (2000) IEEE Transactions on PAMI , vol.22 , pp. 719-725
    • Biernacki, C.1    Celeux, G.2    Govaert, G.3
  • 13
    • 0035347012 scopus 로고    scopus 로고
    • Developmental profiles of peer social preference over the course of elementary school: Associations with trajectories of externalizing and internalizing behavior
    • Brendgen, M., Vitaro, F., Bukowski, W. M., Doyle, A. B., and Markiewicz, D. (2001), "Developmental Profiles of Peer Social Preference Over the Course of Elementary School: Associations With Trajectories of Externalizing and Internalizing Behavior,"Developmental Psychology, 37, 308-320.
    • (2001) Developmental Psychology , vol.37 , pp. 308-320
    • Brendgen, M.1    Vitaro, F.2    Bukowski, W.M.3    Doyle, A.B.4    Markiewicz, D.5
  • 14
    • 0027529307 scopus 로고
    • Statistical methods for preventive trials in mental health
    • Brown, C. H. (1993), "Statistical Methods for Preventive Trials in Mental Health,"Statistics in Medicine, 12, 289-300.
    • (1993) Statistics in Medicine , vol.12 , pp. 289-300
    • Brown, C.H.1
  • 15
    • 0033202593 scopus 로고    scopus 로고
    • Principles for designing randomized preventive trials in mental health: An emerging developmental epidemiology paradigm
    • Brown, C. H., and Liao, J. (1999), "Principles for Designing Randomized Preventive Trials in Mental Health: An Emerging Developmental Epidemiology Paradigm,"American Journal of Community Psychology, 27, 673-710.
    • (1999) American Journal of Community Psychology , vol.27 , pp. 673-710
    • Brown, C.H.1    Liao, J.2
  • 17
    • 0042484818 scopus 로고    scopus 로고
    • A case study on the choice, interpretation and checking of multilevel models for longitudinal binary outcomes
    • Carlin, J. B., Wolfe, R., Brown, C. H., and Gelman, A. (2001), "A Case Study on the Choice, Interpretation and Checking of Multilevel Models for Longitudinal Binary Outcomes,"Biostatistics, 2, 397-416.
    • (2001) Biostatistics , vol.2 , pp. 397-416
    • Carlin, J.B.1    Wolfe, R.2    Brown, C.H.3    Gelman, A.4
  • 21
    • 0038416109 scopus 로고    scopus 로고
    • Developmental typology of trajectories to nighttime bladder control: Epidemiologic application of longitudinal latent class analysis
    • Croudace, T. J., Jarvelin, M. R., Wadsworth, M. E., and Jones, P. B. (2003), "Developmental Typology of Trajectories to Nighttime Bladder Control: Epidemiologic Application of Longitudinal Latent Class Analysis,"American Journal of Epidemiology, 157, 834-842.
    • (2003) American Journal of Epidemiology , vol.157 , pp. 834-842
    • Croudace, T.J.1    Jarvelin, M.R.2    Wadsworth, M.E.3    Jones, P.B.4
  • 22
    • 0003913351 scopus 로고    scopus 로고
    • Seattle WA: Mathsoft Inc.
    • Data Analysis Products Division of Mathsoft (1999), S-PLUS 2000 Programmer's Guide, Seattle WA: Mathsoft Inc.
    • (1999) S-PLUS 2000 Programmer's Guide
  • 23
    • 0001381164 scopus 로고
    • Estimating the components of a mixture of normal distributions
    • Day, N. E. (1969), "Estimating the Components of a Mixture of Normal Distributions,"Biometrika, 56, 463-474.
    • (1969) Biometrika , vol.56 , pp. 463-474
    • Day, N.E.1
  • 33
    • 0030325217 scopus 로고    scopus 로고
    • Adjusted variable plots for cox's proportional hazard regression
    • Hall, C. B., Zeger, S. L., and Bandeen-Roche, K. J. (1996), "Adjusted Variable Plots for Cox's Proportional Hazard Regression, "Lifetime Data Analysis, 2, 73-90.
    • (1996) Lifetime Data Analysis , vol.2 , pp. 73-90
    • Hall, C.B.1    Zeger, S.L.2    Bandeen-Roche, K.J.3
  • 34
    • 0021575963 scopus 로고
    • Specification tests for the multinomial logit model
    • Hausman, J., and McFadden, D. (1984), "Specification Tests for the Multinomial Logit Model,"Econometrica, 52, 1219-1240.
    • (1984) Econometrica , vol.52 , pp. 1219-1240
    • Hausman, J.1    McFadden, D.2
  • 36
    • 77956891289 scopus 로고
    • Inference about the change-point from cumulative sum tests
    • Hinkley, D. V. (1971), "Inference About the Change-Point From Cumulative Sum Tests,"Biometrika, 58, 509-523.
    • (1971) Biometrika , vol.58 , pp. 509-523
    • Hinkley, D.V.1
  • 38
    • 0001750294 scopus 로고    scopus 로고
    • Some algebra and geometry for hierarchical models, applied to diagnostics
    • Hodges, J. (1998), "Some Algebra and Geometry for Hierarchical Models, Applied to Diagnostics,"Journal of the Royal Statistical Society, Ser. B, 60, 497-536.
    • (1998) Journal of the Royal Statistical Society, Ser. B , vol.60 , pp. 497-536
    • Hodges, J.1
  • 39
    • 0442280678 scopus 로고    scopus 로고
    • Latent variable model for joint analysis of multiple repeated measures and bivariate time events
    • Huang, W., Zeger, S. L., Anthony, J. C., and Garrett, E. (2001), "Latent Variable Model for Joint Analysis of Multiple Repeated Measures and Bivariate Time Events,"Journal of the American Statistical Association, 96, 906-914.
    • (2001) Journal of the American Statistical Association , vol.96 , pp. 906-914
    • Huang, W.1    Zeger, S.L.2    Anthony, J.C.3    Garrett, E.4
  • 41
    • 3843067507 scopus 로고    scopus 로고
    • A note on "testing the number of components in a normal mixture,"
    • Jeffries, N. O. (2003), A Note on "Testing the Number of Components in a Normal Mixture,"Biometrika, 90, 991-994.
    • (2003) Biometrika , vol.90 , pp. 991-994
    • Jeffries, N.O.1
  • 43
    • 0035530692 scopus 로고    scopus 로고
    • A SAS procedure based on mixture models for estimating developmental trajectories
    • Jones, B. L., Nagin, D. S., and Roeder, K. (2001), "A SAS Procedure Based on Mixture Models for Estimating Developmental Trajectories, "Sociological Methods and Research, 29, 374-393.
    • (2001) Sociological Methods and Research , vol.29 , pp. 374-393
    • Jones, B.L.1    Nagin, D.S.2    Roeder, K.3
  • 45
    • 0003418565 scopus 로고    scopus 로고
    • Mooresville, IN: Scientific Software International
    • _ (1997), LISREL 8 User's Reference Guide (2nd ed.), Mooresville, IN: Scientific Software International.
    • (1997) LISREL 8 User's Reference Guide (2nd Ed.)
  • 47
    • 0028158188 scopus 로고
    • The course and malleability of aggressive behavior from early first grade into middle school: Results of a developmental epidemiologically-based preventive trial
    • Kellam, S. G., Rebok, G. W., lalongo, N., and Mayer, L. S. (1994), "The Course and Malleability of Aggressive Behavior From Early First Grade Into Middle School: Results of a Developmental Epidemiologically-Based Preventive Trial,"Journal of Child Psychology & Psychiatry Allied Disciplines, 35, 259-281.
    • (1994) Journal of Child Psychology & Psychiatry Allied Disciplines , vol.35 , pp. 259-281
    • Kellam, S.G.1    Rebok, G.W.2    Lalongo, N.3    Mayer, L.S.4
  • 48
    • 0020333131 scopus 로고
    • Random effects models for longitudinal data
    • Laird, M. N., and Ware, J. H. (1982), "Random Effects Models for Longitudinal Data,"Biometrics, 38, 963-974.
    • (1982) Biometrics , vol.38 , pp. 963-974
    • Laird, M.N.1    Ware, J.H.2
  • 49
    • 0000374707 scopus 로고
    • The effect of covariance structure on variance estimation in balanced growth-curve models with random parameters
    • Lange, N., and Laird, M. N. (1989), "The Effect of Covariance Structure on Variance Estimation in Balanced Growth-Curve Models With Random Parameters,"Journal of the American Statistical Association, 84, 241-247.
    • (1989) Journal of the American Statistical Association , vol.84 , pp. 241-247
    • Lange, N.1    Laird, M.N.2
  • 50
    • 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
  • 52
    • 1642358200 scopus 로고    scopus 로고
    • Joint analysis of time-to-event and multiple binary indicators of latent classes
    • Larsen, K. (2004), "Joint Analysis of Time-to-Event and Multiple Binary Indicators of Latent Classes,"Biometrics, 60, 85-92.
    • (2004) Biometrics , vol.60 , pp. 85-92
    • Larsen, K.1
  • 53
    • 0035045256 scopus 로고    scopus 로고
    • Examining developmental trajectories in adolescent alcohol use using piecewise growth mixture modeling analysis
    • Li, F., Duncan, T. E., and Hops, H. (2001), "Examining Developmental Trajectories in Adolescent Alcohol Use Using Piecewise Growth Mixture Modeling Analysis,"Journal of Studies on Alcohol, 62, 199-210.
    • (2001) Journal of Studies on Alcohol , vol.62 , pp. 199-210
    • Li, F.1    Duncan, T.E.2    Hops, H.3
  • 59
    • 0002297105 scopus 로고
    • Conditional logit analysis of quantitative choice behavior
    • ed. P. Zarembka, New York: Academic Press
    • McFadden, D. (1974), "Conditional Logit Analysis of Quantitative Choice Behavior,"in Frontiers in Econometrics, ed. P. Zarembka, New York: Academic Press, pp. 105-142.
    • (1974) Frontiers in Econometrics , pp. 105-142
    • McFadden, D.1
  • 62
    • 48749147366 scopus 로고
    • Latent variable structure equation modeling with categorical data
    • Muthén, B. O. (1983), "Latent Variable Structure Equation Modeling With Categorical Data,"Journal of Econometrics, 22, 48-65.
    • (1983) Journal of Econometrics , vol.22 , pp. 48-65
    • Muthén, B.O.1
  • 63
    • 0001391849 scopus 로고
    • A general structural equation model with dichotomous, ordered categorical and continuous latent variable indicators
    • _ (1984), "A General Structural Equation Model With Dichotomous, Ordered Categorical and Continuous Latent Variable Indicators, "Psychometrika, 49, 115-132.
    • (1984) Psychometrika , vol.49 , pp. 115-132
  • 64
    • 0040176902 scopus 로고    scopus 로고
    • Growth modeling with binary responses
    • eds. A. V. Eye and C. Clogg, San Diego: Academic Press
    • _ (1996), "Growth Modeling With Binary Responses,"in Categorical Variables in Developmental Research: Methods of Analysis, eds. A. V. Eye and C. Clogg, San Diego: Academic Press, pp. 37-54.
    • (1996) Categorical Variables in Developmental Research: Methods of Analysis , pp. 37-54
  • 65
    • 0031526569 scopus 로고    scopus 로고
    • Latent variable modeling with longitudinal and multilevel data
    • ed. A. Raftery, Boston: Blackwell
    • _ (1997), "Latent Variable Modeling With Longitudinal and Multilevel Data,"in Sociological Methodology, ed. A. Raftery, Boston: Blackwell, pp. 453-480.
    • (1997) Sociological Methodology , pp. 453-480
  • 66
    • 0002532925 scopus 로고    scopus 로고
    • Methodological issues in random coefficient growth modeling using a latent variable framework: Applications to the development of heavy drinking
    • eds. J. Rose, L. Chassin, C. Pressen, and J. Sherman, Hillsdale, NJ: Erlbaum
    • _ (2000), "Methodological Issues in Random Coefficient Growth Modeling Using a Latent Variable Framework: Applications to the Development of Heavy Drinking,"in Multivariate Applications in Substance Use Research, eds. J. Rose, L. Chassin, C. Pressen, and J. Sherman, Hillsdale, NJ: Erlbaum, pp. 113-140.
    • (2000) Multivariate Applications in Substance Use Research , pp. 113-140
  • 68
    • 0000963321 scopus 로고    scopus 로고
    • General longitudinal modeling of individual differences in experimental designs: A latent variable framework for analysis and power estimation
    • Muthén, B. O., and Curran, P. J. (1997), "General Longitudinal Modeling of Individual Differences in Experimental Designs: A Latent Variable Framework for Analysis and Power Estimation,"Psychological Methods, 2, 371-402.
    • (1997) Psychological Methods , vol.2 , pp. 371-402
    • Muthén, B.O.1    Curran, P.J.2
  • 69
    • 4244036634 scopus 로고    scopus 로고
    • Analysis of reading skills development from kindergarten through first grade: An application of growth mixture modeling to sequential processes
    • eds. S. P. Reise and N. Duan, Mahaw, NJ: Lawrence Erlbaum
    • Muthén, B., Khoo, S.-T., Francis, D. J., and Boscardin, C. K. (2003), "Analysis of Reading Skills Development From Kindergarten Through First Grade: An Application of Growth Mixture Modeling to Sequential Processes,"in Multilevel Modeling: Methodological Advances, Issues, and Applications. Multivariate Applications, eds. S. P. Reise and N. Duan, Mahaw, NJ: Lawrence Erlbaum, pp. 71-89.
    • (2003) Multilevel Modeling: Methodological Advances, Issues, and Applications. Multivariate Applications , pp. 71-89
    • Muthén, B.1    Khoo, S.-T.2    Francis, D.J.3    Boscardin, C.K.4
  • 70
    • 0033917955 scopus 로고    scopus 로고
    • Integrating person-centered and variable-centered analyses: Growth mixture modeling with latent trajectory classes
    • Muthén, B., and Muthén, L. K. (2000), "Integrating Person-Centered and Variable-Centered Analyses: Growth Mixture Modeling With Latent Trajectory Classes,"Alcoholism: Clinical and Experimental Research, 24, 882-891.
    • (2000) Alcoholism: Clinical and Experimental Research , vol.24 , pp. 882-891
    • Muthén, B.1    Muthén, L.K.2
  • 71
    • 0032969449 scopus 로고    scopus 로고
    • Finite mixture modeling with mixture outcomes using the EM algorithm
    • Muthén, B., and Shedden, K. (1999), "Finite Mixture Modeling With Mixture Outcomes Using the EM Algorithm,"Biometrics, 55, 463-469.
    • (1999) Biometrics , vol.55 , pp. 463-469
    • Muthén, B.1    Shedden, K.2
  • 73
    • 0033441152 scopus 로고    scopus 로고
    • Analyzing developmental trajectories: A semiparametric, grouped-based approach
    • Nagin, D. S. (1999), "Analyzing Developmental Trajectories: A Semiparametric, Grouped-Based Approach,"Psychological Methods, 4, 139-157.
    • (1999) Psychological Methods , vol.4 , pp. 139-157
    • Nagin, D.S.1
  • 74
    • 0035052736 scopus 로고    scopus 로고
    • Parental and early childhood predictors of persistent physical aggression in boys from kindergarten to high school
    • Nagin, D. S., and Tremblay, R. E. (2001), "Parental and Early Childhood Predictors of Persistent Physical Aggression in Boys From Kindergarten to High School,"Archives of General Psychiatry, 58, 389-394.
    • (2001) Archives of General Psychiatry , vol.58 , pp. 389-394
    • Nagin, D.S.1    Tremblay, R.E.2
  • 75
    • 0028226377 scopus 로고
    • Mixed-effect regression models for studying the natural history of prostate disease
    • Pearson, J. D., Morrell, C. H., Landis, P. K., Carter, H. B., and Brant, L. J. (1994), "Mixed-Effect Regression Models for Studying the Natural History of Prostate Disease,"Statistics in Medicine, 13, 587-601.
    • (1994) Statistics in Medicine , vol.13 , pp. 587-601
    • Pearson, J.D.1    Morrell, C.H.2    Landis, P.K.3    Carter, H.B.4    Brant, L.J.5
  • 76
    • 0018896107 scopus 로고
    • A simple cumulative sum type statistic for the change-point problem with zero-one observations
    • Pettitt, A. N. (1980), "A Simple Cumulative Sum Type Statistic for the Change-Point Problem With Zero-One Observations,"Biometrika, 67, 79-84.
    • (1980) Biometrika , vol.67 , pp. 79-84
    • Pettitt, A.N.1
  • 78
    • 0002289285 scopus 로고
    • Some statistical methods for comparison of growth curves
    • Rao, C. R. (1958), "Some Statistical Methods for Comparison of Growth Curves,"Biometrics, 14, 1-17.
    • (1958) Biometrics , vol.14 , pp. 1-17
    • Rao, C.R.1
  • 79
    • 0000922853 scopus 로고
    • Note on the consistency of the maximum likelihood estimate for nonidentifiable distributions
    • Redner, R. (1981), "Note on the Consistency of the Maximum Likelihood Estimate for Nonidentifiable Distributions,"The Annals of Statistics, 9, 225-228.
    • (1981) The Annals of Statistics , vol.9 , pp. 225-228
    • Redner, R.1
  • 80
    • 0038536754 scopus 로고
    • Parameterizing inequality constraints on unique variances in linear structural models
    • Rindskopf, D. (1983), "Parameterizing Inequality Constraints on Unique Variances in Linear Structural Models,"Psychometrika, 48, 73-83.
    • (1983) Psychometrika , vol.48 , pp. 73-83
    • Rindskopf, D.1
  • 81
    • 0002048897 scopus 로고
    • Using phantom and imaginary latent variables to parameterize constraints in linear structural models
    • _ (1984), "Using Phantom and Imaginary Latent Variables to Parameterize Constraints in Linear Structural Models,"Psychometrika, 49, 37-47.
    • (1984) Psychometrika , vol.49 , pp. 37-47
  • 82
    • 0001475895 scopus 로고
    • A graphical technique for determining the number of components in a mixture of normals
    • Roeder, K. (1994), "A Graphical Technique for Determining the Number of Components in a Mixture of Normals,"Journal of the American Statistical Association, 89, 487-495.
    • (1994) Journal of the American Statistical Association , vol.89 , pp. 487-495
    • Roeder, K.1
  • 83
    • 84950918760 scopus 로고
    • Multiple imputation for interval estimation from simple random samples with ignorable nonresponse
    • Rubin, B. R., and Schenker, N. (1986), "Multiple Imputation for Interval Estimation From Simple Random Samples With Ignorable Nonresponse,"Journal of the American Statistical Association, 81, 366-374.
    • (1986) Journal of the American Statistical Association , vol.81 , pp. 366-374
    • Rubin, B.R.1    Schenker, N.2
  • 85
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz, G. (1978), "Estimating the Dimension of a Model,"The Annals of Statistics, 6, 461-464.
    • (1978) The Annals of Statistics , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 88
    • 0000646447 scopus 로고
    • Likelihood ratio tests for model selection and non-nested hypotheses
    • Vuong, Q. H. (1989), "Likelihood Ratio Tests for Model Selection and Non-Nested Hypotheses,"Econometrica, 57, 307-333.
    • (1989) Econometrica , vol.57 , pp. 307-333
    • Vuong, Q.H.1
  • 89
    • 0000167944 scopus 로고
    • Note on the consistency of the maximum likelihood estimate
    • Wald, A. (1949), "Note on the Consistency of the Maximum Likelihood Estimate,"The Annals of Mathematical Statistics, 20, 595-601.
    • (1949) The Annals of Mathematical Statistics , vol.20 , pp. 595-601
    • Wald, A.1
  • 90
    • 0002653782 scopus 로고
    • Methods for analysis of longitudinal data: Blood lead concentrations and cognitive development
    • Waternaux, C., Laird, N. M., and Ware, J. H. (1989), "Methods for Analysis of Longitudinal Data: Blood Lead Concentrations and Cognitive Development,"Journal of the American Statistical Association, 84, 33-41.
    • (1989) Journal of the American Statistical Association , vol.84 , pp. 33-41
    • Waternaux, C.1    Laird, N.M.2    Ware, J.H.3
  • 92
    • 0026565429 scopus 로고
    • Residual plots for repeated measures
    • Weiss, R. E., and Lazaro, C. G. (1992), "Residual Plots for Repeated Measures,"Statistics in Medicine, 11, 115-124.
    • (1992) Statistics in Medicine , vol.11 , pp. 115-124
    • Weiss, R.E.1    Lazaro, C.G.2
  • 93
    • 0024205301 scopus 로고
    • Models for longitudinal data: A generalized estimating equation approach
    • Zeger, S. L., Liang, K. Y., and Albert, P. S. (1988), "Models for Longitudinal Data: A Generalized Estimating Equation Approach,"Biometrics, 44, 1049-1060.
    • (1988) Biometrics , vol.44 , pp. 1049-1060
    • Zeger, S.L.1    Liang, K.Y.2    Albert, P.S.3


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