The use of latent trajectory models in psychopathology research.

Despite the recent surge in the development of powerful modeling strategies to test questions about individual differences in stability and change over time, these methods are not currently widely used in psychopathology research. In an attempt to further the dissemination of these new methods, the authors present a pedagogical introduction to the structural equation modeling based latent trajectory model, or LTM. They review several different types of LTMs, discuss matching an optimal LTM to a given question of interest, and highlight several issues that might be particularly salient for research in psychopathology. The authors augment each section with a review of published applications of these methods in psychopathology-related research to demonstrate the implementation and interpretation of LTMs in practice.

[1]  M. C. Hill,et al.  Evaluating Model Fit , 2005 .

[2]  A. Caspi,et al.  Substance abuse hinders desistance in young adults' antisocial behavior , 2004, Development and Psychopathology.

[3]  John L.P. Thompson,et al.  Missing data , 2004, Amyotrophic lateral sclerosis and other motor neuron disorders : official publication of the World Federation of Neurology, Research Group on Motor Neuron Diseases.

[4]  Kenneth A Bollen,et al.  The role of coding time in estimating and interpreting growth curve models. , 2004, Psychological methods.

[5]  K. Bollen,et al.  Autoregressive Latent Trajectory (ALT) Models A Synthesis of Two Traditions , 2004 .

[6]  P. Curran,et al.  A SAS Macro for Estimating and Visualizing Individual Growth Curves , 2004 .

[7]  John Middleton,et al.  From child to adult. , 2004, The Harvard mental health letter.

[8]  Daniel J Bauer,et al.  Distributional assumptions of growth mixture models: implications for overextraction of latent trajectory classes. , 2003, Psychological methods.

[9]  Patrick J Curran,et al.  Implications of latent trajectory models for the study of developmental psychopathology , 2003, Development and Psychopathology.

[10]  Keith F. Widaman,et al.  New Methods for the Analysis of Change , 2003 .

[11]  T. Rodebaugh,et al.  Expectancy of panic in the maintenance of daily anxiety in panic disorder with agoraphobia: A longitudinal test of competing models , 2002 .

[12]  A. Hussong,et al.  Specifying the relations between affect and heavy alcohol use among young adults. , 2001, Journal of abnormal psychology.

[13]  B. Muthén,et al.  Alcohol use among college students: the effects of prior problem behaviors and change of residence. , 2001, Journal of studies on alcohol.

[14]  T. Wills,et al.  Coping dimensions, life stress, and adolescent substance use: a latent growth analysis. , 2001, Journal of abnormal psychology.

[15]  M. Windle,et al.  Depressive symptoms and cigarette smoking among middle adolescents: prospective associations and intrapersonal and interpersonal influences. , 2001, Journal of consulting and clinical psychology.

[16]  B. Muthén Latent Variable Mixture Modeling , 2001 .

[17]  G. A. Marcoulides,et al.  New developments and techniques in structural equation modeling , 2001 .

[18]  Stephen W. Raudenbush,et al.  Toward a coherent framework for comparing trajectories of individual change. , 2001 .

[19]  Patricio Cumsille,et al.  Second-order latent growth models. , 2001 .

[20]  Linda M. Collins,et al.  New methods for the analysis of change , 2001 .

[21]  Kenneth A. Bollen,et al.  The best of both worlds: Combining autoregressive and latent curve models. , 2001 .

[22]  Bengt Muthén,et al.  Second-generation structural equation modeling with a combination of categorical and continuous latent variables: New opportunities for latent class–latent growth modeling. , 2001 .

[23]  J. Mcardle,et al.  Latent difference score structural models for linear dynamic analyses with incomplete longitudinal data. , 2001 .

[24]  David E. Booth,et al.  Analysis of Incomplete Multivariate Data , 2000, Technometrics.

[25]  G. S. Pettit,et al.  A Cross-Domain Growth Analysis: Externalizing and Internalizing Behaviors During 8 Years of Childhood , 2000, Journal of abnormal child psychology.

[26]  S G West,et al.  Putting the individual back into individual growth curves. , 2000, Psychological methods.

[27]  M. Farrell,et al.  The Effects of Parenting on the Development of Adolescent Alcohol Misuse: A Six-Wave Latent Growth Model. , 2000 .

[28]  P. Allison Multiple Imputation for Missing Data , 2000 .

[29]  Bengt Muthén,et al.  Longitudinal data on families: Growth modeling alternatives , 2000 .

[30]  B. Muthén,et al.  The development of heavy drinking and alcohol-related problems from ages 18 to 37 in a U.S. national sample. , 2000, Journal of studies on alcohol.

[31]  Gerhard Arminger,et al.  Mixtures of conditional mean- and covariance-structure models , 1999 .

[32]  Stanley Wasserman,et al.  Categorical variables in developmental research : methods of analysis , 1999 .

[33]  E. Laws From child to adult , 1999, Child's Nervous System.

[34]  B. Muthén,et al.  The Application of Latent Curve Analysis to Testing Developmental Theories in Intervention Research , 1999, American journal of community psychology.

[35]  Daniel S. Nagin,et al.  Analyzing developmental trajectories: A semiparametric, group-based approach , 1999 .

[36]  Terry E. Duncan,et al.  An Introduction to Latent Variable Growth Curve Modeling: Concepts, Issues, and Application, Second Edition , 1999 .

[37]  J. Schafer Multiple imputation: a primer , 1999, Statistical methods in medical research.

[38]  P. Bentler,et al.  Cutoff criteria for fit indexes in covariance structure analysis : Conventional criteria versus new alternatives , 1999 .

[39]  L. Chassin,et al.  Pathways of Risk for Accelerated Heavy Alcohol Use Among Adolescent Children of Alcoholic Parents , 1998, Journal of abnormal child psychology.

[40]  B. Muthén,et al.  The influence of changes in marital status on developmental trajectories of alcohol use in young adults. , 1998, Journal of studies on alcohol.

[41]  J. A. Calvin Regression Models for Categorical and Limited Dependent Variables , 1998 .

[42]  J. Andrews,et al.  The effect of attitude on the development of adolescent cigarette use. , 1998, Journal of substance abuse.

[43]  R. Hoyle Structural equation modeling: concepts, issues, and applications , 1997 .

[44]  R. MacCallum,et al.  Studying Multivariate Change Using Multilevel Models and Latent Curve Models. , 1997, Multivariate behavioral research.

[45]  F. Lorenz,et al.  Marital Quality and Physical Illness: A Latent Growth Curve Analysis , 1997 .

[46]  F. Lorenz,et al.  Married and recently divorced mothers' stressful events and distress : Tracing change across time , 1997 .

[47]  W. DeSarbo,et al.  Finite-Mixture Structural Equation Models for Response-Based Segmentation and Unobserved Heterogeneity , 1997 .

[48]  E. Stice,et al.  The relation between adolescent alcohol use and peer alcohol use: a longitudinal random coefficients model. , 1997, Journal of consulting and clinical psychology.

[49]  E. Stice,et al.  Alcohol expectancies as potential mediators of parent alcoholism effects on the development of adolescent heavy drinking , 1997 .

[50]  B. Muthén,et al.  Robust inference using weighted least squares and quadratic estimating equations in latent variable modeling with categorical and continuous outcomes , 1997 .

[51]  Michael Windle,et al.  The science of prevention: methodological advances from alcohol and substance abuse research. , 1997 .

[52]  M. Windle Alternative latent-variable approaches to modeling change in adolescent alcohol involvement. , 1997 .

[53]  K. Sher,et al.  Methodological issues in conducting prospective research on alcohol-related behavior: A report from the field. , 1997 .

[54]  Bengt Muthén,et al.  Latent Variable Growth Modeling with Multilevel Data , 1997 .

[55]  Bengt Muthén,et al.  General Longitudinal Modeling of Individual Differences in Experimental Designs: A Latent Variable Framework for Analysis and Power Estimation , 1997 .

[56]  G. A. Marcoulides,et al.  Advanced structural equation modeling : issues and techniques , 1996 .

[57]  B. Muthén,et al.  The relation between heavy alcohol use and bar patronage: a latent growth model. , 1996, Journal of studies on alcohol.

[58]  Murray D. Smith,et al.  Structural Equation Modeling: Concepts, Issues, and Applications , 1996 .

[59]  L. Chassin,et al.  The relation of parent alcoholism to adolescent substance use: a longitudinal follow-up study. , 1996, Journal of abnormal psychology.

[60]  James L. Arbuckle,et al.  Full Information Estimation in the Presence of Incomplete Data , 1996 .

[61]  Phil A. Silva,et al.  From child to adult : the Dunedin multidisciplinary health and development study , 1996 .

[62]  John J. McArdle,et al.  Multilevel Models From a Multiple Group Structural Equation Perspective , 1996 .

[63]  D. Hand,et al.  Practical Longitudinal Data Analysis , 1996 .

[64]  Bengt Muthén,et al.  Growth Modeling with Binary Responses , 1996 .

[65]  S. West,et al.  The robustness of test statistics to nonnormality and specification error in confirmatory factor analysis. , 1996 .

[66]  D. A. Kenny,et al.  The trait-state-error model for multiwave data. , 1995, Journal of consulting and clinical psychology.

[67]  Stephen G. West,et al.  Structural equation models with non-normal variables: Problems and remedies , 1995 .

[68]  R. Bosker Boekbespreking van "A.S. Bryk & S.W. Raudenbusch - Hierarchical linear models: Applications and data analysis methods" : Sage Publications, Newbury Parki, London/New Delhi 1992 , 1995 .

[69]  John B. Willett,et al.  Using covariance structure analysis to detect correlates and predictors of individual change over time , 1994 .

[70]  F. Lorenz,et al.  Trajectories of Stressful Life Events and Depressive Symptoms during Adolescence. , 1994 .

[71]  M. Stoolmiller,et al.  Antisocial Behavior, Delinquent Peer Association, and Unsupervised Wandering for Boys: Growth and Change from Childhood to Early Adolescence. , 1994, Multivariate behavioral research.

[72]  Larry E. Toothaker,et al.  Multiple Regression: Testing and Interpreting Interactions , 1991 .

[73]  T. Moffitt Adolescence-limited and life-course-persistent antisocial behavior: a developmental taxonomy. , 1993, Psychological review.

[74]  R. Steyer,et al.  A latent state-trait model (not only) for social desirability. , 1993 .

[75]  J. S. Long,et al.  Testing Structural Equation Models , 1993 .

[76]  R. MacCallum,et al.  Model modifications in covariance structure analysis: the problem of capitalization on chance. , 1992, Psychological bulletin.

[77]  Anthony S. Bryk,et al.  Hierarchical Linear Models: Applications and Data Analysis Methods , 1992 .

[78]  Linda M. Collins,et al.  Best Methods for the Analysis of Change: Recent Advances, Unanswered Questions, Future Directions , 1991 .

[79]  J. Mcardle Structural Models of Developmental Theory in Psychology , 1991 .

[80]  Michael W. Browne,et al.  Best methods for the analysis of change: Recent advances, unanswered questions, future directions. , 1991 .

[81]  Albert Satorra,et al.  Robustness issues in structural equation modeling: a review of recent developments , 1990 .

[82]  William Meredith,et al.  Latent curve analysis , 1990 .

[83]  Stanley Wasserman,et al.  Sociological Methodology, 1987 , 1989 .

[84]  J. Mcardle Dynamic but Structural Equation Modeling of Repeated Measures Data , 1988 .

[85]  S. Raudenbush,et al.  Application of Hierarchical Linear Models to Assessing Change , 1987 .

[86]  P. Allison Estimation of Linear Models with Incomplete Data , 1987 .

[87]  Kenneth A. Bollen,et al.  Total, Direct, and Indirect Effects in Structural Equation Models , 1987 .

[88]  D. A. Kenny,et al.  The moderator-mediator variable distinction in social psychological research: conceptual, strategic, and statistical considerations. , 1986, Journal of personality and social psychology.

[89]  John B. Willett,et al.  Understanding correlates of change by modeling individual differences in growth , 1985 .

[90]  M. Browne Asymptotically distribution-free methods for the analysis of covariance structures. , 1984, The British journal of mathematical and statistical psychology.

[91]  B. Muthén A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators , 1984 .

[92]  B. Muthén Latent variable structural equation modeling with categorical data , 1983 .

[93]  J. Dwyer,et al.  Statistical Models for the Social and Behavioral Sciences , 1983 .

[94]  Ronald G. Stansfield,et al.  Sociological Methodology 1982 , 1983 .

[95]  F. Drasgow,et al.  The polyserial correlation coefficient , 1982 .

[96]  M. Sobel Asymptotic Confidence Intervals for Indirect Effects in Structural Equation Models , 1982 .

[97]  Ulf Olsson,et al.  Maximum likelihood estimation of the polychoric correlation coefficient , 1979 .

[98]  Bengt Muthén,et al.  A Structural Probit Model with Latent Variables , 1979 .

[99]  Robert D. Williams Criteria for Competence , 1979 .

[100]  D. Rubin INFERENCE AND MISSING DATA , 1975 .

[101]  Raymond B. Cattell,et al.  Handbook of multivariate experimental psychology , 1968 .

[102]  M. Tiku Approximating the general non-normal variance-ratio sampling distributions , 1964 .

[103]  C. R. Rao,et al.  Some statistical methods for comparison of growth curves. , 1958 .

[104]  Ledyard R Tucker,et al.  Determination of parameters of a functional relation by factor analysis , 1958 .

[105]  John Wishart,et al.  GROWTH-RATE DETERMINATIONS IN NUTRITION STUDIES WITH THE BACON PIG, AND THEIR ANALYSIS , 1938 .

[106]  L. J. Reed,et al.  ANTHROPOMETRIC STUDIES OF INDIVIDUAL GROWTH.: II. AGE, WEIGHT, AND RATE OF GROWTH IN WEIGHT, ELEMENTARY SCHOOL CHILDREN , 1937 .