Longitudinal Analysis of Adolescents Deviant and Delinquent Behavior: Applications of Latent Class

This article presents applications of different growth mixture models considering unobserved heterogeneity within the framework of Mplus (Muthen & Muthen, 2001a, 2001b, 2004). Latent class growth mixture models are discussed under special consideration of count variables that can be incorporated into the mixtures via the Poisson and the zero-inflated Poisson model. Fourwave panel data from a German criminological youth study (Boers et al., 2002) is used for the model analyses. Three classes can be obtained from the data: Adolescents with almost no deviant and delinquent activities, a medium proportion of adolescents with a low increase of delinquency, and a small number with a larger growth starting on a higher level. Considering the zero inflation of the data results in better model fits compared to the Poisson model only. Linear growth specifications are almost sufficient. The conditional application of the mixture models includes gender and educational level of the schools as time-independent predictor...

[1]  A. Pöge Persönliche Codes bei Längsschnittstudien: ein Erfahrungsbericht , 2005 .

[2]  D. Nagin Group-based modeling of development , 2005 .

[3]  Bengt Muthén,et al.  Latent Variable Analysis: Growth Mixture Modeling and Related Techniques for Longitudinal Data , 2004 .

[4]  Neal O. Jeffries A note on 'Testing the number of components in a normal mixture' , 2003 .

[5]  Bengt Muthén,et al.  Statistical and substantive checking in growth mixture modeling: comment on Bauer and Curran (2003). , 2003, Psychological methods.

[6]  B. Muthén BEYOND SEM: GENERAL LATENT VARIABLE MODELING , 2002 .

[7]  D. Rubin,et al.  Testing the number of components in a normal mixture , 2001 .

[8]  Alan C. Acock,et al.  Latent Growth Modeling of Longitudinal Data: A Finite Growth Mixture Modeling Approach , 2001 .

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

[10]  Daniel S. Nagin,et al.  Same or different , 1971 .

[11]  K. Roeder,et al.  A SAS Procedure Based on Mixture Models for Estimating Developmental Trajectories , 2001 .

[12]  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 .

[13]  Kathryn Roeder,et al.  Modeling Uncertainty in Latent Class Membership: A Case Study in Criminology , 1999 .

[14]  B. Muthén,et al.  Finite Mixture Modeling with Mixture Outcomes Using the EM Algorithm , 1999, Biometrics.

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

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

[17]  K. Land,et al.  How Many Latent Classes of Delinquent/ Criminal Careers? Results from Mixed Poisson Regression Analyses1 , 1998, American Journal of Sociology.

[18]  Bengt Muthen,et al.  10. Latent Variable Modeling of Longitudinal and Multilevel Data , 1997 .

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

[20]  K. Land,et al.  A Comparison of Poisson, Negative Binomial, and Semiparametric Mixed Poisson Regression Models , 1996 .

[21]  K. Land,et al.  AGE, CRIMINAL CAREERS, AND POPULATION HETEROGENEITY: SPECIFICATION AND ESTIMATION OF A NONPARAMETRIC, MIXED POISSON MODEL* , 1993 .

[22]  Diane Lambert,et al.  Zero-inflacted Poisson regression, with an application to defects in manufacturing , 1992 .

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

[24]  Peter M. Bentler,et al.  EQS : structural equations program manual , 1989 .

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

[26]  Richard E. Tremblay,et al.  The Preschool Behaviour Questionnaire: Stability of its Factor Structure Between Cultures, Sexes, Ages and Socioeconomic Classes , 1987 .

[27]  H. Akaike Factor analysis and AIC , 1987 .

[28]  J J McArdle,et al.  Latent growth curves within developmental structural equation models. , 1987, Child development.

[29]  M. Wolfgang,et al.  Delinquency in Two Birth Cohorts , 1983 .

[30]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[31]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[32]  Sheldon M. Ross,et al.  Introduction to probability models , 1975 .

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

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