REFERENCES
- Dagum , Bee E. , Bianconcini , S. and Monari , P. 2009 . “ Nonlinearity in the analysis of longitudinal data. ” . In Statistical methods for the evaluation of educational services and quality of products Edited by: Monari , P. , Bini , M. , Piccolo , D. and Salmaso , L. 47 – 60 . Berlin , , Germany : Physica-Verlag. .
- Bianconcini , S. , Cagnone , S. , Mignani , S. and Monari , P. 2007 . A latent curve analysis of unobserved heterogeneity in university student achievements . Statistica , 1 : 40 – 56 .
- Bianconcini , S. and Cagnone , S. 2011 . A general multivariate latent growth model with applications to student achievement . Journal of Educational and Behavioral Statistics , forthcoming
- Bianconcini , S. and Cagnone , S. 2011 . Multivariate latent growth models for mixed data with covariate effects . Communication in Statistics: Theory and Methods , forthcoming
- Bollen , K. A. and Curran , P. J. 2004 . Autoregressive latent trajectory (ALT) models: A synthesis of two traditions . Sociological Methods and Research , 32 : 336 – 383 .
- Curran , P. J. and Bollen , K. A. 2001 . “ The best of both worlds: Combining autoregressive and latent curve models. ” . In New methods for the analysis of change Edited by: Collins , L. and Sayer , A. G. 107 – 135 . Washington , DC : American Psychological Association. .
- Delsing , M. J. M. H. and Oud , J. H. L. 2008 . Analyzing reciprocal relationships by means of the continuous-time autoregressive latent trajectory model . Statistica Neerlandica , 62 ( 1 ) : 58 – 82 .
- Du Toit , S. H. C. and Cudeck , R. 2001 . “ The analysis of nonlinear random coefficient regression models with LISREL using constraints. ” . In Structural equation modeling: Present and future Edited by: Cudeck , R. , du Toit , S. and Sorbom , D. 259 – 278 . Lincolnwood , IL : Scientific Software International. .
- Ferrer , E. and McArdle , J. J. 2010 . Longitudinal modeling of developmental changes in psychological research . Current Directions in Psychological Science , 19 ( 3 ) : 149 – 154 .
- Ghisletta , P. and McArdle , J. J. 2001 . Latent growth curve analyses of the development of height . Structural Equation Modeling: A Multidisciplinary Journal , 8 ( 4 ) : 531 – 555 .
- Goldstein , H. , Healy , M. J. R. and Rasbash , J. 1994 . Multilevel time series models with applications to repeated measures data . Statistics in Medicine , 13 : 1643 – 1655 .
- Grady , M. W. and Beretvas , S. N. 2010 . Incorporating student mobility in achievement growth modeling: A cross-classified multiple membership growth curve model . Multivariate Behavioral Research , 45 : 393 – 419 .
- Guttman , L. 1954 . “ A new approach to factor analysis: The radex. ” . In Mathematical thinking in the social sciences Edited by: Lazarfeld , P. F. 258 – 348 . New York , NY : Columbia University Press. .
- Hamaker , E. L. 2004 . Conditions for the equivalence of the autoregressive latent trajectory model and a latent growth curve model with autoregressive disturbances . Sociological Methods and Research , 33 ( 3 ) : 404 – 416 .
- Jöreskog , K. G. 1970 . Estimation and testing of simplex models . British Journal of Mathematical and Statistical Psychology , 23 : 121 – 145 .
- Kenny , D. A. and Zautra , A. 2001 . “ Trait-state models for longitudinal data. ” . In New methods for the analysis of change Edited by: Collins , L. M. and Sayer , A. G. 243 – 263 . Washington , DC : American Psychological Association. .
- Kline , R. B. 2005 . Principles and practice of structural equation modeling New York , NY : Guilford Press. .
- Mandys , F. , Dolan , C. V. and Molenaar , P. C. M. 1994 . Two aspects of the simplex model: Goodness of fit to linear growth curve structures and the analysis of mean trends . Journal of Educational and Behavioral Statistics , 19 ( 3 ) : 201 – 215 .
- McArdle , J. J. 1988 . “ Dynamic but structural equation modeling of repeated measures data. ” . In Handbook of multivariate experimental psychology Edited by: Nesselroade , J. R. and Cattell , R. B. 561 – 614 . New York : Plenum. .
- McArdle , J. J. 2001 . “ A latent difference score approach to longitudinal dynamic structural analysis. ” . In Structural equation modeling: Present and future Edited by: Cudeck , R. , du Toit , S. and Sorbom , D. 342 – 380 . Lincolnwood , IL : Scientific Software International. .
- McArdle , J. J. 2009 . Latent variable modeling of longitudinal data . Annual Review of Psychology , 60 : 577 – 605 .
- McArdle , J. J. and McDonald , R. P. 1984 . Some algebraic properties of the reticular action model for moment structures . British Journal of Mathematical and Statistical Psychology , 37 : 234 – 251 .
- Meredith , W. and Tisak , J. 1990 . Latent curve analysis . Psychometrika , 55 : 107 – 122 .
- R Development Core Team . 2008 . R: A language and environment for statistical computing. Vienna , , Austria : R Foundation for Statistical Computing. .
- Rao , C. R. 1958 . Some statistical methods for comparison of growth curves . Biometrika , 51 : 83 – 90 .
- Raykov , T. 1998 . Satisfying a simplex structure is simpler than it should be: A latent curve analysis revisit . Multivariate Behavioral Research , 33 : 343 – 363 .
- Rogosa , D. R. and Willett , J. B. 1985 . Satisfying a simplex structure is simpler than it should be . Journal of Educational Statistics , 10 : 99 – 107 .
- Rovine , M. J. and Molenaar , P. C. M. 2005 . Relating factor models for longitudinal data to quasi-simplex and NARMA models . Multivariate Behavioral Research , 40 : 83 – 114 .
- Tucker , L. R. 1958 . Determination of parameters of a functional relation by factor analysis . Psychometrika , 23 : 19 – 23 .
- Voelkle , M. C. 2008 . Reconsidering the use of autoregressive latent trajectory (ALT) models . Multivariate Behavioral Research , 43 : 564 – 591 .