Beyond the Cross-Lagged Panel Model: Next-generation statistical tools for analyzing interdependencies across the life course.

Abstract For decades, researchers have employed the Cross-Lagged Panel Model (CLPM) to analyze the interactions and interdependencies of a wide variety of inner- or supra-individual variables across the life course. However, in the last years the CLPM has been criticized for its underlying assumptions and several alternative models have been proposed that allow to relax these assumptions. With the Random-Intercept CLPM, the Autoregressive Latent Trajectory Model with Structured Residuals, and the Dual Change Score Model, we describe three of the most prominent alternatives to the CLPM and provide an impression about how to interpret the results obtained with these models. To this end, we illustrate the use of the presented models with an empirical example on the interplay between self-esteem and relationship satisfaction. We provide R and Mplus scripts that might help life course researchers to use these novel and powerful alternatives to the CLPM in their own research.

[1]  Susan M Resnick,et al.  Recent Changes Leading to Subsequent Changes: Extensions of Multivariate Latent Difference Score Models , 2012, Structural equation modeling : a multidisciplinary journal.

[2]  J. Oud,et al.  An SEM approach to continuous time modeling of panel data: relating authoritarianism and anomia. , 2012, Psychological methods.

[3]  Franz J. Neyer,et al.  The Dynamics of Self–Esteem in Partner Relationships , 2015 .

[4]  C. Hertzog,et al.  Assessing psychological change in adulthood: an overview of methodological issues. , 2003, Psychology and aging.

[5]  Manuel C Voelkle,et al.  Reconsidering the Use of Autoregressive Latent Trajectory (ALT) Models , 2008, Multivariate behavioral research.

[6]  E. Hamaker,et al.  On the Trajectories of the Predetermined ALT Model: What Are We Really Modeling? , 2011 .

[7]  Lawrence S. Wrightsman Personality development in adulthood , 1988 .

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

[9]  Patrick J Curran,et al.  Have Multilevel Models Been Structural Equation Models All Along? , 2003, Multivariate behavioral research.

[10]  Roel Bosker,et al.  Multilevel analysis : an introduction to basic and advanced multilevel modeling , 1999 .

[11]  M. Willoughby,et al.  On the Practical Interpretability of Cross-Lagged Panel Models: Rethinking a Developmental Workhorse. , 2017, Child development.

[12]  Felix D. Schönbrodt,et al.  The Social Consequences and Mechanisms of Personality: How to Analyse Longitudinal Data from Individual, Dyadic, Round–Robin and Network Designs , 2015 .

[13]  M. Donnellan,et al.  Stability of self-esteem across the life span. , 2003, Journal of personality and social psychology.

[14]  Kenneth A. Bollen,et al.  An Overview of the Autoregressive Latent Trajectory (ALT) Model , 2010 .

[15]  J. Mcardle Latent variable modeling of differences and changes with longitudinal data. , 2009, Annual review of psychology.

[16]  P. Allison Fixed Effects Regression Models , 2009 .

[17]  Tyler J VanderWeele,et al.  A marginal structural model analysis for loneliness: implications for intervention trials and clinical practice. , 2011, Journal of consulting and clinical psychology.

[18]  J. Oud,et al.  Continuous time modelling with individually varying time intervals for oscillating and non-oscillating processes. , 2013, The British journal of mathematical and statistical psychology.

[19]  Stephanie T. Lane,et al.  The separation of between-person and within-person components of individual change over time: a latent curve model with structured residuals. , 2014, Journal of consulting and clinical psychology.

[20]  Yves Rosseel,et al.  lavaan: An R Package for Structural Equation Modeling , 2012 .

[21]  Ellen L. Hamaker,et al.  Conditions for the Equivalence of the Autoregressive Latent Trajectory Model and a Latent Growth Curve Model With Autoregressive Disturbances , 2005 .

[22]  J. C. Biesanz,et al.  Autoregressive longitudinal models. , 2012 .

[23]  J. Mcardle,et al.  Advanced studies of individual differences linear dynamic models for longitudinal data analysis. , 2001 .

[24]  Timothy J. Robinson,et al.  Multilevel Analysis: Techniques and Applications , 2002 .

[25]  Laura Castiglioni,et al.  Panel analysis of intimate relationships and family dynamics (pairfam): conceptual framework and design , 2011 .

[26]  Kevin J. Grimm,et al.  Using residualized change versus difference scores for longitudinal research , 2018 .

[27]  Rex B. Kline,et al.  Principles and Practice of Structural Equation Modeling , 1998 .

[28]  Patrick J Curran,et al.  Twelve Frequently Asked Questions About Growth Curve Modeling , 2010, Journal of cognition and development : official journal of the Cognitive Development Society.

[29]  U. Orth,et al.  SELF-ESTEEM AND RELATIONSHIP SATISFACTION 1 Development of Self-Esteem and Relationship Satisfaction in Couples: Two Longitudinal Studies , 2016 .

[30]  Keith F Widaman,et al.  PERSONALITY PROCESSES AND INDIVIDUAL DIFFERENCES Life-Span Development of Self-Esteem and Its Effects on Important Life Outcomes , 2012 .

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

[32]  Nilam Ram,et al.  Using simple and complex growth models to articulate developmental change: Matching theory to method , 2007 .

[33]  Johan H. L. Oud,et al.  Relating Latent Change Score and Continuous Time Models , 2015 .

[34]  Ellen L Hamaker,et al.  A critique of the cross-lagged panel model. , 2015, Psychological methods.

[35]  Eva C Luciano,et al.  Development of Self-Esteem From Age 4 to 94 Years: A Meta-Analysis of Longitudinal Studies , 2018, Psychological bulletin.