scholarly journals Bayesian Power Equivalence in Latent Growth Curve Models

2019 ◽  
Author(s):  
Angelika Stefan ◽  
Timo von Oertzen
Keyword(s):  
Social Sciences ◽  
Growth Curve ◽  
Gold Standard ◽  
Latent Structure ◽  
Latent Growth Curve ◽  
Latent Growth ◽  
Growth Curve Models ◽  
Latent Growth Curve Models ◽  
The Social ◽  
Design Factors

Longitudinal studies are the gold standard for research on time-dependentphenomena in the social sciences. However, they often entail high costs dueto multiple measurement occasions and a long overall study duration. It istherefore useful to optimize these design factors while maintaining a highinformativeness of the design. Von Oertzen and Brandmaier (2013) appliedpower equivalence to show that Latent Growth Curve Models (LGCMs)with different design factors can have the same power for likelihood-ratiotests on the latent structure. In this paper, we show that the notion ofpower equivalence can be extended to Bayesian hypothesis tests of the latentstructure constants. Specifically, we show that the results of a Bayes FactorDesign Analysis (BFDA; Schönbrodt & Wagenmakers, 2018) of two powerequivalent LGCMs are equivalent. This will be useful for researchers whoaim to plan for compelling evidence instead of frequentist power and providesa contribution towards more efficient procedures for BFDA.

scholarly journals The Mindful Adolescent: Developmental Changes in Nonreactivity to Inner Experiences during the Transition to High School, and Relations to Stress and Positive Affect

2018 ◽  
Author(s):  
Brian Galla ◽  
Eli Tsukayama ◽  
Daeun Park ◽  
Alisa Yu ◽  
Angela Duckworth
Keyword(s):  
High School ◽  
Middle School ◽  
Positive Affect ◽  
Perceived Stress ◽  
Growth Curve ◽  
Developmental Change ◽  
Latent Growth Curve ◽  
Latent Growth ◽  
Growth Curve Models ◽  
Latent Growth Curve Models

Little is known about the naturalistic development of mindfulness in adolescence, and whether changes in this mental faculty are associated with perceived stress and emotional well-being. The current longitudinal study examined the development of one dimension of mindfulness, nonreactivity to inner experience, in a racially and socioeconomically diverse sample (N = 1,657) during the transition from middle school to high school. Students participated in up to four assessment waves, from fall of 8th grade through spring of 9th grade, during which they completed self-report measures assessing nonreactivity, perceived stress, and positive affect. Latent growth curve models indicated that levels of nonreactivity increased linearly during the two-year study period. Developmental change in nonreactivity varied minimally by gender, socioeconomic status, and race/ethnicity. Parallel process latent growth curve models showed that changes in nonreactivity were associated with concomitant reductions in perceived stress and increases in positive affect. Random intercept cross-lagged panel models showed that within-person nonreactivity prospectively predicted changes in perceived stress and positive affect. This is the first study to track naturalistic developmental change in mindfulness during adolescence. Results suggest that the nonreactivity dimension of mindfulness may boost resilience during the transition from middle school to high school.

scholarly journals Predicting change trajectories of neuroticism from baseline brain structure using whole brain analyses and latent growth curve models in adolescents

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Simone Kühn ◽  
Anna Mascherek ◽  
Tobias Banaschewski ◽  
Arun L. W. Bokde ◽  
Christian Büchel ◽  
...  
Keyword(s):  
Growth Curve ◽  
Brain Structure ◽  
Latent Growth Curve ◽  
Latent Growth ◽  
Change Trajectories ◽  
Whole Brain ◽  
Growth Curve Models ◽  
Latent Growth Curve Models

scholarly journals Evaluating the Power of Latent Growth Curve Models to Detect Individual Differences in Change

2008 ◽  
Vol 15 (4) ◽  
pp. 541-563 ◽  
Author(s):  
Christopher Hertzog ◽  
Timo von Oertzen ◽  
Paolo Ghisletta ◽  
Ulman Lindenberger
Keyword(s):  
Individual Differences ◽  
Growth Curve ◽  
Latent Growth Curve ◽  
Latent Growth ◽  
Growth Curve Models ◽  
Latent Growth Curve Models

scholarly journals A magnifying glass for the study of coupled developmental changes: Combining psychological networks and latent growth models

2021 ◽  
Author(s):  
Marie Katharina Deserno ◽  
Maien Sachisthal ◽  
Sacha Epskamp ◽  
Maartje Eusebia Josefa Raijmakers
Keyword(s):  
Growth Curve ◽  
Structural Equation ◽  
Growth Parameter ◽  
Developmental Theory ◽  
Latent Growth Curve ◽  
Developmental Changes ◽  
Equation Modeling ◽  
Latent Growth ◽  
Growth Curve Models ◽  
Latent Growth Curve Models

In recent years, methodological advances for analyzing developmental data are coming thick and fast. Two of the most popular and rapidly developing frameworks are (i) longitudinal structural equation modeling and (ii) network modeling. The present paper outlines the incremental gain in what we can learn from data about co-developing skills and challenges when using these two frameworks in tandem. First, we discuss the proposed analytic paradigm in the context of fundamental questions in developmental psychology. Second, we present two different paths to formalize such questions, introducing, first, a recently developed network model for longitudinal panel data and, second, the notion of growth parameter networks based on latent growth curve models. Used in tandem, they can provide new insights into the longitudinal co-development of developmental domains. Specifically, we focus on integrating growth parameters from latent growth curve models into networks and analyzing them as such. Third, we illustrate these analytic steps with an empirical example using longitudinal data from the Millenium Cohort Study (N=7623). As illustrated and discussed in the real data example, the proposed approach offers a magnifying glass to the study of coupled developmental changes. Teasing apart the processes underlying the heterogeneity of childhood development can, in turn, add to substantive developmental theory.

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