ArticleStructural equation modeling : a multidisciplinary journal2019
Time-Varying Effect Sizes for Quadratic Growth Models in Multilevel and Latent Growth Modeling.
Article in Structural equation modeling : a multidisciplinary journal, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
18 citing papers in PubMed.
- Beyond Jacobson and Truax: Estimation of Clinical Significance Trajectories in the Coping Power Intervention Using Measurement Error-Corrected Multilevel Modeling.Behavior therapy · 2025Trial
- Physiological Response to the COVID-19 Vaccine: Insights From a Prospective, Randomized, Single-Blinded, Crossover Trial.Journal of medical Internet research · 2024Trial
- Web-based interpretation bias training to reduce anxiety: A sequential, multiple-assignment randomized trial.Journal of consulting and clinical psychology · 2024Trial
- Online cognitive bias modification for interpretation to reduce anxious thinking during the COVID-19 pandemic.Behaviour research and therapy · 2024Trial
- Combining behavioral harm-reduction treatment and extended-release naltrexone for people experiencing homelessness and alcohol use disorder in the USA: a randomised clinical trial.The lancet. Psychiatry · 2021Trial
- Comparative effectiveness of social-contextual treatments for improving substance-related problems among Black adults: An individual-level data synthesis.Addiction (Abingdon, England) · 2026Article
- A Framework for Estimating Posttreatment Moderation of Treatment-by-Dosage Effects in Individual-Patient Meta-Analysis: An Illustration Using Project Harmony.Clinical psychological science : a journal of the Association for Psychological Science · 2025Article
- Behavioral engagement patterns and psychosocial outcomes in web-based interpretation bias training for anxiety.PLOS digital health · 2025Article
- Longitudinal analysis of the ABCD® study.Developmental cognitive neuroscience · 2025Review
- Shifting Episodic Prediction With Online Cognitive Bias Modification: A Randomized Controlled Trial.Clinical psychological science : a journal of the Association for Psychological Science · 2023Article
- Regression-Equivalent Effect Sizes for Latent Growth Modeling and Associated Null Hypothesis Significance Tests.Structural equation modeling : a multidisciplinary journal · 2023Article
- Adapting the multilevel model for estimation of the reliable change index (RCI) with multiple timepoints and multiple sources of error.International journal of methods in psychiatric research · 2022Article
- Epigenome-wide association study of level and change in cognitive abilities from midlife through late life.Clinical epigenetics · 2021Article
- Effect of Parameterization on Statistical Power and Effect Size Estimation in Latent Growth Modeling.Structural equation modeling : a multidisciplinary journal · 2021Article
- Longitudinal Physical Development of Future Professional Male Soccer Players: Implications for Talent Identification and Development?Frontiers in sports and active living · 2020Article
- Mediation analysis with binary outcomes: Direct and indirect effects of pro-alcohol influences on alcohol use disorders.Addictive behaviors · 2019Article
- New Approaches for Estimation of Effect Sizes and their Confidence Intervals for Treatment Effects from Randomized Controlled Trials.The quantitative methods for psychology · 2019Article
- Association of organizational culture and climate with variation in the clinical outcomes of collaborative care for maternal depression in community health centers.Implementation research and practiceArticle
Corrections and comments
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Authors and funding
1 author.
Funding
Abstract
Multilevel and latent growth modeling analysis (GMA) is often used to compare independent groups in linear random slopes of outcomes over time, particularly in randomized controlled trials. The unstandardized coefficient for the effect of group on the slope from a linear GMA can be transformed into a model-estimated effect size for the group difference at the end of a study. Because effect sizes vary non-linearly in quadratic GMA, the effect size at the end of a study using quadratic GMA cannot be derived from a single coefficient, and cannot be used to estimate effect sizes at intermediate time points with backwards extrapolation. This article formulates equations and associated input commands in Mplus for time-varying effect sizes for quadratic GMA. Illustrative analyses that produced these time-varying effect sizes were presented, and Monte Carlo study found that bias in the effect sizes and their confidence intervals was ignorable.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.