22–25 Jul 2025
EAM2025
Atlantic/Canary timezone

Exploring heterogeneity in temporal dynamics with different extensions of time-varying coefficient models

24 Jul 2025, 08:45
15m
Faculty of Social Sciences and Communication. (The Pyramid)/13 - Room (Faculty of Social Sciences and Communication. (The Pyramid))

Faculty of Social Sciences and Communication. (The Pyramid)/13 - Room

Faculty of Social Sciences and Communication. (The Pyramid)

30
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Oral Presentation Statistical analyses Session 14 : "Dynamic and temporal models in psychology"

Speaker

Esther Ulitzsch (University of Oslo)

Abstract

Many psychological interventions aim to uncouple aversive stimuli and negative emotions or cognitions, e.g., the connection between negative triggers and rumination in treatments for anxiety disorders. Understanding whether people differ in when, how effectively, and how enduringly an intervention breaks such links is crucial for its evaluation. Time-varying coefficient models (TVCMs) provide flexible tools for exploring dynamic associations between constructs, approximated by continuous, non-parametric coefficient functions. TVCMs are limited, however, in that they assume coefficient functions to be the same for all persons. We propose and evaluate a flexible, yet parsimonious TVCM extension that allows gauging and quantifying between-person heterogeneity in coefficient functions. To this end, we introduce function-specific latent variables that modulate the coefficient functions, buffering or amplifying them depending on the person's location on the latent variable and the time segment. We illustrate this model extension using intensive longitudinal data collected from 19 patients with anxiety disorders over six weeks — two weeks each before, during, and after an attention training intervention — and explore heterogeneity in the evolving relationship between rumination and nervousness across this period. Our analysis reveals stable rumination-nervousness relationships pre-intervention, varying in strength across individuals. During therapy, the relationship weakens for patients with initially weaker associations but strengthens unexpectedly for those with stronger initial links. Post-intervention, relationships stabilize with minimal rebound effects. To explore how well individual coefficient functions can be approximated by a single latent variable in real data, we contrast model-implied conclusions on individual trajectories against results from case-wise applications of TVCMs.

Oral presentation Investigating heterogeneity in temporal dynamics with a latent variable extension of time-varying coefficient models
Author Esther Ulitzsch
Affiliation University of Oslo
Keywords time-varying coefficients; intensive longitudinal data;

Primary author

Esther Ulitzsch (University of Oslo)

Co-authors

Dr Oliver Lüdtke (IPN - Leibniz Institute for Science and Mathematics Education) Dr Steffen Nestler (University of Münster) Dr Sverre Johnson (University of Oslo) Ms Therese Snuggerud (University of Oslo)

Presentation materials