22–25 Jul 2025
EAM2025
Atlantic/Canary timezone

Time-varying continuous-time models: Extending the framework for dynamic parameters that change over time

24 Jul 2025, 09:00
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
Show room on map
Oral Presentation Statistical analyses Session 14 : "Dynamic and temporal models in psychology"

Speakers

Martin Hecht (HSU Hamburg)Mr Julian Lohmann (CAU Kiel)Prof. Steffen Zitzmann (MSH Hamburg)

Abstract

Continuous-time (CT) modeling has become a widely used approach for analyzing longitudinal psychological data, particularly in ecological momentary assessment (EMA) studies. Traditional CT models assume stationarity—i.e., stable process means and (co)variances over time—which may not adequately capture real-world psychological dynamics. Nonstationarity, which can appear due to time-varying auto- and cross-effects, is often expected in psychological processes but remains underexplored in CT modeling.

In this study, we extend an established CT modeling framework for dynamic parameters that change over time, enabling the analysis of nonstationary processes. We implemented this model in Stan and conducted a proof-of-concept simulation study, demonstrating satisfactory parameter recovery under a very limited set of conditions. An empirical illustration using EMA data on depression and loneliness further highlights the practical applicability of the approach.

While this work provides an initial methodological contribution, further refinement is required, particularly in estimation stability, model complexity, and usability. Future research should explore extensions such as measurement error models, individual differences in dynamic change, and nonlinear time dependencies. This study advances the methodological toolbox for studying psychological processes in their full temporal complexity.

Oral presentation Time-varying continuous-time models: Extending the framework for dynamic parameters that change over time
Author Martin Hecht
Affiliation Helmut Schmidt University Hamburg
Keywords continuous-time modeling, nonstationarity

Primary authors

Martin Hecht (HSU Hamburg) Mr Julian Lohmann (CAU Kiel) Prof. Steffen Zitzmann (MSH Hamburg)

Presentation materials