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Accounting for Nuisance Trends Using Gaussian Processes in Dynamic Structural Equation Modeling

Bibliographic Data

ID21641745
AuthorsReginald Ziedzor (Amplify Education, Inc), Jennifer Koran (0000-0003-2841-4662, Southern Illinois University, corresponding author)
Year2026
Pages1-14
Publication date2026-03-05
Open AccessNo
TypeARTICLE
VenueStructural Equation Modeling: A Multidisciplinary Journal (JOURNAL)
Journal identifiersISSN: 1070-5511 • E-ISSN: 1532-8007
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/10705511.2025.2609286
OpenAlexW7134008862
LanguageEN
References cited26

In modeling intensive longitudinal data with the dynamic structural equation modeling framework, this demonstration analyzes the impact of Gaussian process priors in the presence or absence of a significant trend component on the parameter estimates obtained through Bayesian analysis. The results show that even when not the focus of a research study, failing to account for the presence of trend may severely impact statistical inference and Gaussian processes present a viable option for accounting for them. Also, in the absence of trends, Gaussian processes do not impact the quality of parameter estimates when introduced in an over-specified model

Gaussian · Gaussian process · Nuisance · Nuisance parameter · Structural equation modeling · Advanced Multi-Objective Optimization Algorithms · Gaussian Processes and Bayesian Inference · Probabilistic and Robust Engineering Design

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