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Synthesizing Single-Case Experimental Designs: Modeling Complex Data Structures

delete2025-10-01
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PRE
AI
K
Ke Cheng
Z
Zhiyao Yi
M
Mariola Moeyaert
S
S. Natasha Beretvas
W
Wim Van Den Noortgate
J
John M. Ferron *
DOI:10.1007/s10864-025-09602-xdelete
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Abstract

Abstract

En 中文
The application of multilevel modeling to analyze data from multiple single-case studies can lead to challenges in selecting and estimating an appropriate model. Models that are too complex may not be well estimated and models that are too simple may lead to biases in effect estimates and their standard errors. Researchers aim to select a model that answers their research question(s) and is simple enough to be estimated well, but complex enough that effect estimates have little to no bias and inferences are accurate. This Monte Carlo simulation study indexed the consequences of using mixed linear models with varying degrees of complexity to approximate nonlinear processes that vary within and across cases. We found that modeling the treatment phase data with two linear pieces produced less biased treatment effect estimates and more accurate inferences than modeling the treatment phase with a quadratic trajectory, and that estimating more complex heterogeneous variance structures led to more accurate confidence intervals than assuming a simpler variance structure.
Keywords:
Single-case design
Multiple-baseline
Multilevel models
Non-linear models

Journal

J
Journal of Behavioral Education
IF:
1.2
Papers:
34
Citations:
1.1K

Organization

U
University of South Florida
Scholars:
526
Papers: 305
Citations: 2.1W
T
temple university
Scholars:
447
Papers: 282
Citations: 0
S
state university of new york (suny) system
Scholars:
6.5W
Papers: 5.8W
Citations: 65
P
pennsylvania commonwealth system of higher education (pcshe)
Scholars:
12.9W
Papers: 11.7W
Citations: 177
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Cited Papers

Cited Papers

An Improved Effect Size for Single-Case Research: Nonoverlap of All Pairs
err2009-12-01
err1.1K
PREAI
errParker, Richard I.; Vannest, Kimberly
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Analysis of single-case experimental count data using the linear mixed effects model: A simulation study
err2018-08-13
err0
errOAAI
errLies Declercq; Laleh Jamshidi; Belén Fernández-Castilla; S. Natasha Beretvas; Mariola Moeyaert; John M. Ferron; Wim Van den Noortgate
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Multilevel Modeling of Single-Case Data: A Comparison of Maximum Likelihood and Bayesian Estimation
err2017-12-01
err41
errOAAI
errMoeyaert, Mariola; Rindskopf, David; Onghena, Patrick; Van den Noortgate, Wim
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A systematic review of single-case experimental design meta-analyses: characteristics of study designs, data, and analyses
err2022-06-22
err0
PREAI
errLaleh Jamshidi; Mieke Heyvaert; Lies Declercq; Belén Fernández-Castilla; John M. Ferron; Mariola Moeyaert; S. Natasha Beretvas; Patrick Onghena; Wim Van den Noortgate
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Making treatment effect inferences from multiple-baseline data: The utility of multilevel modeling approaches
err2009-05-01
err0
errOAAI
errJohn M. Ferron; Bethany A. Bell; Melinda R. Hess; Gianna Rendina-Gobioff; Susan T. Hibbard
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Estimating intervention effects across different types of single-subject experimental designs: Empirical illustration.
err2015-03-01
err0
PREAI
errMariola Moeyaert; Maaike Ugille; John M. Ferron; Patrick Onghena; Mieke Heyvaert; S. Natasha Beretvas; Wim Van den Noortgate
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