scholarly journals Assessing consistency of effects when applying multilevel models to single-case data

2020 ◽  
Vol 52 (6) ◽  
pp. 2460-2479
Author(s):  
Rumen Manolov ◽  
John M. Ferron
Methodology ◽  
2020 ◽  
Vol 16 (2) ◽  
pp. 166-185 ◽  
Author(s):  
Eunkyeng Baek ◽  
John J. M. Ferron

Previous research applying multilevel models to single-case data has made a critical assumption that the level-1 error covariance matrix is constant across all participants. However, the level-1 error covariance matrix may differ across participants and ignoring these differences can have an impact on estimation and inferences. Despite the importance of this issue, the effects of modeling between-case variation in the level-1 error structure had not yet been systematically studied. The purpose of this simulation study was to identify the consequences of modeling and not modeling between-case variation in the level-1 error covariance matrices in single-case studies, using Bayesian estimation. The results of this study found that variance estimation was more sensitive to the method used to model the level-1 error structure than fixed effect estimation, with fixed effects only being impacted in the most extreme heterogeneity conditions. Implications for applied single-case researchers and methodologists are discussed.


2019 ◽  
Author(s):  
Rumen Manolov

The lack of consensus regarding the most appropriate analytical techniques for single-case experimental designs data requires justifying the choice of any specific analytical option. The current text mentions some of the arguments, provided by methodologists and statisticians, in favor of several analytical techniques. Additionally, a small-scale literature review is performed in order to explore if and how applied researchers justify the analytical choices that they make. The review suggests that certain practices are not sufficiently explained. In order to improve the reporting regarding the data analytical decisions, it is proposed to choose and justify the data analytical approach prior to gathering the data. As a possible justification for data analysis plan, we propose using as a basis the expected the data pattern (specifically, the expectation about an improving baseline trend and about the immediate or progressive nature of the intervention effect). Although there are multiple alternatives for single-case data analysis, the current text focuses on visual analysis and multilevel models and illustrates an application of these analytical options with real data. User-friendly software is also developed.


2013 ◽  
Vol 38 (4) ◽  
pp. 477-496 ◽  
Author(s):  
Benjamin George Solomon
Keyword(s):  

2016 ◽  
Vol 41 (2) ◽  
pp. 179-228 ◽  
Author(s):  
Rumen Manolov ◽  
Mariola Moeyaert
Keyword(s):  

Author(s):  
Stephen Morley ◽  
Ciara Masterson ◽  
Chris J. Main

2014 ◽  
Vol 50 (1) ◽  
pp. 18-26 ◽  
Author(s):  
Eun Kyeng Baek ◽  
Merlande Petit-Bois ◽  
Wim Van den Noortgate ◽  
S. Natasha Beretvas ◽  
John M. Ferron

2019 ◽  
Vol 88 (4) ◽  
pp. 698-710 ◽  
Author(s):  
Eunkyeng Baek ◽  
S. Natasha Beretvas ◽  
Wim Van den Noortgate ◽  
John M. Ferron

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