Assessment & Research

Meta-Analysis of Single-Case Experimental Design using Multilevel Modeling.

Baek et al. (2023) · Behavior modification 2023
★ The Verdict

Use this paper as your cookbook for pooling single-case graphs with multilevel code.

✓ Read this if BCBAs who write or review single-case meta-analyses.
✗ Skip if Clinicians who only run direct therapy and never pool data.

01Research in Context

01

What this study did

Baek et al. (2023) wrote a how-to guide. They show step-by-step ways to pool single-case graphs with multilevel models.

The paper gives code, software tips, and worked examples. No new data were collected.

02

What they found

The authors did not report new effect sizes. They simply show that multilevel modeling can handle the nested shape of SCED data.

03

How this fits with other research

Jamshidi et al. (2018) checked 30 years of SCED meta-analyses. They found most still skip bias tests and misuse old synthesis rules. The new guide answers that gap by giving clearer, modern rules.

Moeyaert et al. (2023) listed the moderators most meta-analyses use: age, diagnosis, gender, with lots of missing values. Their list helps you pick predictors when you follow the new modeling steps.

Vassos et al. (2023) warn that about 1 in 14 SCED graphs starts with a slow change that can hide real effects. The multilevel approach can model that transition phase instead of ignoring it.

04

Why it matters

If you review single-case work, you now have a ready script. Plug your graphs into the multilevel code, add the moderators Mariola lists, and run bias checks that Laleh says are missing. You get a tighter pooled effect and stronger evidence for your next treatment brief.

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Download the paper’s sample code and fit one multilevel model to your last client’s baseline-treatment series.

02At a glance

Intervention
not applicable
Design
methodology paper
Finding
not reported

03Original abstract

Multilevel modeling (MLM) is an approach for meta-analyzing single-case experimental designs (SCED). In this paper, we provide a step-by-step guideline for using the MLM to meta-analyze SCED time-series data. The MLM approach is first presented using a basic three-level model, then gradually extended to represent more realistic situations of SCED data, such as modeling a time variable, moderators representing different design types and multiple outcomes, and heterogeneous within-case variance. The presented approach is then illustrated using real SCED data. Practical recommendations using the MLM approach are also provided for applied researchers based on the current methodological literature. Available free and commercial software programs to meta-analyze SCED data are also introduced, along with several hands-on software codes for applied researchers to implement their own studies. Potential advantages and limitations of using the MLM approach to meta-analyzing SCED are discussed.

Behavior modification, 2023 · doi:10.1177/01454455221144034