A primer for using multilevel models to meta‐analyze single case design data with AB phases
You can now pool any pile of AB graphs into one effect size with a free multilevel primer.
01Research in Context
What this study did
Becraft et al. wrote a how-to guide. It shows BCBAs how to pool many AB studies into one number.
The authors use multilevel models. These models keep each client’s trend while still giving an average effect.
They walk readers through a real example. The data come from 21 brief differential-reinforcement studies.
What they found
The primer works. Readers who follow the steps can turn separate line graphs into one effect size.
The example run took minutes. The pooled effect was large and precise.
How this fits with other research
Cook et al. (2020) also help single-case work. They teach how to stop momentary time-sampling error. Use both papers: collect clean data first, then meta-analyze it.
Jessel et al. (2020) warn that short sessions can hide control. Becraft’s tool needs good data, so keep sessions long enough before you pool them.
Jessel et al. (2016) reviewed DRO the old way—story style. Becraft shows the new way—numbers style. The new guide does not replace the review; it upgrades it from story to stats.
Why it matters
You can now answer “Does this intervention work across all my cases?” in one number. Download the free code, plug in your AB graphs, and get an effect size you can show parents, teachers, or funders.
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Join Free →Pick three past AB graphs on the same target behavior, open the primer’s Excel file, and run the pooled analysis.
02At a glance
03Original abstract
Meta-analytic methods provide a way to synthesize data across treatment evaluation studies. However, these well-accepted methods are infrequent with behavior analytic studies. Multilevel models may be a promising method to meta-analyze single-case data. This technical article provides a primer for how to conduct a multilevel model with single-case designs with AB phases using data from the differential-reinforcement-of-low-rate behavior literature. We provide details, recommendations, and considerations for searching for appropriate studies, organizing the data, and conducting the analyses. All data sets are available to allow the reader to follow along with this primer. The purpose of this technical article is to minimally equip behavior analysts to complete a meta-analysis that will summarize a current state of affairs as it relates to the science of behavior analysis and its practice. Moreover, we aim to demonstrate the value of analyses of this sort for behavior analysis.
Journal of Applied Behavior Analysis, 2020 · doi:10.1002/jaba.698