ABA Fundamentals

Testing for transitive class containment as a feature of hierarchical classification.

Slattery et al. (2011) · Journal of the experimental analysis of behavior 2011
★ The Verdict

Arbitrary stimuli plus naming can unlock transitive class containment when look-alike cues fail.

✓ Read this if BCBAs teaching stimulus equivalence or categorization in clinic or school settings.
✗ Skip if Clinicians only running mand or token-economy programs with no equivalence goals.

01Research in Context

01

What this study did

Five adults without disabilities tried to learn three-stimulus classes.

Some classes used shapes that looked alike. Others used random shapes.

The trainer gave many matching-to-sample trials until each person passed.

Then the team tested if the adults could pick the "bigger group" inside each class.

02

What they found

Only two people passed the bigger-group test with look-alike shapes.

After more training, zero of three people passed.

When the trainer switched to random shapes, all three people passed.

Arbitrary shapes made the hidden rule pop out.

03

How this fits with other research

Brown et al. (1994) saw perfect transitivity in pigeons years earlier. Birds got it; most humans here did not. The bird task was simpler—no "bigger group" test—so success was easier.

Zhirnova et al. (2025) later added naming games: kids both said and heard the class name. Every child then showed transitivity plus analogy. Adding talk may fill the gap Brian et al. left.

Bruns et al. (2004) also saw mixed results with toddlers using random shapes. They proved that listener-only drills are too weak; you need naming or extra tact trials. Brian’s adults may have needed the same boost.

04

Why it matters

If your learner is stuck on equivalence, swap to arbitrary stimuli first. Then add bidirectional naming—have the learner both say and point to the class name. This two-step tweak can turn failed probes into solid emergent relations.

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Re-run your equivalence probe with new arbitrary shapes and add a quick tact+listener component.

02At a glance

Intervention
stimulus equivalence training
Design
single case other
Sample size
11
Population
neurotypical
Finding
mixed

03Original abstract

Three experiments investigated responding consistent with transitive class containment, a feature of hierarchical classification. Experiment 1 replicated key components of a preliminary attempt to model hierarchical classification (Griffee & Dougher, 2002) and tested for responding consistent with transitive class containment. Only 2 out of 5 participants showed the expected pattern. Experiment 2 tested whether repeated exposures to the Experiment 1 protocol would give rise to the expected pattern more reliably. None of 3 novel participants demonstrated the pattern. In Experiment 3, physically similar stimuli used in Experiments 1 and 2 were replaced across testing cycles by arbitrary stimuli. Transitive-class-containment-consistent responding was observed in all 3 novel participants. Implications, limitations and future research are discussed.

Journal of the experimental analysis of behavior, 2011 · doi:10.1901/jeab.2011.96-243