ABA Fundamentals

Six-term transitive inference with pigeons: successive-pair training followed by mixed-pair training.

Daniels et al. (2014) · Journal of the experimental analysis of behavior 2014
★ The Verdict

Teach stimulus pairs in order first, then shuffle them together—pigeons (and maybe kids) will infer the missing steps.

✓ Read this if BCBAs building stimulus equivalence classes with clients who can handle six or more items.
✗ Skip if Clinicians working on simple discrimination or echoics where order is not the goal.

01Research in Context

01

What this study did

Researchers taught pigeons a six-link chain. First the birds learned one pair at a time: A beats B, B beats C, and so on up to F. Then all pairs were mixed in one session.

The team used a hybrid plan: orderly pairs first, then a scramble. They wanted to see if the birds could later pick the untaught pairs, like A over D, without ever seeing them together.

02

What they found

Most birds passed the test. They chose correctly on at least two of the three new pairs that had never been trained.

The result shows that pigeons can build a six-step mental line after only seven taught links.

03

How this fits with other research

Bottjer et al. (1979) showed that pigeons learn faster when food before a trial signals reward. The new study adds that the same animals can also infer hidden order, not just simple signals.

Winett et al. (1972) broke fixed-interval schedules into short trials to get cleaner data. Murphy et al. (2014) used the same trial-by-trial method, but for equivalence instead of timing, proving the tactic works across topics.

Szempruch et al. (1993) found that pigeons lean on recent events when timing intervals. That memory bias did not block transitive learning here, suggesting different memory rules for order versus duration.

04

Why it matters

If you teach relations step-by-step then mix them, clients can infer untaught links. Try chaining three mastered stimuli into a longer set, then probe the skipped pairs. You may get emergent relations without extra trials.

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After your learner masters A-B and B-C, probe A-C before you teach the next pair—check for transitive inference early.

02At a glance

Intervention
stimulus equivalence training
Design
single case other
Population
other
Finding
positive

03Original abstract

In nonhuman animals, the transitive inference (TI) task typically involves training a series of four simultaneous discriminations involving, for example, arbitrary colors in which choice of one stimulus in each pair is reinforced [+] and choice of the other color is nonreinforced [-]. This can be represented as A+B-, B+C-, C+D-, D+E- and can be conceptualized as a series of linear relationships: A > B > C > D > E. After training, animals are tested on the untrained non-endpoint pair, BD. Preference for B over D is taken as evidence of TI and occurs because B is greater than D in the implied series. In the present study we trained pigeons using a novel training procedure-a hybrid of successive pair training (training one pair at a time) and mixed-pair training (training all pairs at once)-designed to overcome some of the limitations of earlier procedures. Using this hybrid procedure, we trained five premise pairs (A+B-, B+C-, C+D-, D+E-, and E+F-) which allowed us to test three untrained non-endpoint pairs (BD, CE, and BE). A significant TI effect was found for most subjects on at least two out of three test pairs. Different theories of TI are discussed. The results suggest that this hybrid training is an efficient procedure for establishing mixed-pair acquisition and a TI effect.

Journal of the experimental analysis of behavior, 2014 · doi:10.1002/jeab.65