ABA Fundamentals

Summation of responding maintained by fixed-interval schedules.

Miller et al. (1970) · Journal of the experimental analysis of behavior 1970
★ The Verdict

Two FI cues slammed together give you the sum of their single rates, but chaining or early-link placement can flip the effect.

✓ Read this if BCBAs teaching chained schedules or using compound SDs in classrooms or clinics.
✗ Skip if Practitioners working solely on simple FR or VR programs with no compound stimuli.

01Research in Context

01

What this study did

Schwarz et al. (1970) worked with pigeons on fixed-interval (FI) schedules. Each bird pecked for food on two separate FI schedules. Each schedule had its own colored light.

Next the team turned on both lights at once. They wanted to see if response rates would add up when the two stimuli were compounded.

02

What they found

When both lights came on together, the birds pecked almost exactly the sum of their single-stimulus rates. The compound cue did not average or suppress responding.

The result held across early, middle, and late segments of the FI. Additive summation was steady, not a fleeting artifact.

03

How this fits with other research

Dove et al. (1974) extended the same question to chained FI schedules. They saw additive summation when the compound sat in the terminal link, but saw suppression when it sat in the initial link. Position in the chain flips the effect.

Davis et al. (1972) moved from food to avoidance. They also found additive summation: tone-plus-light produced more avoidance responses and fewer shocks. The rule holds across reinforcer types.

Cherek et al. (1970) flipped the valence to conditioned suppression. Two fear cues together created stronger suppression than either alone. Summation works in both appetitive and aversive domains.

04

Why it matters

When you blend two SDs that already control FI behavior, expect the rates to stack, not cancel. Use this to build high-energy compound cues for skill drills or to maintain momentum during long waits. Just watch where in the chain or session you place the blend—early links can flip the effect to suppression.

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→ Action — try this Monday

Try pairing two brief SDs your learner already follows; measure if response rate doubles—then test moving the compound to an earlier chain link to see if it holds.

02At a glance

Intervention
not applicable
Design
single case other
Finding
positive

03Original abstract

A light and tone were separately correlated with responding maintained by fixed-interval schedules, in which the level of responding varied continuously throughout the duration of the interval. Responding during the presence of the single stimuli and their compound was compared during the successive segments of the interval. The following results were obtained: (1) more responses were emitted during compounding than were emitted during either stimulus alone in all segments of the interval; (2) increases in the number of responses across the interval during compounding paralleled increases during single-stimulus presentations. The sum of the responses emitted during the single stimuli was similar to the number of responses emitted during compounding, suggesting that the response tendencies correlated with the single stimuli combined in a summative or additive fashion.

Journal of the experimental analysis of behavior, 1970 · doi:10.1901/jeab.1970.13-199