ABA Fundamentals

Preference for mixed- versus fixed-ratio schedules.

Fantino (1967) · Journal of the experimental analysis of behavior 1967
★ The Verdict

Organisms often prefer mixed schedules even when the payoff is the same — use this to boost engagement.

✓ Read this if BCBAs running token boards or work sessions in schools or clinics.
✗ Skip if Clinicians who only use pure FI or VI schedules with no client choice.

01Research in Context

01

What this study did

Fantino (1967) let pigeons choose between two keys. One key gave a mixed-ratio schedule. The other gave a fixed-ratio schedule with the same average payoff.

The birds could switch keys at any time. The team recorded which key the bird pecked more.

02

What they found

The pigeons usually picked the mixed-ratio key. They did this even when both keys paid off at the same rate.

Preference flipped only when the fixed-ratio key clearly paid more.

03

How this fits with other research

Mullane et al. (2017) later saw the same pattern in kids. Children chose to do math problems under a mixed schedule that tossed in an easy FR-1 now and then.

Mellott et al. (2023) stretched the idea to duration. Students also liked mixed-duration schedules and worked harder because of it.

HERRNSTEISLOANE (1964) set the stage by showing pigeons prefer variable intervals. Fantino (1967) moved the question to ratio schedules and proved the variability effect still holds.

04

Why it matters

If your client can pick the task, slip a tiny ratio into the mix. A single easy response that earns a token can make the whole job feel better. The learner may stay longer and need less prompting, even when the overall work stays the same.

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→ Action — try this Monday

Add an FR-1 surprise into your token strip and let the learner choose that strip over the usual fixed one.

02At a glance

Intervention
not applicable
Design
single case other
Finding
not reported

03Original abstract

Pigeons' pecks on one key produced a stimulus correlated with a mixed-ratio schedule of food reinforcement. Pecks on a second key produced a stimulus correlated with a fixed-ratio schedule. When the arithmetic mean of the mixed ratios equaled the fixed ratio, the former stimulus maintained a higher rate of pecking. When the fixed ratio was sufficiently smaller, preference shifted to it. The pigeons' relative preference for the schedules could be described by comparing the geometric mean of the reinforcement rates in the several mixed-ratio components with the reinforcement rates in the fixed-ratio components.

Journal of the experimental analysis of behavior, 1967 · doi:10.1901/jeab.1967.10-35