ABA Fundamentals

Fixed-ratio reinforcement of spaced responding.

Bigelow (1971) · Journal of the experimental analysis of behavior 1971
★ The Verdict

Correct response rate is the first place to look when you tweak FR size during spaced-response training.

✓ Read this if BCBAs building fluency programs that mix DRL or FR with accuracy requirements.
✗ Skip if Clinicians who run only interval or variable-ratio plans.

01Research in Context

01

What this study did

Bigelow (1971) used pigeons on a fixed-ratio schedule that paid only for responses spaced in time.

The birds had to wait a set number of seconds between pecks, then finish the ratio to earn food.

The team changed ratio size across conditions to see which measure—rate, spacing, or accuracy—moved first.

02

What they found

Correct response rate rose as the ratio got smaller.

The spaced-response pattern stayed almost the same no matter the ratio.

This tells us ratio size mainly tweaks correct output, not the timing rule the bird already learned.

03

How this fits with other research

Byrd (1972) looks like a contradiction: that study said each stimulus controls its own response timing, so changing one contingency should not spill over.

Bigelow (1971) found the same independence—ratio size altered correct rate but left the spacing rule intact—so both papers agree that timing and accuracy are separate levers.

HENDRY et al. (1964) ran FR schedules earlier and saw slow, odd responding when reward size was tied to the ratio; Bigelow (1971) kept reward size flat and got clean rate changes, showing the critical variable is ratio size, not reward size.

Bennett et al. (1998) later showed ratio schedules produce less persistence than interval ones; G’s quick rate shifts preview that fragility.

04

Why it matters

When you shape spaced responding with an FR schedule, watch correct rate first. It is the fastest signal that the ratio is too big or just right. Timing patterns will lag behind, so do not wait for them to change before you adjust the schedule.

Free CEUs

Want CEUs on This Topic?

The ABA Clubhouse has 60+ free CEUs — live every Wednesday. Ethics, supervision & clinical topics.

Join Free →
→ Action — try this Monday

Count correct responses minute-by-minute after you lower the FR requirement; raise the ratio again only if correct rate stays high.

02At a glance

Intervention
other
Design
single case other
Finding
positive

03Original abstract

Responses by rats were reinforced with food under a second-order schedule involving fixed-ratio reinforcement of temporally spaced responses. Requirements of 20, 8, and 3 responses were examined. The typical characteristic of spaced responding was maintained under the ratio schedules: interresponse time distributions were similar to those typically seen, and were not noticeably affected by the ratio value. Comparison of total response rate, correct response rate, and accuracy showed correct response rate to be the most consistently affected by changes in the ratio value. Substantial evidence of schedule control was seen only for correct responses. Incorrect response records were erratic, but rates generally declined as reinforcement was approached. Correct response records were characterized by increasing rate as reinforcement was approached. It was suggested that the pattern of fixed-ratio performance revealed may be affected by the behavioral unit examined.

Journal of the experimental analysis of behavior, 1971 · doi:10.1901/jeab.1971.16-23