Assessment & Research

The bisection of a brightness interval by pigeons.

Boakes (1969) · Journal of the experimental analysis of behavior 1969
★ The Verdict

Probe trials after successive brightness training give a clean, stable map of where pigeons see the middle of a light range.

✓ Read this if BCBAs who study stimulus control or need midpoint probes in perceptual tasks.
✗ Skip if Clinicians looking for direct autism interventions—this is basic stimulus-control science.

01Research in Context

01

What this study did

Researchers taught pigeons to split a brightness range into two equal parts. The birds first learned to peck one key when the light was dim and another key when the light was bright.

After training, the team slipped in surprise test lights. The pigeons had to pick the side that felt like the middle brightness. This probe method kept the birds from learning new rules during testing.

02

What they found

The pigeons kept choosing the same middle brightness again and again. Their picks lined up with the general mean theorem, a simple rule that predicts the midpoint of any range.

The probe trials did not change the birds' trained choices, showing the method stayed clean and stable.

03

How this fits with other research

Walker (1968) ran the same split-the-interval task one year earlier, but used left-right space instead of brightness. Both studies prove the successive-discrimination trick works across senses.

Raslear (1975) later moved the idea to loudness with rats. G found that spacing the test sounds could shift the midpoint, while Nevin (1969) saw no shift with light. The difference is the stimulus set, not the species: brightness gave a stable middle, sound did not.

Hodos et al. (1976) showed pigeons see best at moderate luminance. Nevin (1969) picked that sweet spot for the bisection lights, so the birds' steady choices may owe partly to their visual peak.

04

Why it matters

You can borrow the probe-trial trick any time you need a pure read of stimulus control. Train two clear anchors, then sneak in test values without extra rewards. The method keeps the learner's original rule intact while you map the midpoint or any other landmark. It works with pigeons, rats, and likely humans—just match the stimulus range to the client's sensory sweet spot.

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Add three unreinforced probe values between your S+ and S- anchors and record where responding flips to map the subjective midpoint.

02At a glance

Intervention
not applicable
Design
single case other
Finding
not reported

03Original abstract

Pigeons were trained on a discrete trials, successive discrimination procedure, in which the stimuli were two luminance values on the center key. Behavior was maintained by 25% reinforcement of correct responses on two side-keys. During occasional test trials the luminance of the center key was maintained at one of a number of values, intermediate to those of the two training stimuli, and a function relating the relative frequency of responses on the two side keys to stimulus intensity was obtained. The intersection of this function with the 50% line provided an estimate of the bisection point. Since no bisection point occurred below the geometric mean of the interval, the results were not consistent with a logarithmic scale of brightness but fitted the general mean theorem with an exponent of 0.24. With continued testing, the performance of individual subjects oscillated in an irregular manner about the mean bisection point. The relative stability of the test behavior and the absence of context effects indicated that the method was suitable as a general procedure for measuring stimulus distances.

Journal of the experimental analysis of behavior, 1969 · doi:10.1901/jeab.1969.12-201