D. Stafford et Mn. Branch, EFFECTS OF STEP-SIZE AND BREAK-POINT CRITERION ON PROGRESSIVE-RATIO PERFORMANCE, Journal of the experimental analysis of behavior, 70(2), 1998, pp. 123-138
Key pecking by pigeons was maintained by arithmetic progressive-ratio
schedules of food delivery. Successive conditions arranged different s
tep sizes, and each condition remained in effect until behavior appear
ed stable. Each session continued until a period of time passed in whi
ch no key pecks were recorded (the break-point criterion); both a 5-mi
n and a 15-min criterion were tested across a range of step sizes. Ave
rage breaking points (i.e, the largest ratio completed) were relativel
y unaffected by step-size magnitude, whereas the average number of rat
ios completed and average response rates generally declined across inc
reasing step sizes. Within sessions, preratio pauses were relatively s
hort and fairly constant in duration as the ratio increased; pause dur
ations increased rapidly near the end of a session. The relation betwe
en the average number of completed ratios and step size was described
well by a power function [y = b(x(a)), in which y represents the avera
ge number of completed ratios, x represents the step size, and a and b
are fitted parameters]. Increasing the break-point criterion from 5 t
o 15 min resulted in increased values of b, whereas parameter a was re
latively unaffected and was close to -1 (consistent with the lack of e
ffect of step size on breaking point). This function also provided an
excellent description of data drawn from previous reports.