“…The idealized versions of these two schedules are the random ratio (RR) and random interval (RI) schedules, where the probability of reinforcement per response-in the ratio case-and the probability of a reinforcer becoming available per second-in the interval case-are given by binomial (or geometric) distribution (see Cardinal & Aitken, 2010). Using a variety of species and target instrumental responses, a wealth of evidence has shown that ratio schedules support higher response rates than interval schedules despite the probability of reinforcement or the reinforcement rate being matched (Bradshaw, Freegard, & Reed, 2015;Bradshaw & Reed, 2012;Catania, Matthews, Silverman, & Yohalem, 1977;Dawson & Dickinson, 1990;Peele, Casey, & Silberberg, 1984;Reed, 2001aReed, , 2001cZuriff, 1970). Mackintosh (1974) was fully aware of the ratio-interval contrast and discussed whether ratio and interval schedules differentially reinforce divergent response rates-that is, whether different response rates bring about different reinforcement probabilities on ratio and interval schedules.…”