In a recent paper in this journal, Canovas, Debert and Pilgrim (The Psychological Record, 65 (2), [337][338][339][340][341][342][343][344][345][346] 2015), in their second experiment, taught participants to make one key press to each of three simple visual stimuli and an alternative response to another three. They then trained two new key presses to one stimulus from each class, which then transferred to the other stimuli in each class. When subsequently presented with compounds of two stimuli, participants indicated Bcorrect^to within-class compounds, but Bincorrect^to between-class compounds. The present study starts with a successful replication of this seemingly new way of establishing stimulus equivalence classes, with an added matching-to-sample test at the end. In two further experiments, the visual stimuli were replaced by non-words, with two further non-words to be said aloud in place of key-presses. These showed that it was possible to establish two or three equivalence classes using such initial discrimination training, even when the prior demonstration of functional equivalence classes by transfer-of-training to a second set of responses was omitted. Other ways of conceptualizing these methods of training are considered, together with some implications for enlarging our understanding of equivalence class formation.The formation of stimulus equivalence classes (Sidman 2000) has been demonstrated following a variety of training procedures. Prototypical are variants of the so-called matchingto-sample (MTS) procedure, where trained relations are established between stimuli in pairs by having one stimulus, the sample, followed by a choice of other stimuli, the comparisons, one of which the participant is taught to choose consistently. A variant of MTS is the single comparison, alternative response procedure, or BGo/No Go^procedure, in which the comparison may be correct or incorrect, and the participant is reinforced for indicating one or the other. A third procedure is respondent-type training in which each sample is followed by its correct comparison in unreinforced pairings, though the demonstration of the resultant emergent equivalence relations requires an MTS test procedure. To what extent are the behavioural manifestations of stimulus equivalence (Sidman and Tailby 1982) indifferent to such varied methods by means of which they may be engendered? Also the yield of these proceduresthe proportion of participants thus trained who form stimulus equivalence classes-is often less than all. Can any simpler ways be found that at least as reliably have the same outcome?Canovas, Debert and Pilgrim (2014) reported two experiments in which functional equivalence classes were established by two different procedures that they described as Bsimple discrimination training^. The first experiment used repeated reversal learning, in which in one reversal each stimulus in one group of three (A1, B1, and C1) served as S+ for a given response, and those in the other group (A2, B2, and C2) as S-, with these roles being s...