The preference reversal phenomenon is usually interpreted as evidence of nontransitivity of preference, but has also been explained as the result of: the difference between individuals' responses to choice and valuation problems; the devices used by experimenters to elicit valuations; and the "random lottery selection" incentive system. This paper reports an experiment designed so that none of these factors could generate systematic nontransitivities; yet systematic violations of transitivity were still found. The pattern of violation was analogous with that found in previous preference reversal experiments and is consistent with regret theory.