  Nontransitive choices have long been an area of curiosity within economics.
However, determining whether nontransitive choices represent an individual's
preference is a difficult task since choice data is inherently stochastic. This
paper shows that behavior from nontransitive preferences under a monotonicity
assumption is equivalent to a transitive stochastic choice model. In
particular, nontransitive preferences are regularly interpreted as a strength
of preference, so we assume alternatives are chosen proportionally to the
nontransitive preference. One implication of this result is that one cannot
distinguish ``complementarity in attention" and ``complementarity in demand."
