It should be noted, however, that randomization theory provides a justification to use ANOVA for designed experiments, even for non-normal data. On the other hand, the Tobit model has strict model assumptions itself, and the usual proof of the consistency of the maximum likelihood estimate in the Tobit model does not work for sensory trials.
Using the same data set as Guillet et al. [Guillet, M., Methot, S., & Rodrigue, N. (2001). Application of Tobit models to handle zero-valued attribute intensities. Presented at the Pangborn conference in Dijon], we compare the two models with the help of permutation tests. Our results indicate that ANOVA allows to test without violating the nominal level, while the Tobit model rejects the null hypothesis too often.