abstractStochastic models for many processes that arise in the life, physical, and engineering sciences must be able to accommodate skew. Among the more frequently used models of this sort are the extreme-value, gamma, inverse Gaussian, lognormal, and WeibuJl densities. Goodness–of–fit test generally have little ability W distinguish between these competing models, and the decision to adopt one model to the exclusion of the others may hinge on the inferential analysis procedures available for the adopted model. Among the previously listed models, the inverse Gaussian density offers a variety of analyses that are comparable to those available for the normal dislribution, such as regression, t-tests, confidence intervals, and an alternative to the analysis of variance (ANOYA) for skewed data. This alternative to ANOYA is refeITed to as analysis of reciprocals (ANORE) and provides the topic for this paper.