A New Analysis of Variance Model for Non-additive Data

where nil is referred to as the interaction between rows and columns, and where 7ii , unlike eii, is no longer considered as just random error. However, a part of 77i may be just random error. Because of the presence of r,i , which, apart from its random error component, is a function of two variables, all advantage of the additive model will be lost, unless one can again partition the non-random portion of n7.i into functions of only one variable each. Obviously, an additive partitioning of 7ii is impossible since all additive parts have already