For a balanced one-way classification, where the normally dietributed observations obey a random model y t i = p + b i +cij with two variance components var (if) =uf and var (?ij) =u$, the probability is given that the analysis of variance estimate of ui will be negative. This probability depends on o:/uf and the degrees of freedom in the ANOVA table. Tables for this probability are given. If the normally distributed observations obey an intra-class correlation model, the probability that the Mean Square between groups is smaller than the Mean Square within groups can also be evaluated from the given tables.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.