A Structure Diagram Symbolization for Analysis of Variance

A structure diagram symbolization for balanced complete experimental designs of the type encountered in standard balanced analysis of variance (ANOVA) calculations is discussed.From the symbolization, rules of formula derivation for obtaining entries in the traditional ANOVA table are introduced.The method requires recognition of characteristic sets of factors which are combined using the concept of formal interaction.Expected mean squares, F-test ratios, and variance component estimates can be quickly derived using the symbolic method.