McArdle, J. Jack; McDonald, Roderick P. Some algebraic properties of the reticular action model for moment structures. (English) Zbl 0556.62099 Br. J. Math. Stat. Psychol. 37, 234-251 (1984). A number of models for the analysis of moment structures, such as LISREL, have recently been shown to be capable of being given a particularly simple and economical representation, in terms of the Reticular Action Model (RAM). In contrast to previous treatments, a formal algebraic treatment is provided which shows that RAM directly incorporates many common structural models, including models describing the structure of means. It is also shown here that RAM treats coefficient matrices with patterned inverses simply and generally. Cited in 19 Documents MSC: 62P25 Applications of statistics to social sciences 15A06 Linear equations (linear algebraic aspects) Keywords:path analysis; analysis of moment structures; LISREL; Reticular Action Model; algebraic treatment; RAM PDFBibTeX XMLCite \textit{J. J. McArdle} and \textit{R. P. McDonald}, Br. J. Math. Stat. Psychol. 37, 234--251 (1984; Zbl 0556.62099) Full Text: DOI