Robustness of normal theory methods in the analysis of linear latent variate models

The structure of the covariance matrix of sample covariances under the class of linear latent variate models is derived using properties of cumulants. This is employed to provide a general framework for robustness of statistical inference in the analysis of covariance structures arising from linear latent variate models. Conditions for normal theory estimators and test statistics to retain each of their usual asymptotic properties under non-normality of latent variates are given. Factor analysis, LISREL and other models are discussed as examples.     

The transition to parenthood: II. Stability and change in marital structure

At 1 year postpartum, 22 of 38 couples demonstrated the same level of marital competence as they had prenatally, 14 couples demonstrated deterioration in their marital relationship, and 2 couples were improved. At each of four levels of marital competence, there was a trend for the couples to demonstrate the same relationship response to parenthood. Highly competent relationships remained at high levels of competence. Competent but pained relationships were most vulnerable to regressive change in structure. Dominant-submissive, complementary relationships tended to remain stable at that level. Dominant-submissive, conflicted or severely conflicted relationships were most unpredictable and stability, regression, and improvement were seen. These findings are explored for possible correlations and are discussed from the perspective of several current models of family development.