R-mode and Q-mode influence analyses in statistical modelling: relationship between influence function approach and local influence approach

摘要: Relationship between the influence analyses based on function (R-mode analysis) and Cook's local (Q-mode is discussed. The equivalent results are obtained under general conditions by these in statistical modelling without/with equality constraints, if same perturbation introduced both analyses. equivalence holds most normal theory multivariate methods including regression analysis, principal component canonical correlation exploratory confirmatory factor analyses, covariance structure analysis with or without constraints.