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Simple mediation model. The independent variable causes the mediator variable; the mediator variable causes the dependent variable. In statistics, a mediation model seeks to identify and explain the mechanism or process that underlies an observed relationship between an independent variable and a dependent variable via the inclusion of a third hypothetical variable, known as a mediator ...
To quantify the effect of a moderating variable in multiple regression analyses, regressing random variable Y on X, an additional term is added to the model. This term is the interaction between X and the proposed moderating variable. [1] Thus, for a response Y and two variables x 1 and moderating variable x 2,:
Moderated mediation, also known as conditional indirect effects, [2] occurs when the treatment effect of an independent variable A on an outcome variable C via a mediator variable B differs depending on levels of a moderator variable D. Specifically, either the effect of A on B, and/or the effect of B on C depends on the level of D.
This total amount of variance in the dependent variable that is accounted for by the independent variable can then be broken down into areas c and d. Area c is the variance that the independent variable and the dependent variable have in common with the mediator, and this is the indirect effect.
The CFA is also called as latent structure analysis, which considers factor as latent variables causing actual observable variables. The basic equation of the CFA is X = Λξ + δ where, X is observed variables, Λ are structural coefficients, ξ are latent variables (factors) and δ are errors.
A suppressor variable is a variable that increases the predictive validity of another variable when included in a regression equation. [1] Suppression can occur when a single causal variable is related to an outcome variable through two separate mediator variables, and when one of those mediated effects is positive and one is negative.
A mediator variable is used to explain the correlation between two variables. A moderator variable affects the direction or strength of the correlation between two variables. A spurious relationship is a relationship in which the relation between two variables can be explained by a third variable.
The term e i is known as the "error" and contains the variability of the dependent variable not explained by the independent variable. [citation needed] With multiple independent variables, the model is y i = a + bx i,1 + bx i,2 + ... + bx i,n + e i, where n is the number of independent variables. [citation needed]