By Hideo Kusuoka and Julien I.E. Hoffman
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S. = not significant. 1 Conceptual Overview In particular, the addition of at least one more construct, Q, is necessary for state-of-the-art mediation modeling, even if the researcher cares more about X, M, and Y than Q (Bentler, 2001). The primary theoretical purpose of the additional construct is the enhanced sophistication of the nomological network, which makes the positing of plausible alternative theories for observed data patterns more difficult to generate, thereby making the nature of the results more statistically and conceptually certain.
4. These models behave differently because the introduction of Q as an antecedent to M or Y means there will be two exogenous constructs (X and Q), which in turn brings a statistical (conceptual and empirical) requirement that their correlation be represented and estimated. 4) yield only one (one degree of freedom is used in the estimation of the exogenous intercorrelation). More problematic is the fact that the three focal mediation path coefficients are no longer invariant. 4 Do Not Introduce Q as an Antecedent to M or Y to expect (as representing the known population structure).
4 Fitting the Measurement Model Next, we consider the conceptual and practical issues of fitting the measurement model to data. First, the three-variable model is discussed, then multiple measures are introduced, then the LISREL syntax is offered and explained. 1 How to Fit the Basic Three-Variable Mediation via SEM When SEM is the tool used for mediation analyses, one model is fit. The paths from X → M, X → Y, and M → Y are all estimated simultaneously. 24 The researcher does not fit a series of equations or models per the regression techniques.