Zenn Marie Bacsa Comia Yes, there are equations that define general structural equation modeling frameworks. Typically, SEM equations consist of measurement equations linking observed variables (indicators, measured variables) to latent variables and errors of measurement, and structural equations linking latent variables to other latent or observed variables in structural regression equations. In contrast to standard multiple regression, there are multiple simultaneous equations defining most SEM models because most SEMs deal with multiple outcomes (dependent variables). You can find the general equations in virtually all classical and modern texts on structural equation modeling in either matrix or scalar form. For example:
Bollen, K. A. (1989). Structural equations with latent variables. John Wiley & Sons. https://doi.org/10.1002/9781118619179
Hayduk, L. A. (1987). Structural equation modeling with LISREL: Essentials and advances. Johns Hopkins University Press.
@Zenn Yes! You can find equations for different models (SEM/Path Analysis) in AMOS Manual file. I have attached PDF herewith. For equations, refer to last page of each chapter.