The finite iterative method for calculating the correlation matrix implied by a recursive path model

The computation of the implied correlation matrix using a recursive structural equation model without latent variables "Path Analysis" is a crucial step. This can be made by the said Jöreskog' method which requires matrix inversion. This paper presents an alternative method of calculation. The originality of this new method is that it is based on direct calculations for obtaining the explicit expression of the implied correlation matrix in terms of model parameters whatever the complexity of the model.