Calculation formula for PLS-SEM approach

[Kim78]

Hi scholars,

I was recently asked to produce a calculation formula for the PLS-SEM approach. I am asking experts in these forums if there could be any references we could refer to for this reviewer's comment.

Thank you for all the help !

[jmbecker]

You can find good descriptions of the algorithm in the original papers by Wold or Lohmöller:
Lohmöller, J.-B. (1989). Latent variable path modeling with partial least squares. Heidelberg, Germany: Physica.
Wold, H. O. A. (1982). Soft modeling: The basic design and some extensions. In K. G. Jöreskog & H. Wold (Eds.), Systems under indirect observations: Part II (pp. 1–54). Amsterdam: North-Holland.
Wold, H. O. A. (1985). Partial least squares. In S. Kotz & N. L. Johnson (Eds.), Encyclopedia of statistical sciences (pp. 581–591). New York: John Wiley.

A good description can also be found in
Tenenhaus, M., Esposito Vinzi, V., Chatelin, Y.-M., & Lauro, C. (2005). PLS path modeling. Computational Statistics & Data Analysis, 48, 159–205.
or
Chin, W. W. (1998). The partial least squares approach to structural equation modeling. In G. A. Marcoulides (Ed.), Modern methods for business research (pp. 295–358). Mahwah, NJ: Lawrence Erlbaum.

But in general many papers have written in different ways about the algorithm.

A more intuitive explanation, for example, is given in the Primer book by Hair et al. https://www.smartpls.com/documentation/ ... s-sem-book

[Kim78]

Thanks Prof for replying. Appreciate it.