Hi scholars,
I was recently asked to produce a calculation formula for the PLSSEM 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 !
Calculation formula for PLSSEM approach

 SmartPLS Developer
 Posts: 1293
 Joined: Tue Mar 28, 2006 11:09 am
 Real name and title: Dr. JanMichael Becker
Re: Calculation formula for PLSSEM approach
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: NorthHolland.
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/ ... ssembook
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: NorthHolland.
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/ ... ssembook
Dr. JanMichael Becker, BI Norwegian Business School, SmartPLS Developer
Researchgate: https://www.researchgate.net/profile/Jan_Michael_Becker
GoogleScholar: http://scholar.google.de/citations?user ... AAAJ&hl=de
Researchgate: https://www.researchgate.net/profile/Jan_Michael_Becker
GoogleScholar: http://scholar.google.de/citations?user ... AAAJ&hl=de

 PLS Junior User
 Posts: 9
 Joined: Wed Sep 05, 2018 2:46 am
 Real name and title: Tan Kim Lim, PhD Candidate
Re: Calculation formula for PLSSEM approach
Thanks Prof for replying. Appreciate it.