In Principal Component Analysis, Rotated Component Matrix shows the loadings. How can we calculate factor loadings in PLS SEM approach using our own algorithm. Are PCA loadings same as the PLS SEM ?
When the analysis of the model yields the factorial loads, PCA has to do with other objectives different from the factorial analysis.
Dear Junaid Ansari
Starting with the Principal Component Analysis (PCA), which is a part of the dimension reduction methodologies with the main aim to reduce the number of factors. Therefore, it can be referred to as an explanatory approach rather than a confirmatory approach. This implies that the (PCA) loadings and confirmatory factor analysis (CFA) do not have to match each other, due to different intention of their designed algorithms.
In addition, as you may know, although many scholars refer to the partial least square structural equation modelling (PLS-SEM) as more of predictive oriented than the traditional covariance-based structural equation modelling (CB-SEM), however, the main step prior the assessment of the (structural model/ inner model) is to test the (measurement model/ outer model) to ensure it meets the requirement of the validity and reliability (PLS-SEM). In other words, the (PCA) should not be used to validate the (measurement model/ outer model). Instead, it can be used if you are developing a new scale.
Finally, to calculate the factor loading for the partial least square structural equation modelling, I can recommend you to use either SmartPLS or the package of plspm in R.
@Belal Edries Thank You sir for the comprehensive comment. I need to know the steps to calculate factor loadings in measurement model if PLS SEM without using Smart PLS. Can I calculate the loadings in excel or any other custom made application using the matrix based calculations?
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