Two models : Comparison based on path coefficient and R²

Questions about the implementation and application of the PLS-SEM method, that are not related to the usage of the SmartPLS software.
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etudiant
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Two models : Comparison based on path coefficient and R²

Post by etudiant »

My question is related to the PLS approach ,and I can rephrase it as follows:

If I have 2 PLS models (developed with the same data set):
-The first model contains two latent variables: A1 and B.
-The 2nd model contains two latent variables: A2 and B (the same B of the model 1).
- Both models show that A1 and A2 have a positive and significant effect on B ( Path coefficient> 0.1 and t> 1, 645, One-tailed (Using Bootstrap).

I now want to show that the effect of A1 on B is greater than the effect of A2 on B
-By comparing the 2 models we find that:
- [Path coefficient of A1 => B (model1)=0,573 ] > [Path coefficient A2 => B (model2)= 0,398]
- [R² of B (model1)=0,328] > [R² of B (model2)=0,158]

With this comparison (based on the path coefficient and R²) can we conclude that: "the effect of A1 on B is greater than the effect of A2 on B" ?
If no, how can I demonstrate it?
jmbecker
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Real name and title: Dr. Jan-Michael Becker

Re: Two models : Comparison based on path coefficient and R²

Post by jmbecker »

Without having both variables in the same model it is very hard to make claims about one effect being significantly larger than the other. Especially in PLS where we do not have distributional assumptions.
You could investigate the confidence intervals, If they do not overlap that could be an indication for the one effect being larger than the other.
Dr. Jan-Michael 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
etudiant
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Re: Two models : Comparison based on path coefficient and R²

Post by etudiant »

Below my confidence intervals Histogram charts ,how can I investigate them ?

A1==> B
Image

A2==>B
Image
jmbecker
SmartPLS Developer
Posts: 1282
Joined: Tue Mar 28, 2006 11:09 am
Real name and title: Dr. Jan-Michael Becker

Re: Two models : Comparison based on path coefficient and R²

Post by jmbecker »

Based on the histograms it seems that they overlap. But you also get the confidence intervals in SmartPLS. If they overlap you cannot conclude that one effect is larger than the other.
Dr. Jan-Michael 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
Alexandra
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Real name and title: Dr. Alexandra S. Kang

Re: Two models : Comparison based on path coefficient and R²

Post by Alexandra »

what it means when the confidence intervals overlap?
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