Bootstrapping 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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SBx
PLS Junior User
Posts: 1
Joined: Thu Jul 18, 2019 4:20 pm
Real name and title: Sonia

Bootstrapping R2

Post by SBx »

I was just looking through the results of my model and found the bootstrapping of the R2.

The R2 of one of my variables is 0.116 which I would consider quite low considering the field of research.
Surprisingly the t-value of that variable is 2,434 and therefore significant.

Since I’ve never come across a bootstrapped R2 in literature, I was wondering how to interpret (and report) this result.
So my questions are:

1. How do I interpret a low but significant R2?
2. Is it common/advisable to report the (non-)significance of R2?

Thanks a lot in advance.
jmbecker
SmartPLS Developer
Posts: 1284
Joined: Tue Mar 28, 2006 11:09 am
Real name and title: Dr. Jan-Michael Becker

Re: Bootstrapping R2

Post by jmbecker »

It is rarely reported in PLS, but an F test on the R² is quite common in regression analysis. This is very similar owing to the fact that PLS is nonparameteric and therefore F test is not viable.
And even low R² can be significant if it has small variability.
Maybe even more interesting than the significance is the confidence interval to show the uncertainty in your R² estimate.
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
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