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Error terms

Posted: Tue Feb 01, 2022 4:02 pm
by rathor1072@gmail.com
Hi
I need to do power analysis using the technique mentioned in this paper. For that, I need error terms. I have reflective and formative variables in my research model. How can I find error terms for these variables(formative)?

Aguirre-Urreta, M., & Rönkkö, M. (2015). Sample Size Determination and Statistical Power Analysis in PLS Using R: An Annotated Tutorial. Communications of the Association for Information Systems, 36, 3. doi:10.17705/1CAIS.03603

Thank you

Re: Error terms

Posted: Thu Feb 03, 2022 8:58 am
by jmbecker
For the approach you need the error variance. For reflective measures these can easily be calculated as 1-loading^2. For example, a loading of 0.7 has 1-0.7^2=0.51 error variance and a loading of 0.8 has 1-0.8^2=0.36 error variance (as also shown in their example).

Formative measures are assumed to be error free in PLS (i.e., composite indicators). Thus, the error variance of the construct should be zero.

Re: Error terms

Posted: Tue Feb 08, 2022 5:49 am
by rathor1072@gmail.com
Thank you Dr. Becker. This is very helpful.