## T-statistic difference in Path Coefficient and Outer Loading

Frequently asked questions about PLS path modeling.
rizka.khairunnisa
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Joined: Tue Feb 13, 2018 1:32 am
Real name and title: Rizka Khairunnisa, S.ST

### T-statistic difference in Path Coefficient and Outer Loading

If we do bootstrapping, we can see T-statistic value in Path Coefficient and in Outer Loading tab. What are the differences between them?
Based on literatures I read, T-statistic value in Path Coefficient describes whether the the hypothesis is rejected or accepted. Then, what are described by the T-statistic value in Outer Loading?

cringle
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Real name and title: Prof. Dr. Christian M. Ringle
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### Re: T-statistic difference in Path Coefficient and Outer Loading

Exactly what you say: the t value of the outer loading (which usually are very high). But you should rather use the 95% bias-corrected and accelerated (BCa) bootstrap confidence intervals for significance resting (and report those results).

Regards
Christian

elenag2
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Joined: Thu Feb 07, 2019 4:32 pm
Real name and title: Elena Gorokhova

### Re: T-statistic difference in Path Coefficient and Outer Loading

I would like to elaborate on this question. When optimizing the model - what is more important: to get more significant path coefficient for IV-LV path or significant indicators for LV? In my model, both are on the border of significance threshold and by increasing the one I decrease the other...
/Elena

jmbecker
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Real name and title: Dr. Jan-Michael Becker

### Re: T-statistic difference in Path Coefficient and Outer Loading

First, it depends on what type of measures you have. For reflective measures you always want high and significant loadings of all your indicators to ensure the reliability of your measurement of the constructs.

Second, you want to test the significance of your paths, i.e., find out if one construct has an influence on another as hypothesized by your theory.

Finally, you should not fudge with the significance. Don't optimize your model to get more or better results. Model according to your theoretical considerations and interpret the results.
Dr. Jan-Michael Becker, University of Cologne, SmartPLS Developer
Researchgate: https://www.researchgate.net/profile/Ja ... v=hdr_xprf