Am conducting a multgroup analysis in PLS-SEM using SmartPLS 3 and I came across an interesting situation.

There is a moderator variable which is having an effect on one group (lets say X1) and not having an effect on another (say X2), this is evident by the t-values and probability obtained. But the inter-group difference of t-value isnt significant. How to report this? Assume that the moderator has only two categorical levels.

What I inferred was that since there were no inter-group differences in terms of p-value, even though X1 has a significant p-value, it might be considered a sampling error and for the general population there is no moderating effect of X on the relationship. Thus, no heterogeneity was observed. 

Is this correct?

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