The researchers next looked for the presence of a mediated moderation effect. Regression analyses revealed that the type of prime (morality vs. might) mediated the moderating relationship of participants’ social value orientation on PDG behaviour. Prosocial participants who experienced the morality prime expected their partner to cooperate with them, so they chose to cooperate themselves. Prosocial participants who experienced the might prime expected their partner to compete with them, which made them more likely to compete with their partner and cooperate with the authorities. In contrast, participants with a pro-self social value orientation always acted competitively.
So a quick reply that 1) Anyone interested in BART should be using Vince Dorie’s dbarts package in R, 2) Vince and I are going to be working on the MLM version of BART (as well as some other extensions for causal inference) over the next few months so stay tuned, and 3) I’ve yet to see any “auto-tuned” version of GP that works anywhere close to as good as BART with its default prior (though this is potentially a cool research topic and one that Andrew and I have funding to look at), and 4) re trusting individual effects, another way of saying that such estimates are highly model dependent is that I think average treatment effect estimation often benefits from bias cancellation … that advantage evaporates when estimating at the individual level. Thanks for the post Andrew!
If we pass the test of configural invariance, then we need to test for metric invariance. To test for metric invariance, simply perform a chi-square difference test on the two groups just as you would for a structural model. The evaluation is the same as in the structural model invariance test: if you have a significant p-value for the chi-square difference test, then you have evidence of differences between groups, otherwise, they are invariant and you may proceed to make your composites from this measurement model (but make sure you use the whole dataset when you create composites, instead of using the split dataset).