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A mediator is a variable that plays an intermediate role in a causal chain, i.e., the 1st variable in the chain causes the mediator, which in turn causes the 3rd variable. Partial mediation is when the 1st variable causes the 3rd both through the mediator & directly.
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Testing parameter significance vs model fit
In one of our studies we test a mediation hypothesis in a longitudinal (it's actually panel data) study with 4 measurement waves. … We test a setup similar to one outlined by Cole & Maxwell (2003) for
longitudinal mediation analysis. We find the hypothesized indirect effects. …