Linear regression
Interpretation

It is possible that the unique effect can be nearly zero even when the marginal effect is large. This may imply that some other covariate captures all the information in x, so that once that variable is in the model, there is no contribution of x to the variation in y. Conversely, the unique effect of x can be large while its marginal effect is nearly zero. This would happen if the other covariates explained a great deal of the variation of y, but they mainly explain variation in a way that is complementary to what is captured by x. In this case, including the other variables in the model reduces the part of the variability of y that is unrelated to x, thereby strengthening the apparent relationship with x.
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