I am surprised to see that a
covariate tag does not yet exist, as it would be more applicable than any of the other tags I had to settle for when posting this question: Should covariates that are not statistically significant be 'kept in' when creating a model?
covariance exists, but does not seem to be a match at all, as it does not distinguish between IVs that are in or not in a model.
Side note: I am tagging this as a feature request, since I am asking for a change, but it's a tiny feature request...which could be implemented by any one of many, many site users! ;)