The introduction of an additional variable into a bivariate relationship to control for its effects is referred to "elaboration".
Elaboration refers to the s of adding more data to existing, moderately straightforward data to make a progressively mind boggling, new entirety. It includes building up a thought by joining subtleties to enhance the first straightforward thought. Elaboration improves thoughts and protests by giving subtlety and detail. Elaboration may include arranging or executing an assignment with meticulous regard for various parts or details.