When controlling 이하가 어떤 구조인지? 아래 위 두 문장의 구조가 비슷한데..

Results demonstrated that potentially traumatic events(PTEs) were associated with poor self-rated health independently and when controlling for other significant predictors. 

A는 B와 독립적으로 관련이 있다 when 이하 할때...

A recent history of emotional mistreatment was associated with poor self-rated health independently, but not when controlling for other significant predictors.

A는 B와 독립적으로 관련이있다, 그러나 when 이하 하지 않을 때..

그래도 말이 안되네요..
용어는 PTE로 그냥 번역하면 되고, significant predictors는 구글링해보니 "의미있는 예측인자" 정도로 번역이 되네요..무슨 말인지는 모르겠지만..