Oblique rotations permit correlations among factors, though the factors thus identified may not correlate. IfAn factorsadvantage doof notoblique correlaterotation (correlationis estimatesthat approximateit zero), these rotations may produceproduces solutions similarwith tobetter orthogonalsimple rotation.structure Severalwhen oblique rotation proceduresfactors are commonlyexpected used,to such as [[Factor analysis#Rotation methods|direct oblimin rotation]]correlate, directand quartiminit rotation,produces promaxestimates rotation,of andcorrelations Harris-Kaiseramong orthoblique rotationfactors.<ref name=Fabrigar/>. AnThese advantagerotations ofmay oblique rotation is that it producesproduce solutions withsimilar betterto simpleorthogonal structurerotation becauseif it allowsthe factors todo not correlate,andwith produceseach estimates of correlations among factorsother.<refname =Fabrigar/>
Several oblique rotation procedures are commonly used.
Direct oblimin rotation is the standard oblique rotation method. Promax rotation is often seen in older literature because it is easier to calculate than oblimin. Other oblique methods include direct quartimin rotation and Harris-Kaiser orthoblique rotation.<ref name =Fabrigar/>
